Text-book of Euclid's elements for the use of schools : books I - VI and XI (1900)
Hall, H. S. (Henry Sinclair), 1848-1934, Stevens, F. H. (Frederick Haller), 1853-1933 · MacMillan : London · leaf 459
t K. Then since the whole st. line EFK is in the plane AB, and K is a point in that line, .-. the point K is in the plane AB. Similarly the point K is in the plane CD. Hence the planes AB, CD when produced meet at K; XL 1. which is impossible, since they are par1. \ the st. lines EF and GH do not… … Let the st. lines AB, CD be cut by the three par1 planesGH, KL, MN at the points A, E, B, and C, F, D.Then shall AE : EB :: CF : FD.Join AC, BD, AD ;and let AD meet the plane KL at the point X :join EX, XF. Then because the two par1 planes KL, MN are cut bythe plane ABD, .. the common sections EX,…
Geometry · Mathematics
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