Useful english dictionary. 2012.
Euclid's axiom — noun (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry • Syn: ↑Euclid s postulate, ↑Euclidean axiom • Topics: ↑mathematics, ↑math, ↑maths … Useful english dictionary
Euclid's fifth axiom — noun only one line can be drawn through a point parallel to another line • Syn: ↑parallel axiom • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom … Useful english dictionary
Euclid's first axiom — noun a straight line can be drawn between any two points • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom … Useful english dictionary
Euclid's fourth axiom — noun all right angles are equal • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom … Useful english dictionary
Euclid's second axiom — noun any terminated straight line can be projected indefinitely • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom … Useful english dictionary
Euclid's third axiom — noun a circle with any radius can be drawn around any point • Hypernyms: ↑Euclid s axiom, ↑Euclid s postulate, ↑Euclidean axiom … Useful english dictionary
Euclid's Elements — (Greek: polytonic|Στοιχεῖα) is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions… … Wikipedia
Euclid — Fantasieporträt der frühen Neuzeit Euklid von Alexandria (griechisch Εὐκλείδης Eukleidēs; latinisiert Euclides; ca. 360 v. Chr. bis ca. 28 … Deutsch Wikipedia
Parallel postulate — In geometry, the parallel postulate, also called Euclid s fifth postulate since it is the fifth postulate in Euclid s Elements , is a distinctive axiom in what is now called Euclidean geometry. It states that: If a line segment intersects two… … Wikipedia
Schopenhauer's criticism of the proofs of the parallel postulate — Arthur Schopenhauer criticized mathematicians attempts to prove Euclid s Parallel Postulate because they try to prove from indirect concepts that which is directly evident from perception. Throughout his writings [ I wanted in this way to stress… … Wikipedia
