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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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?...
View Full Document

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.

Ask a homework question - tutors are online