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Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to .... Book 1 contains Euclid's 10 axioms (5 named 'postulates'— including the parallel postulate—and 5 named 'common notions') and the basic ...


When a straight line standing on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing ...


For one thing, the Elements ends with constructions of the five regular solids in Book XIII, so it is a nice aesthetic touch to begin with the construction of a regular  ...


BOOK I. DEFINITIONS. 1. A point is that which has no part. 2. A line is breadthless length. 3. The extremities of a line are points. 4. A straight line is a line which ...


Feb 26, 2017 ... Book 1 learn step by step here: http://pythagoreanmath.com/euclids-elements- book-1-proposition-1/


Euclid's Elements. Book I ... If in a triangle two angles be equal to one another, the sides which subtend the equal angles will also be equal to one another.

Feb 18, 2014 ... How to construct an equilateral triangle from a given line segment.
Jan 28, 2012 ... Learn step-by-step here: http://pythagoreanmath.com/euclids-elements-book-1- proposition-1/ Buy my app!


The Elements consists of thirteen books. Book 1 outlines the fundamental propositions of plane geometry, includ- ing the three cases in which triangles are  ...