To construct an equilateral triangle on a given finite straight line. Let AB be the given finite straight line. It is required to construct an equilateral triangle on the straight line AB. Describe the circle …

Definition 1. A point is that which has no part. Definition 2. A line is breadthless length. Definition 3. The ends of a line are points. Definition 4. A straight line is a line which lies evenly with the …

Apr 14, 2007 · This edition of the Elements of Euclid, undertaken at the request of the prin-cipals of some of the leading Colleges and Schools of Ireland, is intended to supply a want much felt …

The Elements (Ancient 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 …

The first place in which Euclid uses phraseology exactly corresponding to ours when speaking of a straight line being produced is in I. 16: “let one side of it, BC, be produced to D” …

Euclid. Euclid's Elements. Sir Thomas Little Heath. New York. Dover. 1956. The National Science Foundation provided support for entering this text. Purchase a copy of this text (not …

1. Book I, Propositions 1,2,3, and 4. Begin Sequence This sequence demonstrates the developmental nature of mathematics. Using the postulates and common notions, Euclid, with …

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 …

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 …

Euclid, Elements J. L. Heiberg, Ed. ("Agamemnon", "Hom. Od. 9.1", "denarius") ... number 1 number 2 number 3 number 4 number 5 number 6 number 7 number 8 number 9 number 10 …