Lectures on fundamental concepts of algebra and geometry (1911)
Young, John Wesley, 1879-1932, Denton, William Wells, Mitchell, Ulysses Grant · New York : Macmillan · leaf 74
The cardinalnumbers of these two dosses are therefore equal, by definition. It follows almost immediately that the cardinal numberof the dass of points on any line segment AB is the same 1 K AA, BB are parallel, we replace the line OP by the linethroogh P parallel to AA. The argument then applies… … 62 CONCEPTS OF ALGEBRA AND GEOMETRY as the cardinal number of the dass of points on any linesegment CD contained in AB. To prove this we need only assume an auxiliary linesegment AB in a plane withAB, but on a different line.The points of JlB may thenbe placed into onfe-to-one cor-respondence with…
Algebra · Geometry
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