A syllabus of line geometry

<p>In the study of advanced geometry, we shall deal with a certain important relation between pairs of figures in space, and also between their properties. There are two distinct parts to analytic geometry, the analytic work and the geometric interpretation. Two systems of geometry, depending upon different elements with the same number of coordinates, will have the same analytic expressions and will differ only in the interpretation of the analysis. In such a case it is often sufficient to know the meaning of the coordination and the interpretation of a few fundamental relations in each system in order to find for a theorem in one geometry a corresponding theorem in the other. The nature of this relation is explained by the theorem of duality which assets that a dual, or reciprocal, statement can be derived from a given statement.</p>

Name thesis:degree_name

Master of Arts (M.A.)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics

Year dc:date.available

1930

Author dc:creator

• Willmarth, Alice

• Line geometry
• Mathematics

Licence

• http://rightsstatements.org/vocab/NKC/1.0/

Repository record dc:identifier

https://scholarlycommons.pacific.edu/uop_etds/901

OAI identifier oai:identifier

oai:scholarlycommons.pacific.edu:uop_etds-1900