The Elements consists of thirteen books. Book 1 outlines the fundamental propositions of plane geometry, includ-ing the three cases in which triangles are congruent, various theorems involving parallel lines, the theorem regarding the sum of the angles in a triangle, and the Pythagorean theorem. Book 2 is commonly said to deal with “geometric
Euclid's Elements - Wikipedia
The Elements (‹See Tfd› Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of …
Elements | Euclid, Axioms, & Facts | Britannica
Elements, treatise on geometry and mathematics written by the Greek mathematician Euclid (flourished 300 bce). The Elements is one of the most influential books ever written. It set a standard for deductive reasoning and geometric instruction …
The Elements of Euclid | Euclides.org
Elements consists of 13 books, the first 6 refer to basic plane geometry. From the seventh to the tenth deals with all numerical issues; Prime, radical, and divisibility numbers. The last 3 books cover topics on geometry of solids, polyhedra and circumstantial spheres.
This edition of Euclid’s Elements presents the definitive Greek text—i.e., that edited by J.L. Heiberg (1883– 1885)—accompanied by a modern English translation, as well as a Greek-English lexicon.
0. 欧几里德原本(Euclid's Elements)概述 - 知乎 - 知乎专栏
《欧几里德原本(Euclid's Elements)》是(迄今为止)最著名的古典(classical antiquity)数学著作，并且它被誉为世界上最古老的持续采用的数学教科书。 对于欧几里德，我们仅知道：他生活于公元前300年左右的亚历山大港(Alexandria)。
Euclid’s Elements (c.300BC) formed a core part of European and Arabic curricula until the mid 20th. century. Several examples are shown below.
Euclid of Alexandria (c. 325 - c. 265 BCE) Founder of Geometry. Active in Alexandria, Egypt during reign of Ptolemy I (323{283 BC). Elements of Geometry Most famous mathematical work of classical antiquity. World’s oldest continuously used mathematical textbook. Geometry, proportion, and number theory. 13 Books. 465 Propositions. 23 De nitions.
Elements -- from Wolfram MathWorld
5 天之前 · The elements started with 23 definitions, five postulates, and five "common notions," and systematically built the rest of plane and solid geometry upon this foundation. The five Euclid's postulates are
Euclidean geometry - Wikipedia
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements. Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.