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Fermat's little theorem and some proofs; Gödel's completeness theorem and its original proof; Mathematical induction and a proof; Proof that 0.999... equals 1; Proof that 22/7 exceeds π; Proof that e is irrational; Proof that π is irrational; Proof that the sum of the reciprocals of the primes diverges
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 ...
Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... Clifford's circle theorems; Constant chord theorem; D.
Five circles theorem ; Five color theorem (graph theory) Fixed-point theorems in infinite-dimensional spaces; Floquet's theorem (differential equations) Fluctuation dissipation theorem ; Fluctuation theorem (statistical mechanics) Ford's theorem (number theory) Focal subgroup theorem (abstract algebra) Folk theorem (game theory)
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 proofs of the Kronecker–Weber theorem by Kronecker (1853) and Weber (1886) both had gaps. The first complete proof was given by Hilbert in 1896. In 1879, Alfred Kempe published a purported proof of the four color theorem, whose validity as a proof was accepted for eleven years before it was refuted by Percy Heawood.
This is known as the six circles theorem. [10] It is also known as the four circles theorem and while generally attributed to Jakob Steiner the only known published proof was given by Miquel. [11] David G. Wells refers to this as Miquel's theorem. [12]
A short elementary proof of Pascal's theorem in the case of a circle was found by van Yzeren (1993), based on the proof in (Guggenheimer 1967). This proof proves the theorem for circle and then generalizes it to conics. A short elementary computational proof in the case of the real projective plane was found by Stefanovic (2010).