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 349
Y, if AX :XB :: CY : YD. And the same definition applies equally whether X and Y divideAB and CD internally as in Fig. 1 or externally as in Fig. 2. 328 euoltds elements.Proposition 2. Theorem. If a straight line is drawn parallel to one side of a triangle,it cuts the other sides, or those sides… … Let XY be drawn par1 to BC, one of the sides of theA ABC. Then shall BX : XA :: CY : YA. Join BY, CX.Now the As BXY, CXY are on the same base XY andbetween the same par,s XY, BC; .-. the A BXY-the A CXY; 1.37. and AXY is another triangle ;.-. the A BXY : the A AXY :: the A CXY : the A AXY. V. 4.But…
Geometry · Mathematics
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