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Longer titles found: 2022 California Proposition 31 (view), 2012 California Proposition 31 (view)

searching for Proposition 31 8 found (17 total)

Fundamental theorem of arithmetic (3,201 words) [view diff] exact match in snippet view article find links to article

Elements Book VII, Proposition 31 (In modern terminology: every integer greater than one is divided evenly by some prime number.) Proposition 31 is proved directly

Proof by infinite descent (2,224 words) [view diff] exact match in snippet view article find links to article

infinite descent appear in Euclid's Elements. A typical example is Proposition 31 of Book 7, in which Euclid proves that every composite integer is divided

Absolute geometry (1,109 words) [view diff] exact match in snippet view article find links to article

are used instead. In Euclid's Elements, the first 28 Propositions and Proposition 31 avoid using the parallel postulate, and therefore are valid in absolute

Thales's theorem (1,952 words) [view diff] exact match in snippet view article find links to article

The theorem appears in Book III of Euclid's Elements (c. 300 BC) as proposition 31: "In a circle the angle in the semicircle is right, that in a greater

Steven Maviglio (1,341 words) [view diff] exact match in snippet view article find links to article

23% margin during the statewide election. Maviglio opposed California Proposition 31, an initiative that would have established a two-year budget cycle for

Arbelos (1,047 words) [view diff] exact match in snippet view article find links to article

the semicircle, has a right angle at the point H (Euclid, Book III, Proposition 31), and consequently |HA| is indeed a "mean proportional" between |BA|

Playfair's axiom (1,594 words) [view diff] exact match in snippet view article find links to article

clearly makes the statement in his commentary on Euclid I.31 (Book I, Proposition 31). In 1785 William Ludlam expressed the parallel axiom as follows: Two

Project Mathematics! (2,228 words) [view diff] exact match in snippet view article find links to article

the hypotenuse is cut into pieces to fit into the other two squares. Proposition 31 in book 6 of Euclid's Elements describes the similarity proof, which