The three lines 1i = aix +biy+ ci = 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?
Proceedings of the Iowa Academy of Science
©1946 Iowa Academy of Science, Inc.
"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