Euclidean tools

# Euclidean tools - 1 “Doubling the Cube:” Is it possible...

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The Euclidean Tools: Straight Edge and Compass The Euclidean Tools are used to produce those functions asserted as possible in Euclid’s Postulates 1, 2, and 3. Postulate 1: (It is possible) to draw a straight line from any point to any point. (Straight Edge) Postulate 2: (It is possible) to produce a straight line continuously in a straight line. (Straight Edge) Postulate 3: (It is possible) to describe a circle with any center and radius. (Compass) Classical Construction Problems of Geometry
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Unformatted text preview: 1. “Doubling the Cube:” Is it possible using Euclidean tools to construct a cube with volume equal to twice the volume of a given cube? 2. “Trisecting an angle:” Is it possible using Euclidean tools to construct an angle with measure equal to one-third the measure of a given angle? 3. “Squaring the Circle:” Is it possible using Euclidean tools to construct a square with area equal to the area of a given circle?...
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## This note was uploaded on 11/02/2010 for the course MATH modern geo taught by Professor Shirley during the Spring '10 term at University of Texas.

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