Date of Award

Spring 1933

Degree Type

Thesis - Restricted

Degree Name

Master of Arts (MA)

Department

Mathematics

Abstract

The purpose of this paper is to extend the construction suggested by L. Crelier to the case of conics. The construction shall be defined as follows: Given a conic C, a point 0, a constant length k, and a constant angle Alpha. Through O draw a radius vector intersecting the conic in P. at an angle QPQ equal to Alpha, draw PQ and PQ1 equal to k. The locus of Q and Q1 is the conchoid of the conic C. It is the purpose of this paper to examine the equations of the conchoids of the circle, parabola, ellipse, and hyperbola by means of methods accepted in curve analysis and to derive general characteristics of these conchoids. It is the further purpose of this paper to construct and classify sufficient sets of conchoids to enable one to follow the behavior of the conchoids of the circle, parabola, ellipse, and hyperbola within the finite region.

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