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Lefschetz theorem on (1,1)-classes (algebraic geometry) Lehmann–Scheffé theorem ; Leray's theorem (algebraic geometry) Leray–Hirsch theorem (algebraic topology) Lerner symmetry theorem ; Lester's theorem (Euclidean plane geometry) Levi's theorem ; Levitzky's theorem (ring theory) Lévy continuity theorem (probability)
Cayley–Bacharach theorem; Chasles–Cayley–Brill formula; Chasles' theorem (geometry) Chevalley–Iwahori–Nagata theorem; Chevalley's structure theorem; Chow's lemma; Chow's moving lemma; Clifford's theorem on special divisors
In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]
Theorems in differential geometry (1 C, 44 P) ... Mostow rigidity theorem; Murakami–Yano formula; N. Niven's theorem; Non-squeezing theorem; P. Pappus's centroid ...
Absolute geometry is a geometry based on an axiom system consisting of all the axioms giving Euclidean geometry except for the parallel postulate or any of its alternatives. [69] The term was introduced by János Bolyai in 1832. [70] It is sometimes referred to as neutral geometry, [71] as it is neutral with respect to the parallel postulate.
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle ) is equal to the sum of the areas of the squares on the other two sides.
Let wff stand for a well-formed formula (or syntactically correct first-order formula) in Tarski's system. Tarski and Givant (1999: 175) proved that Tarski's system is: Consistent: There is no wff such that it and its negation can both be proven from the axioms; Complete: Every wff or its negation is a theorem provable from the axioms;
Ptolemy's Theorem yields as a corollary a pretty theorem [2] regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the circle. The distance from the point to the most distant vertex of the triangle is the sum of the distances from the point to the two nearer vertices.
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