Search results
Results From The WOW.Com Content Network
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems , and play an important role in many geometrical constructions and proofs .
In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.
The Eight circles theorem and its dual can degenerate into Brianchon's theorem and Pascal's theorem when the conic in these theorems is a circle. Specifically: Specifically: When circle ( B ) {\displaystyle (B)} degenerates into a point, the Eight circles theorem degenerates into Brianchon's theorem [ 7 ] [ 9 ] .
Circle theorem may refer to: Any of many theorems related to the circle; often taught as a group in GCSE mathematics. These include: Inscribed angle theorem. Thales' theorem, if A, B and C are points on a circle where the line AC is a diameter of the circle, then the angle ∠ABC is a right angle. Alternate segment theorem. Ptolemy's theorem.
The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.
Colin Beveridge: Conway’s Circle, a proof without words. The Aperiodical, 07 May 2020; Colin Beveridge, Elizabeth A. Williams: Conway’s Circle Theorem: a proof, this time with words. The Aperiodical, 11 June 2020 (Video, 9:12 min.) De Villiers, Michael. "Conway's Circle Theorem as special case of Side Divider (Windscreen Wiper) Theorem".
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more
The second theorem considers five circles in general position passing through a single point M. Each subset of four circles defines a new point P according to the first theorem. Then these five points all lie on a single circle C. The third theorem considers six circles in general position that pass through a single point M. Each subset of five ...