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2. Power of a point - Wikipedia

   en.wikipedia.org/wiki/Power_of_a_point

   Steiner used the power of a point for proofs of several statements on circles, for example: Determination of a circle, that intersects four circles by the same angle. [2] Solving the Problem of Apollonius; Construction of the Malfatti circles: [3] For a given triangle determine three circles, which touch each other and two sides of the triangle ...

3. List of mathematical proofs - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_proofs

   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

4. Five points determine a conic - Wikipedia

   en.wikipedia.org/wiki/Five_points_determine_a_conic

   In Euclidean and projective geometry, five points determine a conic (a degree-2 plane curve), just as two (distinct) points determine a line (a degree-1 plane curve).There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines.

5. Desargues's theorem - Wikipedia

   en.wikipedia.org/wiki/Desargues's_theorem

   The last step of the proof fails if the projective space has dimension less than 3, as in this case it is not possible to find a point not in the plane. Monge's theorem also asserts that three points lie on a line, and has a proof using the same idea of considering it in three rather than two dimensions and writing the line as an intersection ...

6. Category:Theorems in plane geometry - Wikipedia

   en.wikipedia.org/wiki/Category:Theorems_in_plane...

   Download as PDF; Printable version; In other projects ... Pages in category "Theorems in plane geometry" ... Garfield's proof of the Pythagorean theorem; H.

7. Proof without words - Wikipedia

   en.wikipedia.org/wiki/Proof_without_words

   Proof without words of the Nicomachus theorem (Gulley (2010)) that the sum of the first n cubes is the square of the n th triangular number. In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident by a diagram without any accompanying explanatory text.