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 445
t. line EF be perp. to each of the st. linesAB, DC at E their point of intersection. Then shall EF be also perp, to the plane XY, in which AB andDC lie. Make EA, EC, EB, ED all equal, and join AD. BC.Through E in the plane XY draw any st. line cuttingAD and BC in G and H. Take any pt. F in EF; and… … In the A8 AEG, BEH,because the l GAE = the l HBE,and the l AEG = the L BEH,and EA= EB; .-. EG = EH, and AG=BH. Again in the A8 FEA, FEB,because EA- EB,and the common side FE is perp. to EA, EB j.-. FA = FB.Similarly FC = FD, Again in the A3 DAF, CBF,because DA, AF, FD = CB, BF, FC, respectively,…
Geometry · Mathematics
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