Date of Award

Summer 1959

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)



First Advisor

Pettit, Harvey

Second Advisor

Heider, J. L.

Third Advisor

Hamelsen, C. B.


In his two-volume treatise, Geometry of Four Dimensions, A. R. Forsyth (2) has extensively developed the theory of curves and surfaces completely in Cartesian form. This paper has developed a portion of Forsyth's work on four dimensional curves by means of the vector notation of Weatherburn (4). The vector notation is more concise than the Cartesian form and it is to be hoped that it affords added clarity to intuitive concepts. Throughout the work, in order to maintain continuity, certain long calculations have been placed in the Appendices.