to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship... 44 KB (4,312 words) - 03:57, 25 April 2024 |
Parallel postulate (redirect from Euclid's fifth postulate) the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's Elements, is a distinctive axiom in Euclidean... 25 KB (3,235 words) - 11:47, 21 December 2023 |
Proclus (section Commentary on Euclid's Elements) Commentary on the First Book of Euclid's "Elements" Proclus (1970). A Commentary on the First Book of Euclid's Elements. Princeton, N.J.: Princeton University... 28 KB (3,237 words) - 15:28, 21 March 2024 |
Euclidean geometry (redirect from Euclid's postulates) attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small... 59 KB (7,077 words) - 20:19, 5 April 2024 |
Henry Billingsley (section Euclid's Elements (1570)) notes on Euclid's Elements, which he had with great pains drawn up and digested. Afterwards our author Billingsley translated the said Elements into English... 67 KB (8,697 words) - 03:16, 26 March 2024 |
Pythagorean theorem (redirect from 47th Problem of Euclid) Conceptual Development. Kluwer. ISBN 0-7923-5972-0. Euclid (1956). The Thirteen Books of Euclid's Elements, Translated from the Text of Heiberg, with Introduction... 92 KB (12,548 words) - 05:59, 17 April 2024 |
Proof by contradiction (section Euclid's Elements) g_{k}} and derived a contradiction. Euclid's theorem states that there are infinitely many primes. In Euclid's Elements the theorem is stated in Book IX... 19 KB (2,491 words) - 19:52, 2 April 2024 |
algebra and number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's lemma — If a prime p divides... 14 KB (1,738 words) - 09:46, 13 March 2024 |
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proven by Euclid... 20 KB (3,073 words) - 11:39, 4 April 2024 |
Pons asinorum (section Euclid and Proclus) also equal. Euclid's proof involves drawing auxiliary lines to these extensions. But, as Euclid's commentator Proclus points out, Euclid never uses the... 17 KB (2,229 words) - 18:26, 29 February 2024 |
Method of exhaustion (section Euclid) "Euclid's Elements, Book XII, Proposition 2". aleph0.clarku.edu. "Euclid's Elements, Book XII, Proposition 5". aleph0.clarku.edu. "Euclid's Elements,... 7 KB (902 words) - 20:57, 11 January 2024 |
Foundations of geometry (section Euclid's Elements) mathematician Euclid, which he described (although non-rigorously by modern standards) in his textbook on geometry: the Elements. Euclid's method consists... 76 KB (10,876 words) - 17:07, 31 March 2023 |
Treatise (section Euclid's Elements) received their training from Euclid's students and his Elements and were able to solve many open problems at the time of Euclid. It is a prime example of... 11 KB (985 words) - 22:03, 18 January 2024 |
History of algebra (section Elements) written—the Elements (Stoichia) of Euclid. Considering the fame of the author and of his best seller, remarkably little is known of Euclid's life. So obscure... 120 KB (16,877 words) - 16:13, 12 April 2024 |
Mathematics: From Thales to Euclid. New York: Dover Publications. p. 1. ISBN 978-0-486-24073-2. Mueller, I. (1969). "Euclid's Elements and the Axiomatic Method"... 167 KB (16,258 words) - 04:40, 30 April 2024 |
arithmetic can also be proved without using Euclid's lemma. The proof that follows is inspired by Euclid's original version of the Euclidean algorithm... 22 KB (3,201 words) - 16:01, 8 March 2024 |
an integral Euclid's Elements, a mathematical treatise on geometry and number theory An entry, or element, of a matrix. Classical elements, ancient beliefs... 6 KB (673 words) - 16:47, 8 February 2024 |
Right angle (section Euclid) alternative symbol for a right angle. Right angles are fundamental in Euclid's Elements. They are defined in Book 1, definition 10, which also defines perpendicular... 7 KB (839 words) - 04:50, 10 April 2024 |
depends upon Euclid's parallel postulate will be referred to as the "High school exterior angle theorem" (HSEAT) to distinguish it from Euclid's exterior... 8 KB (1,116 words) - 09:14, 16 November 2022 |
by Proclus (AD 412 to 485) in his commentary on the first book of Euclid's Elements: one pair of parallel sides – a trapezium (τραπέζιον), divided into... 25 KB (3,053 words) - 18:41, 30 March 2024 |
Thomas Heath (classicist) (category Euclid) of Euclid's Elements (Cambridge: Cambridge University Press, 1908) Aristarchus of Samos, the Ancient Copernicus Oxford: Clarendon Press, 1913) Euclid in... 11 KB (1,035 words) - 05:22, 6 April 2024 |
Ratio (section Euclid's definitions) until the 16th century. Book V of Euclid's Elements has 18 definitions, all of which relate to ratios. In addition, Euclid uses ideas that were in such common... 24 KB (3,684 words) - 15:14, 31 March 2024 |
Hypsicles (section Euclid's Elements) of Euclid, we do not know." Hypsicles letter was a preface of the supplement taken from Euclid's Book XIV, part of the thirteen books of Euclid's Elements... 9 KB (1,116 words) - 20:32, 12 March 2024 |
1–241. ISBN 978-0-04-946007-2. Retrieved 2020-01-09. Euclid (2008) [c. 300 BC]. Euclid's Elements of Geometry (PDF). Translated by Fitzpatrick, Richard... 53 KB (5,984 words) - 12:59, 7 April 2024 |