Document Type

Research

Abstract

The three lines 1_i = a_ix +b_iy+ c_i = 0, i = 1, 2, 3, meet in a point if the third order determinant │a₁b₂c₃│ is zero. This is a necessary and sufficient condition if it is assumed that three parallel lines meet in a point. This paper is concerned with the answer to the question: How many points can be associated with a given third order determinant which is zero if equations of lines are formed by using the elements of the determinant as the coefficients?

Publication Date

1946

Journal Title

Proceedings of the Iowa Academy of Science

Volume

Issue

First Page

257

Last Page

258

Copyright

Language

File Format

application/pdf

Recommended Citation

Woods, Roscoe (1946) "On the Converse of a Certain Theorem in Analytic Geometry," Proceedings of the Iowa Academy of Science, 53(1), 257-258.
Available at: https://scholarworks.uni.edu/pias/vol53/iss1/31

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On the Converse of a Certain Theorem in Analytic Geometry

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