Ad
related to: circle theorems proof maths genie game free
Search results
Results From The WOW.Com Content Network
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: When circle () degenerates into a point, the Eight circles theorem degenerates into Brianchon's theorem [7] [9]. When circle () degenerates into a point and moves to infinity, the dual ...
Sion's minimax theorem (game theory) Sipser–Lautemann theorem (probabilistic complexity theory) (structural complexity theory) Siu's semicontinuity theorem (complex analysis) Six circles theorem ; Six exponentials theorem (transcendental number theory) Sklar's theorem ; Skoda–El Mir theorem (complex geometry)
eyeball theorem, red chords are of equal length theorem variation, blue chords are of equal length. The eyeball theorem is a statement in elementary geometry about a property of a pair of disjoined circles. More precisely it states the following: [1]
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.
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Pages for logged out editors learn more
Conway's circle theorem as a special case of the generalisation, called "side divider theorem" (Villiers) or "windscreen wiper theorem" (Polster)) Conway's circle is a special case of a more general circle for a triangle that can be obtained as follows: Given any ABC with an arbitrary point P on line AB.
Pascal's original note [1] has no proof, but there are various modern proofs of the theorem. It is sufficient to prove the theorem when the conic is a circle, because any (non-degenerate) conic can be reduced to a circle by a projective transformation. This was realised by Pascal, whose first lemma states the theorem for a circle.
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 ...