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{{short description|Concurrency of lines connecting to certain circles associated with an arbitrary triangle}} ...tension from a circle to a conic having center: The creative method of new theorems], International Journal of Computer Discovered Mathematics, pp.21-32.</ref> ...

...a statement in elementary geometry about a property of a pair of disjoined circles. :''For two nonintersecting circles <math>c_P</math> and <math>c_Q</math>centered at <math>P</math> and <math>Q ...

{{short description|On rays from a point to a line, with equal inscribed circles between adjacent rays}} [[Image:Incircles.JPG|thumb|360px|If the blue circles are equal, the green circles are also equal.]] ...

{{Short description|Theorem about circles through lattice points}} ...circles generated by Schinzel's construction are not the smallest possible circles passing through the given number of integer points,{{r|mathworld}} but they ...

{{short description|Invariant cord in one of two intersecting circles based on any point in the other}} The '''constant chord theorem''' is a statement in elementary [[geometry]] about a property of certain [[Chord (geometry)|chords]] in two intersecting [[cir ...

{{short description|About a common point of certain circles defined by an arbitrary triangle}} ...,C^*</math>, respectively. The theorem says that these three '''Musselman circles''' meet in a point <math>M</math>, that is the [[circle inversion|inverse]] ...

[[Category:Theorems about triangles and circles]] [[Category:Theorems about equilateral triangles]] ...

...theorem about two intersecting lines and a circle - the [[Power_of_a_point#Theorems|power of point theorem]]. [[Category:Theorems about circles]] ...

...iculum/Geometry/NewtonTheorem.shtml#explanation ''Newton’s and Léon Anne’s Theorems''] at cut-the-knot.org [[Category:Theorems about quadrilaterals and circles]] ...

{{short description|Concerns 3 circles through triples of points on the vertices and sides of a triangle}} [[File:Miquel Circles.svg|frame|A diagram showing circles passing through the vertices of a triangle ''ABC'' and points ''A´'', ''B´' ...

...convex]] [[quadrilateral]] for which all four sides are [[Tangent lines to circles|tangent]] to the same [[inscribed circle]]. Pitot's theorem states that, fo [[Category:Theorems about quadrilaterals and circles]] ...

[[Category:Theorems about triangles and circles]] ...

In 1891 Cox published a chain of theorems in Euclidean geometry of three dimensions: ...ar=1891|title=Application of Grassmann's Ausdehnungslehre to properties of circles|journal=[[The Quarterly Journal of Pure and Applied Mathematics]]|volume=25 ...

In [[Euclidean geometry]], the '''bundle theorem''' is a statement about six circles and eight points in the Euclidean plane. In general [[incidence geometry]], ...bsp;63.</ref> In the classical case the plane model is the geometry of the circles and lines (where each line is completed by a point at infinity). The bundle ...

...theorem represents one of the three basic cases of a more general theorem about two intersecting lines and a circle, namely, the [[Power of a point|power o [[Category:Theorems about circles]] ...

...es that do not divide the area equally, such as circles that are not great circles, may have no inflection points at all.{{r|digits}} ==Related theorems== ...

...d excircles of a triangle|incircle]] (dashed gray), and the centre of both circles (white); solid and dashed [[Line segment|line segments]] of the same colour ...'b'' and ''c''. Since the (extended) triangle sides are [[Tangent lines to circles|tangents]] of the incircle it follows that ''IF_a'', ''IF<sub>b</ ...

...theorem about two intersecting lines and a circle - the [[Power_of_a_point#Theorems|power of point theorem]]. [[Category:Theorems about circles]] ...

[[Category:Theorems in differential geometry]] [[Category:Theorems about circles]] ...

[[Category:Theorems about triangles and circles]] ...