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Consortium for Mathematics and its Applications

Product ID: 99594
Supplementary Print
Undergraduate
High School

Inversion Theory and Peaucellier Linkage (UMAP)

Author: Joan H. Shers


A unit that involves inversion theory and Peaucellier linkage.

Table of Contents:

1. INTRODUCTION

2. THE CIRCLE OF INVERSION
2.1 What is a Circle of Inversion?
2.2 The Inverse of a Point with Regard to the Circle of Inversion
2.3 The Inverse of a Line Through the Center of the Circle of Inversion
2.4 The Inverse of a Line Not Through the Center of the Circle of Inversion
2.5 The Inverse of a Circle Through the Center of the Circle of Inversion

3. PEAUCELLIER'S LINKAGE
3.1 Description
3.2 How does Peaucellier's Linkage Work?
3.3 Why does Peaucellier's Linkage Work?

4. ANSWERS TO PROBLEM SETS

5. BIBLIOGRAPHY

©1982 by COMAP, Inc.
UMAP Module
12 pages

Mathematics Topics:

Geometry

Application Areas:

Engineering & Construction

Prerequisites:

Geometry (similiarity, constructions, locus, Pythagorean theorem); algebra (distributive property/factorization)

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