Relevant bibliographies by topics / Circle and point

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Circle and point'

Author: Grafiati
Published: 5 June 2025
Last updated: 16 July 2025

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Journal articles on the topic "Circle and point"

1

Brown, Matthew R. "Laguerre geometries and some connections to generalized quadrangles." Journal of the Australian Mathematical Society 83, no. 3 (2007): 335–56. http://dx.doi.org/10.1017/s1446788700037964.

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AbstractA Laguerre plane is a geometry of points, lines and circles where three pairwise non-collinear points lie on a unique circle, any line and circle meet uniquely and finally, given a circle C and a point Q not on it for each point P on C there is a unique circle on Q and touching C at P. We generalise to a Laguerre geometry where three pairwise non-collinear points lie on a constant number of circles. Examples and conditions on the parameters of a Laguerre geometry are given.A generalized quadrangle (GQ) is a point, line geometry in which for a non-incident point, line pair (P. m) there exists a unique point on m collinear with P. In certain cases we construct a Laguerre geometry from a GQ and conversely. Using Laguerre geometries we show that a GQ of order (s. s2) satisfying Property (G) at a pair of points is equivalent to a configuration of ovoids in three-dimensional projective space.
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2

Shemyakina, E. "Pencils of circles with a straight line and circle as the basic elements." Differential Geometry of Manifolds of Figures, no. 50 (2019): 169–76. http://dx.doi.org/10.5922/0321-4796-2019-50-19.

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Pencils of circles with are a straight line and a circle as the basic elements are investigated. Three cases of arrangement of a basic straight line and a circle are considered: when the straight line does not intersect a circle, when the straight line and a circle have one generic point, and when the straight line intersects a circle in two points. A parameter is entered and the equations of new pencils of circles are registered. By means of mathematical manipulations the obtained equations are given to the initial equation of a circle. Different values are attached to the parameter and the circles belonging to new pencils are constructed. Based on the obtained graphs it is concluded that the pencil with not intersecting basic straight line and a circle forms a hyperbolic pencil of circles, a pencil with a basic straight line and a circle having one generic point forms a parabolic pencil, and a pencil with the intersecting basic straight line and a circle forms an elliptic pencil.
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Umbetov, N. "Demonstration of Common Elements of Involution on a Simple Example." Geometry & Graphics 10, no. 2 (2022): 27–34. http://dx.doi.org/10.12737/2308-4898-2022-10-2-27-34.

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The involution of projective rows with a common support, its geometric interpretation are considered. Taking the special case of the geometric interpretation of involution, the problem of constructing harmonically conjugate points is solved for given initial conditions, when one circle and a radical axis of this circle with a bundle of corresponding circles with a common radical axis are given. A proposal is given on the existence of a single circle in a bundle, the diametrical points of which on the lines of centers make up a harmonic four with diametral points of a given circle. It is shown that using the diametrical points of a given circle and points P, Q of the radical axis in elliptical involution, you can build double points X, Y and the radical axis of the PQ of circles in hyperbolic involution. And the tangent from the vertical diammetral point of the circle w1 to the circle passing through double points of hyperbolic involution - there is a point P(Q) of the radical axis of elliptical involution. The indicated properties make it possible to carry out a mutual transition from one involution to another. It was established that the diagonals of the quadrangles obtained when crossing all the circles of the bundle, orthogonal to the two given in elliptical involution, intersect in the center of the radical axis of the given circles in hyperbolic involution, and the diagonals of the quadrangles of all circles of the beam in hyperbolic involution are intersected in the center of the radical axis of the given circles in elliptical Involution. 
 The geometric place (GP) of each point of the harmonic four is constructed. In this case, the geometric place a pair of harmonic four in an elliptic involution turns out to be an ellipse that has a common tangent at points P with the circle of double points of the hyperbolic involution. And the GP pairs of the harmonic four for hyperbolic involution are two branches of the hyperbola that pass through the centers of the circles that define the elliptical involution.
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Кайынбаев, Жанбулат, та М. К. Нұрпейіс. "ШЕҢБЕР МЕН ДӨҢГЕЛЕККЕ БАЙЛАНЫСТЫ КҮРДЕЛІ ЕСЕПТЕРДІҢ БЕРІЛУ ТӘСІЛДЕРІ ЖӘНЕ ОЛАРДЫ ШЕШУ ЖОЛДАРЫ". Педагогика и методы обучения 60, № 3 (2022): 112–27. http://dx.doi.org/10.47344/sdu20bulletin.v60i3.822.

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The article is devoted to circles and circles, which are important issues in the content of elementary geometry, and ways to solve complex problems related to them. In general, difficult problems in this area include cases where one circle is inside another circle (these are two different things), when two circles have only one common point (there are two types of cases), when two circles intersect at two points and two circles do not have a ommon point. For each of these cases, solutions to difficult problems are discussed. The article also contains difficult tasks of drawing other shapes inside and outside the circle. The article is intended for specialists in the field of mathematics teaching methods, teachers, doctoral students and undergraduates
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Koval, Galyna, Margarita Lazarchuk, and Liudmila Ovsienko. "APPLICATION OF CIRCLES FOR CONJUGATION OF FLAT CONTOURS OF THE FIRST ORDER OF SMOOTHNESS." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 100 (May 24, 2021): 162–71. http://dx.doi.org/10.32347/0131-579x.2021.100.162-171.

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In geometric modeling of contours, especially for conjugation of sections of flat contours of the first order of smoothness, arcs of circles can be applied. The article proposes ways to determine the equations of a circle for two ways of its problem: the problem of a circle with a point and two tangents, none of which contains a given point, and the problem of a circle with three tangents. The equations of the circles were determined in both cases using a projective coordinate system.
 In the first case, when a circle is given by a point and two tangents, neither of which contains this point, the center of the conjugation circle is defined as the point of intersection of two locus of points - the bisector of the angle between the tangents and the parabola, the focus of which is a given point. given tangents. In the general case, there are 2 conjugation circles for which canonical equations are defined. Parametric equations of conjugate circles, the parameters of which are equal to 0 and ∞ on tangents and equal to one at a given point, with the help of affine and projective coordinates of points of contact are determined first in the projective coordinate system, and then translated into affine system.
 For the second case, when specifying a circle using three tangent lines, the equation of the second-order curve tangent to these lines is first determined in the projective coordinate system. The tangent lines are taken as the coordinate lines of the projective coordinate system. The unit point of the projective coordinate system is selected in the metacenter of the thus obtained base triangle. The equation of the tangent to the base lines of the second order contains two unknown variables, positive or negative values ​​which determine the location of four possible tangents of the second order. After writing the vector-parametric equation of the tangent curve of the second order in the affine coordinate system, the equation is written to determine the parameters of cyclic points. In order for the equation of the tangent curve of the second order obtained in the projective plane to be an equation of a circle, it must satisfy the coordinates of the cyclic points of the plane, which allows to write the second equation to determine the parameters of cyclic points. By solving a system of two equations, we obtain the required equations of circles tangent to three given lines.
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Kimberling, Clark. "Twenty-one points on the nine-point circle." Mathematical Gazette 92, no. 523 (2008): 29–38. http://dx.doi.org/10.1017/s002555720018249x.

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The nine points for which the nine-point circle is named are the vertices of three triangles: the medial, orthic, and Euler triangles of a reference triangle ABC. All nine of the vertices lie on the circle, which Dan Pedoe [1] proclaims ‘the first really exciting one to appear in any course on elementary geometry’. An online summary of properties of the circle, which is also called the Euler circle, is given at MathWorld [2].
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WANG, LIANG, HONGXUN YAO, and H. D. CHENG. "EFFECTIVE AND AUTOMATIC CALIBRATION USING CONCENTRIC CIRCLES." International Journal of Pattern Recognition and Artificial Intelligence 22, no. 07 (2008): 1379–401. http://dx.doi.org/10.1142/s0218001408006831.

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In this paper, we present an effective, flexible and completely automated camera calibration approach using only one pair of concentric circles. This approach utilizes the characteristics of concentric circles' tangent lines to locate the center of these circles, and finds the geometric constraints for calibration based on the orthogonality formed by a point on the circle and the two intersected points of the circle with the line through the center of the circle. The entire process requires no conic equation fitting and no metric measurement of the test pattern, which is very flexible to implement.
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Wijaya, I. P. Hendra, and I. P. Pasek Suryawan. "MENGKONSTRUKSI NINE POINT CIRCLE DAN HUBUNGAN NINE POINT CIRCLE DENGAN CIRCUM CIRCLE SEGITIGA." Jurnal IKA 17, no. 1 (2019): 1. http://dx.doi.org/10.23887/ika.v17i1.19836.

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Pada makalah ini dibahas mengenai cara dalam mengkonstruksi nine point circle dan hubungan antara nine point circle dengan circumcircle segitiga yang ditinjau dari jari-jari dan jarak titik pusatnya ke orthocentre. Diketahui bahwa melalui tiga buah titik yang tidak segaris selalu dapat dikonstruksi sebuah lingkaran, yang dapat juga disebut sebagai circumcircle dari segitiga yang titik-titik sudutnya merupakan tiga buah titik yang tidak segaris tersebut. Namun melalui empat buah titik yang tidak segaris sangatlah jarang dapat dikonstruksi lingkaran, kecuali keempat titik tersebut dapat membentuk segiempat tali busur. Mengingat untuk mengkonstruksi lingkaran yang melalui empat titik yang tidak segaris sangatlah susah, tidak terbayang bagaimana sulitnya untuk mengkonstruksi lingkaran yang melalui sembilan titik yang tidak segaris. Walaupun sangat sulit untuk menemukannya, tetapi ada kondisi khusus dari titik-titik tersebut sehingga kesembilan titik tersebut dapat dilalui oleh sebuah lingkaran, dan lingkaran yang terbentuk disebut dengan “nine point circle”. Untuk dapat mengkonstruksi nine point circle dengan baik dan cepat, diperlukan tahapan-tahapan khusus yang nantinya menjadi panduan dalam mengkonstruksi lingkaran dari sembilan titik yang tidak segaris. Selain itu, jika nine point circle dibandingkan dengan circumcircle segitiga, maka didapatkan hubungan: (1) jari-jari nine point circlesama dengan setengah jari-jari circumcircle segitiga tersebut; (2) jarak titik pusat nine point circle ke orthocentre sama dengan setengah jarak titik pusat circumcircle ke orthocentre. Untuk kajian lebih lanjut terkait hubungan antara nine point circle dengan circumcircle dari segitiga dapat dilanjutkan oleh pembaca.
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Silvester, John R. "Reflected circles, and congruent perspective triangles." Mathematical Gazette 93, no. 526 (2009): 10–26. http://dx.doi.org/10.1017/s0025557200184141.

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For any three points X, Y, Z, let ⊙XYZ denote the circle through X, Y, Z (the circumcircle of ∆XYZ) or, if X, Y, Z happen to be collinear, the line XYZ. (We shall often regard lines as special circles, circles of infinite radius.) This paper is about the following theorem, and extensions of it:Theorem 1: Given ∆ABC and a point P, reflect ⊙PBC, ⊙APC, ⊙ABP in the lines BC, AC, AB respectively. Then the three reflected circles have a common point, Q (see Figure 1).I do not know if this theorem is new, but I have not come across it in the literature. The reader is invited to prove it by angle-chasing, using circle theorems: let two of the reflected circles meet at Q and then prove that this point lies on the third reflected circle. This method is rather diagram-dependent, and does not seem to lead to the extensions of Theorem 1 referred to above in any very obvious manner, so we shall adopt a different approach.
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Calvo, R., A. Arteaga, and R. Domingo. "A comparison of fitting criteria for circle arc measurement applications." IOP Conference Series: Materials Science and Engineering 1193, no. 1 (2021): 012073. http://dx.doi.org/10.1088/1757-899x/1193/1/012073.

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Abstract Measuring circular shape is a main task of dimensional metrology, characterized by circle diameter and its roundness, both for full circles and circle arcs. Point coordinates allows measuring both arcs and full circle, by fitting to substitution geometry, in many cases by least-squares criteria and fitting. Nevertheless, circle shape can be also characterized by the minimum zone, minimum circumscribed and maximum inscribed circles. This research presents a systematic experimental analysis of results of normal distributed points around the substitution circle through simulation, for different circle arc angles to the full circle and for the four mentioned fitting criteria. The results show the influence of arc angle in the variability of the results across criteria and the different behaviour depending on the arc amplitude. The results confirm the good stability and behaviour of least squares and minimum zone criteria, while warns the use of minimum circumscribed and maximum inscribed circles over half circumference. Experimental regression facilitates estimation of the minimum zone criteria from the least squares fitting that are independently verified with literature datasets with good results.
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Dissertations / Theses on the topic "Circle and point"

1

Zaeva, Maria. "Maximum likelihood estimators for circular structural model." Birmingham, Ala. : University of Alabama at Birmingham, 2009. https://www.mhsl.uab.edu/dt/2009m/zaeva.pdf.

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Thesis (M.S.)--University of Alabama at Birmingham, 2009.<br>Title from PDF title page (viewed Jan. 21, 2010). Additional advisors: Yulia Karpeshina, Ian Knowles, Rudi Weikard. Includes bibliographical references (p. 19).
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Krapp, James Joseph. ""At the Still Point of the Turning World": A Reference to Time and Movement." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/31690.

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A Clinic for the study of Sleep Disorders The proposal for a clinic for sleep disorders sited on the edge of Dupont Circle within the District of Columbia. This thesis is a reference to time and movement as it relates to our individual perception. We each experience our environments differently and architecture should be prescribed to the fit the needs of the individual. It is the study of design evolution along a time-line. The science of effect. As we move along a line how does our environment and influence shape the final outcome? In architecture, process is the task of understanding. The following documentation is my personal time-line along that undefined path.<br>Master of Architecture
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Prado, Gustavo de Lima. "Deformabilidade sobre S^1 a livre de ponto fixo para auto-aplicações de T-fibrados e Reidemeister sobre S^1." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-16022011-125114/.

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Classificação das auto-aplicações de fibrados, com fibra toro, que preservam fibra sobre o círculo, com a propriedade de poderem ser deformadas sobre o círculo a uma aplicação livre de ponto fixo. Ainda, investigamos a relação entre o número de Reidemeister sobre o círculo e a propriedade acima<br>Classification of all fiber-preserving self-maps of torus bundles over the circle by the property of being able to deform them over the circle into a fixed point free map by a fiberwise homotopy over the circle. We also investigate the relationship between Reidemeister number over the circle and the property above
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Nguyen, Thanh Phuong. "Etude des courbes discrètes : applications en analyse d'images." Thesis, Nancy 1, 2010. http://www.theses.fr/2010NAN10095/document.

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Dans cette thèse, nous nous intéressons à l'étude des courbes discrètes et ses applications en analyse d'images. Nous avons proposé une amélioration de l'estimation de courbure reposant sur le cercle circonscrit. Celle-ci repose sur la notion de segment flou maximal d'épaisseur [nu] et sur la décomposition d'une courbe discrète en sa séquence de segments flous maximaux. Par la suite, nousavons appliqué cette idée en 3D afin d'estimer la courbure et la torsion discrète en chaque point d'une courbe 3D. Au niveau de l'application, nous avons développé une méthode rapide et fiable pour détecter les points dominants dans une courbe 2D. Un point dominant est un point dont la courbure est localement maximale. Les points dominants jouent un rôle très important dans la reconnaissance de formes. Notre méthode utilise un paramètre qui est l'épaisseur des segments flous maximaux. Reposant sur cette nouvelle méthode de détection des points dominants, nous avons développé des méthodes sans paramètres de détection des points dominants. Celles-ci se basent sur une approche multi-épaisseur. D'autre part, nous nous intéressons particulièrement au cercles et arcs discrets. Une méthode linéaire a été développé pour reconnaître des cercles et arcs discrets. Puisnous avons fait évoluer cette méthode afin de travailler avec des courbes bruitées en utilisant une méthode de détection du bruit. Nous proposons aussi une mesure de circularité. Une méthode linéaire qui utilise cette mesure a été aussi développée pour mesurer la circularité des courbes fermées. Par ailleurs, nous avons proposé une méthode rapide pour décomposer des courbes discrètes en arcs et en segments de droite<br>In this thesis, we are interested in the study of discrete curves and its applications in image analysis. We have proposed an amelioration of curvature estimation based on circumcircle. This method is based on the notion of blurred segment of width [nu] and on the decomposition of a curve into the sequence of maximal blurred segment of width [nu]. Afterwards, we have applied this idea in 3D to estimate the discrete curvature and torsion at each point of a 3D curve. Concerning the applications, we have developed a rapid et reliable method to detect dominant points of a 2D curve. A dominant point is a point whose the curvature value is locally maximum. The dominant points play an important role in pattern recognition. Our method uses a parameter: the width of maximal blurred segments. Based on this novel method of dominant point detection, we proposed free-parameter methods for polygonal representation. They are based on a multi-width approach. Otherwise, we are interested in discrete arcs and circles. A linear method has been proposed for the recognition of arcs and circles. We then develop a new method for segmentation of noisy curves into arcs based on a method of noise detection. We also proposed a linear method to measure the circularity of closed curves. In addition, we have proposed a robust method to decompose a curve into arcs and line segments
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Nguyen, Thanh Phuong. "Etude des courbes discrètes : applications en analyse d'images." Electronic Thesis or Diss., Nancy 1, 2010. http://www.theses.fr/2010NAN10095.

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Dans cette thèse, nous nous intéressons à l'étude des courbes discrètes et ses applications en analyse d'images. Nous avons proposé une amélioration de l'estimation de courbure reposant sur le cercle circonscrit. Celle-ci repose sur la notion de segment flou maximal d'épaisseur [nu] et sur la décomposition d'une courbe discrète en sa séquence de segments flous maximaux. Par la suite, nousavons appliqué cette idée en 3D afin d'estimer la courbure et la torsion discrète en chaque point d'une courbe 3D. Au niveau de l'application, nous avons développé une méthode rapide et fiable pour détecter les points dominants dans une courbe 2D. Un point dominant est un point dont la courbure est localement maximale. Les points dominants jouent un rôle très important dans la reconnaissance de formes. Notre méthode utilise un paramètre qui est l'épaisseur des segments flous maximaux. Reposant sur cette nouvelle méthode de détection des points dominants, nous avons développé des méthodes sans paramètres de détection des points dominants. Celles-ci se basent sur une approche multi-épaisseur. D'autre part, nous nous intéressons particulièrement au cercles et arcs discrets. Une méthode linéaire a été développé pour reconnaître des cercles et arcs discrets. Puisnous avons fait évoluer cette méthode afin de travailler avec des courbes bruitées en utilisant une méthode de détection du bruit. Nous proposons aussi une mesure de circularité. Une méthode linéaire qui utilise cette mesure a été aussi développée pour mesurer la circularité des courbes fermées. Par ailleurs, nous avons proposé une méthode rapide pour décomposer des courbes discrètes en arcs et en segments de droite<br>In this thesis, we are interested in the study of discrete curves and its applications in image analysis. We have proposed an amelioration of curvature estimation based on circumcircle. This method is based on the notion of blurred segment of width [nu] and on the decomposition of a curve into the sequence of maximal blurred segment of width [nu]. Afterwards, we have applied this idea in 3D to estimate the discrete curvature and torsion at each point of a 3D curve. Concerning the applications, we have developed a rapid et reliable method to detect dominant points of a 2D curve. A dominant point is a point whose the curvature value is locally maximum. The dominant points play an important role in pattern recognition. Our method uses a parameter: the width of maximal blurred segments. Based on this novel method of dominant point detection, we proposed free-parameter methods for polygonal representation. They are based on a multi-width approach. Otherwise, we are interested in discrete arcs and circles. A linear method has been proposed for the recognition of arcs and circles. We then develop a new method for segmentation of noisy curves into arcs based on a method of noise detection. We also proposed a linear method to measure the circularity of closed curves. In addition, we have proposed a robust method to decompose a curve into arcs and line segments
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Chandrasena, Taniya Dilini. "Configuration Space of Points on a Circle." OpenSIUC, 2019. https://opensiuc.lib.siu.edu/theses/2583.

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It's very complicated to find out the analytical expression for every dynamical system. In that case it is possible to get an idea of the system if we know the configuration of the corresponding system. We can find the configuration space of any system if we can identify some points on it. Also we can express many spaces as a configuration space of a linkage.
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Nisbet, Kenneth Charles. "Dynamics of mappings of the plane and of the circle." Thesis, University of Edinburgh, 1989. http://hdl.handle.net/1842/15533.

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Rezende, Ana Claudya Botelho de. "Uma generalização da Circunferência dos Nove Pontos para a Educação Básica." reponame:Repositório Institucional da UFABC, 2017.

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Orientadora: Profa. Dra. Ana Carolina Boero<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2017.<br>Neste trabalho, mostraremos que dado um triângulo e três cevianas que se intersetam em um ponto P, existe uma cônica que passa pelos pontos médios dos lados, pelos pés das cevianas e pelos pontos médios dos segmentos que unem P aos vértices do triângulo. Antes de apresentá-lo, contudo, exploraremos a Reta de Euler, a Circunferência dos Nove Pontos e algumas de suas principais propriedades. Finalizaremos este trabalho com duas sugestões de atividades que permitirão ao aluno construir conceitos matemáticos de maneira informal, intuitiva e lúdica, despertando seu interesse por Geometria e pela Matemática em geral.<br>In this work, we will show that given a triangle and three cevians that intersect at a point P, there is a conic that passes through the midpoints of the sides, the feet of the cevians and the midpoints of the segments that join P to the vertices of the triangle. Before presenting it, however, we will explore the Euler Line, the Nine-Point Circle and some of its main properties. We will finish this work with two suggestions of activities that will allow the student to construct mathematical concepts in an informal, intuitive and playful way, arousing his interest in Geometry and Mathematics in general.
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Quellmalz, Michael. "A generalization of the Funk–Radon transform to circles passing through a fixed point." Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-192513.

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The Funk–Radon transform assigns to a function on the two-sphere its mean values along all great circles. We consider the following generalization: we replace the great circles by the small circles being the intersection of the sphere with planes containing a common point ζ inside the sphere. If ζ is the origin, this is just the classical Funk–Radon transform. We find two mappings from the sphere to itself that enable us to represent the generalized Radon transform in terms of the Funk–Radon transform. This representation is utilized to characterize the nullspace and range as well as to prove an inversion formula of the generalized Radon transform.
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Quellmalz, Michael. "A generalization of the Funk–Radon transform to circles passing through a fixed point." Technische Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20372.

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The Funk–Radon transform assigns to a function on the two-sphere its mean values along all great circles. We consider the following generalization: we replace the great circles by the small circles being the intersection of the sphere with planes containing a common point ζ inside the sphere. If ζ is the origin, this is just the classical Funk–Radon transform. We find two mappings from the sphere to itself that enable us to represent the generalized Radon transform in terms of the Funk–Radon transform. This representation is utilized to characterize the nullspace and range as well as to prove an inversion formula of the generalized Radon transform.
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Books on the topic "Circle and point"

1

Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7.

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Kamala, Ganesh, Thakkar Usha, Chadha Gita, et al., eds. Zero point Bombay: In & around Horniman circle. Lotus Collection, Roli Books, 2008.

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Bartis̆ek, Miroslav. The nonlinear limit-point/limit-circle problem. Birkhauser, 2003.

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1956-, Dos̆lá Zuzana, and Graef John R. 1942-, eds. The nonlinear limit-point/limit-circle problem. Birkhäuser, 2003.

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Nuʻmānī, Hudá. I was a point, I was a circle: An elegaic ode. Three Continents Press, 1993.

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Dupuis, N. F. Elementary synthetic geometry of the point, line and circle in the plane. MacMillan, 1986.

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Baltz, Lewis. Lewis Baltz: Vijf projecten = five projects : San Quentin Point, Continuous Fire Polar Circle, near Reno, Fos: Secteur 80, Candlestick Point : Stedelijk Museum, Amsterdam, 15 Februari - 5 April 1992. Stedelijk Museum, 1992.

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1921-, Josefowitz Samuel, and Rijksmuseum Vincent van Gogh, eds. The prints of the Pont-Aven School: Gauguin and his circle in Brittany. Smithsonian Institution Traveling Exhibition Service, 1986.

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Miller, Rex. Audel Automated Machines and Toolmaking. John Wiley & Sons, Ltd., 2004.

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Miller, Rex. Audel automated machines and toolmaking. 5th ed. Wiley, 2004.

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Book chapters on the topic "Circle and point"

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Weidmann, Joachim. "Limit point-limit circle criteria." In Spectral Theory of Ordinary Differential Operators. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0077969.

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Zettl, Anton. "The limit-point, limit-circle dichotomy." In Mathematical Surveys and Monographs. American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/121/07.

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Bottema, O., and Reinie Erne. "The Nine-Point Circle and Euler Line." In Topics in Elementary Geometry. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-78131-0_4.

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Nemeth, Elisabeth. "“Freeing up One's Point of View”: Neurath's Machian Heritage Compared with Schumpeter's." In Vienna Circle Institute Yearbook. Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-6905-5_2.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Origins of the Limit-Point/Limit-Circle Problem." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_1.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Some Early Limit-Point and Limit-Circle Results." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_4.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Basic Definitions." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_2.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Second Order Nonlinear Equations." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_3.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Relationship to Other Asymptotic Properties." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_5.

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Bartušek, Miroslav, Zuzana Došlá, and John R. Graef. "Third Order Differential Equations." In The Nonlinear Limit-Point/Limit-Circle Problem. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8218-7_6.

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Conference papers on the topic "Circle and point"

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Parmar, Shubh, Aayush Nayak, and Pragati Khare. "Refinement of the Existing Mid-Point Circle Generating Algorithm." In 2025 1st International Conference on AIML-Applications for Engineering & Technology (ICAET). IEEE, 2025. https://doi.org/10.1109/icaet63349.2025.10932192.

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Schmidt, Katharina, Bernadette Lechner, Simone Hageneder, et al. "Rolling circle amplification tailored for plasmonic biosensors." In Biophotonics in Point-of-Care II, edited by Michael T. Canva, Ambra Giannetti, Julien Moreau, and Hatice Altug. SPIE, 2022. http://dx.doi.org/10.1117/12.2621563.

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Pegna, Joseph, Chi Guo, and Thierry P. Hilaire. "Design of a Nanometric Position Sensor Based on Computational Metrology of the Circle." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0040.

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Abstract The work presented in this paper derives from the design of a position sensing interferometer, in which circular fringe patterns are automatically analyzed by a computer vision system. Central to this process is a circle fitting problem in the sense of least Linfinity norm, also known as Chebichev or MinMax fit. The problem at hand can be formulated as follows: Given a set of points in the plane, find the pair of concentric circles with minimum radial gap enclosing all the points. The solution to this problem is elegantly given by common computational geometry tools, indeed the center of such a circle is necessarily a vertex of the Nearest Point Voronoi Diagram (NVD), a vertex of the Farthest Point Voronoi Diagram (FVD), or an intersection of edges from both diagrams. An algorithm for determining the Chebichev circular fit is presented and illustrated on the basis of that observation. Applications and potential extensions of this method to soft gauging and image metrology will also be discussed.
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Brill, Michael H. "Direct linear transformation methods of triangulating from optical and SAR images." In OSA Annual Meeting. Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.fq9.

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Given an optical photograph with images of six control points (whose three-space coordinates are known), and the two image coordinates of an unknown ground point, it is possible to determine the equation of the line of sight from the camera station to the unknown point via a direct linear transformation (DLT) approach.1 To do this requires writing the projective equations for the control points in a form that is linear in the unknowns containing camera position, orientation, and (assumed affine) film distortions. These equations are written so each image coordinate of each control point appears in only one equation. The result is a linear system solvable for eleven camera variables, which can then be used with the unknown-point image coordinates to determine the line of sight. In the spotlight mode of synthetic-aperture radar (SAR), similar DLT equations are developed to determine the projection circle which is the intersection of the isorange sphere and iso-Doppler cone for a reflecting point. To avoid singularity, the Doppler equations are used to eliminate one image coordinate of each control point in the range equations, where that coordinate appears to the first power. The result is a linear system solvable for thirteen camera variables, which can then be used to determine the projection circle for an unknown ground point. Eight control points are needed for solution. Given optical and SAR images of a ground point, it is now possible to triangulate by intersecting two optical lines of sight, two SAR projection circles, or a line of sight and a projection circle, depending on the available imagery.
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Wu, Lingwei, Yun Ling, Anshu Yang, and Shuixing Wang. "Detection DNA Point Mutation with Rolling-Circle Amplification Chip." In 2010 4th International Conference on Bioinformatics and Biomedical Engineering (iCBBE). IEEE, 2010. http://dx.doi.org/10.1109/icbbe.2010.5518059.

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Zhang, Hailiang, Jun Qi, Steve Watchorn, et al. "Novel switchable circle-to-point converter for lidar detection." In Optical Technologies for Industrial, Environmental, and Biological Sensing, edited by Tuan Vo-Dinh, Guenter Gauglitz, Robert A. Lieberman, Klaus P. Schaefer, and Dennis K. Killinger. SPIE, 2004. http://dx.doi.org/10.1117/12.514490.

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Zhou, Jianhua, Tingting Xia, Mian Li, and Min Xu. "A Normalized Circle Intersection Method for Bi-Objective Optimization Programming." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68101.

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Multi-objective optimization (MOO) problems are encountered in many applications and a number of approaches have been proposed to deal with this kind of problems. Despite the computational efforts, the quality of the Pareto front is also a considerable issue. An evenly distributed Pareto front is desirable for developing analytical expressions. In this paper, a brand new approach called Normalized Circle Intersection (NCI) is proposed, which is able to efficiently generate a Pareto front with evenly-distributed Pareto points for bi-objective problems, no matter the feasible boundary is convex or not. Firstly, the anchor points are computed using an existing sequential MOO (SMOO) approach. Then in the normalized objective space, a circle with a radius of r centering at one of the anchor points or the latest obtained Pareto point is drawn. The intersection of the circle and the feasible boundary, which exists for sure, can be determined whether it is a Pareto point or not. For a convex or concave feasible boundary, the intersection is exactly the Pareto point to be found, while for a non-convex boundary the intersection can provide useful information for searching the true Pareto point even if it self is not a Pareto point. A novel MOO formulation is proposed for NCI correspondingly. Four examples, including two numerical and two engineering examples, are provided to demonstrate the applicability of the proposed method. Comparison of the computational results with WS, NNC and SMOO shows the effectiveness of the proposed method.
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Angeles, Jorge, and Shaoping Bai. "Some Special Cases of the Burmester Problem for Four and Five Poses." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84871.

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The Burmester problem aims at finding the geometric parameters of a planar four-bar linkage for a prescribed set of finitely separated poses. The synthesis related to the Burmester problem deals with both revolute-revolute (RR) and prismatic-revolute (PR) dyads. A PR dyad is a special case of RR dyad, i.e., a dyad with one end-point at infinity. The special nature of PR dyads warrants a special treatment, outside of the general methods of four-bar linkage synthesis, which target mainly RR dyads. In this paper, we study the synthesis of planar four-bar linkages addressing the problem of the determination of PR dyads. The conditions for the presence of PR dyads with the prescribed poses are derived. A synthesis method is developed by resorting to the parallelism condition of the displacement vectors of the circle points of PR dyads. We show that the “circle” point of a PR dyad can be determined as one common intersection of three or four circles, depending on whether four or, correspondingly, five poses are prescribed.
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Grohmann, Andrew J., and Jim T. Kaculi. "Beyond the Watch Circle Wellhead System Global Weak Point Analysis." In Offshore Technology Conference. Offshore Technology Conference, 2015. http://dx.doi.org/10.4043/25758-ms.

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Guodong Chen, Junhong Ji, and Lining Sun. "A novel circle detector based on sub-image point pairs." In 2008 International Conference on Information and Automation (ICIA). IEEE, 2008. http://dx.doi.org/10.1109/icinfa.2008.4608081.

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Reports on the topic "Circle and point"

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Bown, Chad, and Douglas Irwin. The GATT's Starting Point: Tariff Levels circa 1947. National Bureau of Economic Research, 2015. http://dx.doi.org/10.3386/w21782.

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Morris, Heidi E. Calculation of Latitude and Longitude for Points on Perimeter of a Circle on a Sphere. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1211582.

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Ñopo, Hugo R., and Alejandro Hoyos. Evolution of Gender Gaps in Latin America at the Turn of the Twentieth Century: An Addendum to "New Century, Old Disparities". Inter-American Development Bank, 2010. http://dx.doi.org/10.18235/0010937.

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This paper complements the findings of Atal, Ñopo and Winder (2009) on gender and ethnic wage gaps for 18 Latin American countries circa 2005 by analyzing gender wage gaps for the same countries between circa 1992 and circa 2007. During this span the overall gender earnings gaps dropped about 7 percentage points, while the unexplained component dropped between 3 and 4 percentage points, depending on the control variables used. The gap declined most notably among workers at the bottom of the earnings distribution, with children at home, the self-employed, part-time workers and those in rural areasthe segments of the labor market that were previously reported as having the highest unexplained gender disparities. Most of the reduction in unexplained gaps occurred within segments rather than due to the composition of labor markets. The paper additionally finds a limited role for job tenure in explaining gender wage gaps.
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Story, Madison, Kayley Schacht, Aaron Schmidt, et al. The Black experience at Fort Huachuca during WWII : an interpretation and exhibit plan for the Mountain View Officers’ Club. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48076.

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This technical report serves as a contextual planning document for an interpretive exhibit within and surrounding the Mountain View Officers’ Club, Building 66050, at Fort Huachuca, Arizona. During World War II (WWII), the Mountain View Officers’ Club served as the installation’s Black officers’ club. It served as various other uses until circa 1998, at which point it became vacant. Today, Fort Huachuca is planning to rehabilitate the building into a mission use space with an indoor-outdoor exhibit space for visitor use within the rehabilitation plan footprint, an 8.15 acre Area of Potential Effect (APE) including the WWII building and associated adjacent features. This report provides numerous potential Courses of Action regarding methods of exhibiting and interpreting historic materials and information in the public spaces within the APE. The Courses of Action chosen during a future Design-Build phase will be based on factors currently unknown, such as funding and staffing; thus, this document serves as a Phase I concept plan for ideas that will be further developed and finalized during the Phase II Design-Build phase. This report also provides guidance for course of action implementation pending factors currently unknown. Fort Huachuca will keep this report in both digital and analog format in perpetuity. ERDC-CERL will also publish it online and make it available to the public free of cost.
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Breman, Carlotta, and Servaas Storm. Betting on black gold: Oil speculation and U.S. inflation (2020-2022). Institute for New Economic Thinking Working Paper Series, 2023. http://dx.doi.org/10.36687/inetwp208.

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Sharp increases in systemically important crude oil prices have been a major cause of the recent surge in the inflation rate in the U.S. This paper investigates the extent to which the increase in oil prices can be attributed to excessive speculation in the oil futures market. Our analysis suggests that excessive speculation in the crude oil market has been responsible for 24%-48% of the increase in the WTI crude oil price during October 2020-June 2022. These estimates translate into an oil price increase of around $18-$36 per barrel and an increase in the U.S. PCE inflation rate by circa 0.75 to 1.5 percentage points during the same period. We complement the analysis with an empirical investigation of the crude oil market which shows that (speculative) long non-commercial open-interest positions in oil futures have increased considerably relative to short non-commercial positions. We further find that higher futures prices for crude oil ‘Granger-cause’ oil spot prices, the futures prices of corn and soybeans and the fertilizer price. These econometric results show that oil speculators have to be held accountable for not just raising oil prices, but also driving up food commodity prices. We finally discuss measures to clamp down on excessive speculation in oil in order to eliminate its systemically adverse consequences for the U.S. economy.
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Crispin, Darla. Artistic Research as a Process of Unfolding. Norges Musikkhøgskole, 2018. http://dx.doi.org/10.22501/nmh-ar.503395.

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As artistic research work in various disciplines and national contexts continues to develop, the diversity of approaches to the field becomes ever more apparent. This is to be welcomed, because it keeps alive ideas of plurality and complexity at a particular time in history when the gross oversimplifications and obfuscations of political discourses are compromising the nature of language itself, leading to what several commentators have already called ‘a post-truth’ world. In this brutal environment where ‘information’ is uncoupled from reality and validated only by how loudly and often it is voiced, the artist researcher has a responsibility that goes beyond the confines of our discipline to articulate the truth-content of his or her artistic practice. To do this, they must embrace daring and risk-taking, finding ways of communicating that flow against the current norms. In artistic research, the empathic communication of information and experience – and not merely the ‘verbally empathic’ – is a sign of research transferability, a marker for research content. But this, in some circles, is still a heretical point of view. Research, in its more traditional manifestations mistrusts empathy and individually-incarnated human experience; the researcher, although a sentient being in the world, is expected to behave dispassionately in their professional discourse, and with a distrust for insights that come primarily from instinct. For the construction of empathic systems in which to study and research, our structures still need to change. So, we need to work toward a new world (one that is still not our idea), a world that is symptomatic of what we might like artistic research to be. Risk is one of the elements that helps us to make the conceptual twist that turns subjective, reflexive experience into transpersonal, empathic communication and/or scientifically-viable modes of exchange. It gives us something to work with in engaging with debates because it means that something is at stake. To propose a space where such risks may be taken, I shall revisit Gillian Rose’s metaphor of ‘the fold’ that I analysed in the first Symposium presented by the Arne Nordheim Centre for Artistic Research (NordART) at the Norwegian Academy of Music in November 2015. I shall deepen the exploration of the process of ‘unfolding’, elaborating on my belief in its appropriateness for artistic research work; I shall further suggest that Rose’s metaphor provides a way to bridge some of the gaps of understanding that have already developed between those undertaking artistic research and those working in the more established music disciplines.
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The sensitivity of three-point circle fitting. National Institute of Standards and Technology, 1994. http://dx.doi.org/10.6028/nist.ir.5501.

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Surficial geology, Dendale Lake, Yukon-Northwest Territories, NTS 95-C/15. Natural Resources Canada/CMSS/Information Management, 2023. http://dx.doi.org/10.4095/331886.

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This map area is situated within the Hyland Plateau and comprises the headwaters of the La Biche River. It is framed by the La Biche Range on the east, the Tlogotsho Range on the north, and an unnamed ridge along its western boundary. The map area was inundated by the Cordilleran Ice Sheet during the Late Wisconsinan glaciation, and ice advanced east to northeast across the region. Coalescence with the Laurentide Ice Sheet is considered to have occurred just east and north of this area. During deglaciation, ice retreated generally south and westwards. Prominent northward-aggrading ice-contact and proglacial deltas formed between retreating Cordilleran and Laurentide ice margins, within early stages of glacial Lake Nahanni. Well-developed cirque basins point to a prolonged glacial history that predates the Late Wisconsinan glaciation. Small lobate moraines extending into valley bottoms below these cirques suggests that during regional Late Wisconsinan deglaciation, upland ice persisted through a phase of late glacial-early Holocene alpine cirque glaciation.
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Payment Systems Report - June of 2021. Banco de la República, 2022. http://dx.doi.org/10.32468/rept-sist-pag.eng.2021.

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Banco de la República provides a comprehensive overview of Colombia’s finan¬cial infrastructure in its Payment Systems Report, which is an important product of the work it does to oversee that infrastructure. The figures published in this edition of the report are for the year 2020, a pandemic period in which the con¬tainment measures designed and adopted to alleviate the strain on the health system led to a sharp reduction in economic activity and consumption in Colom¬bia, as was the case in most countries. At the start of the pandemic, the Board of Directors of Banco de la República adopted decisions that were necessary to supply the market with ample liquid¬ity in pesos and US dollars to guarantee market stability, protect the payment system and preserve the supply of credit. The pronounced growth in mone¬tary aggregates reflected an increased preference for liquidity, which Banco de la República addressed at the right time. These decisions were implemented through operations that were cleared and settled via the financial infrastructure. The second section of this report, following the introduction, offers an analysis of how the various financial infrastructures in Colombia have evolved and per¬formed. One of the highlights is the large-value payment system (CUD), which registered more momentum in 2020 than during the previous year, mainly be¬cause of an increase in average daily remunerated deposits made with Banco de la República by the General Directorate of Public Credit and the National Treasury (DGCPTN), as well as more activity in the sell/buy-back market with sovereign debt. Consequently, with more activity in the CUD, the Central Securi¬ties Depository (DCV) experienced an added impetus sparked by an increase in the money market for bonds and securities placed on the primary market by the national government. The value of operations cleared and settled through the Colombian Central Counterparty (CRCC) continues to grow, propelled largely by peso/dollar non-deliverable forward (NDF) contracts. With respect to the CRCC, it is important to note this clearing house has been in charge of managing risks and clearing and settling operations in the peso/dollar spot market since the end of last year, following its merger with the Foreign Exchange Clearing House of Colombia (CCDC). Since the final quarter of 2020, the CRCC has also been re¬sponsible for clearing and settlement in the equities market, which was former¬ly done by the Colombian Stock Exchange (BVC). The third section of this report provides an all-inclusive view of payments in the market for goods and services; namely, transactions carried out by members of the public and non-financial institutions. During the pandemic, inter- and intra-bank electronic funds transfers, which originate mostly with companies, increased in both the number and value of transactions with respect to 2019. However, debit and credit card payments, which are made largely by private citizens, declined compared to 2019. The incidence of payment by check contin¬ue to drop, exhibiting quite a pronounced downward trend during the past last year. To supplement to the information on electronic funds transfers, section three includes a segment (Box 4) characterizing the population with savings and checking accounts, based on data from a survey by Banco de la República con-cerning the perception of the use of payment instruments in 2019. There also is segment (Box 2) on the growth in transactions with a mobile wallet provided by a company specialized in electronic deposits and payments (Sedpe). It shows the number of users and the value of their transactions have increased since the wallet was introduced in late 2017, particularly during the pandemic. In addition, there is a diagnosis of the effects of the pandemic on the payment patterns of the population, based on data related to the use of cash in circu¬lation, payments with electronic instruments, and consumption and consumer confidence. The conclusion is that the collapse in the consumer confidence in¬dex and the drop in private consumption led to changes in the public’s pay¬ment patterns. Credit and debit card purchases were down, while payments for goods and services through electronic funds transfers increased. These findings, coupled with the considerable increase in cash in circulation, might indicate a possible precautionary cash hoarding by individuals and more use of cash as a payment instrument. There is also a segment (in Focus 3) on the major changes introduced in regulations on the retail-value payment system in Colombia, as provided for in Decree 1692 of December 2020. The fourth section of this report refers to the important innovations and tech¬nological changes that have occurred in the retail-value payment system. Four themes are highlighted in this respect. The first is a key point in building the financial infrastructure for instant payments. It involves of the design and im¬plementation of overlay schemes, a technological development that allows the various participants in the payment chain to communicate openly. The result is a high degree of interoperability among the different payment service providers. The second topic explores developments in the international debate on central bank digital currency (CBDC). The purpose is to understand how it could impact the retail-value payment system and the use of cash if it were to be issued. The third topic is related to new forms of payment initiation, such as QR codes, bio¬metrics or near field communication (NFC) technology. These seemingly small changes can have a major impact on the user’s experience with the retail-value payment system. The fourth theme is the growth in payments via mobile tele¬phone and the internet. The report ends in section five with a review of two papers on applied research done at Banco de la República in 2020. The first analyzes the extent of the CRCC’s capital, acknowledging the relevant role this infrastructure has acquired in pro¬viding clearing and settlement services for various financial markets in Colom¬bia. The capital requirements defined for central counterparties in some jurisdic¬tions are explored, and the risks to be hedged are identified from the standpoint of the service these type of institutions offer to the market and those associated with their corporate activity. The CRCC’s capital levels are analyzed in light of what has been observed in the European Union’s regulations, and the conclusion is that the CRCC has a scheme of security rings very similar to those applied internationally and the extent of its capital exceeds what is stipulated in Colombian regulations, being sufficient to hedge other risks. The second study presents an algorithm used to identify and quantify the liquidity sources that CUD’s participants use under normal conditions to meet their daily obligations in the local financial market. This algorithm can be used as a tool to monitor intraday liquidity. Leonardo Villar Gómez Governor
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