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 471
t them intersect at the point G. Then by similar As, AG : G^1 = AB : gxg% = AX : Xg,= 3:1..*. Bg.2 cuts Agl at a point G whose distance from gx = £. AgvSimilarly it may be shewn that Cgz and D#4 cut A^ at the samepoint; .. these lines are concurrent. Q. e. d. 450 EUCLIDS ELEMENTS. Theorem 5. (i) If… … Let SABCD be a pyramid, and abed the section formed by aplane drawn par1 to the base ABCD. (i) Then the Jigs. ABCD, abed shall be similar. Because the planes abed, ABCD are par1, and the plane AB&a meets them, :. the common sections ab, AB are par1. Similarly be is par1 to BC; cd to CD ; and da…
Geometry · Mathematics
Internet Archive · UBC Library · Public Domain Mark 1.0. Free to use for anything.
