Date of Award

Summer 1944

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

Abstract

It is the purpose of this thesis to show various applications of vector analysis in plane geometry. Possibilities of such applications have been indicated and some examples worked out by Gibbs-Wilson and others, chiefly as illustrations of vector methods. These illustrations are varied and show the beauty and simplicity of vector proofs. The main object has been the proofs of the classical propositions of elementary plane geometry. The proofs of all the propositions have not been given. Those propositions which did not seem to lend themselves to vectorial proof and those whose proofs follow too closely the method of ordinary plane geometry have been omitted. The intention has been to includes sufficient illustrations to show how vector analysis may be applied and to include those proofs which show the advantage of vector methods.

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