The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 317
d by cutting a prism by parallel planes are equal. 5. From the extremities of the two parallel straight lines AB, CDparallel straight lines Aa, B?), Cc, T)d are drawn meeting a plane ata, h, c, d: shew that AB is to CD as ab is to cd. BOOK XL 17 30e5 Proposition 17. Theorem. If two straight lines… … Construction^ Join AC, BD, AD; let AD meet the planeKL at the point X ; and join EX, XF, Proof. Because the parallel planes KL, MN are cut by theplane EBDX, the common sections EX, BD are parallel; [XL 16.and because the parallel planes GH, KL are cut by the planeAXFC, the common sections AC, XF…
Euclid's Elements · Geometry · Mathematics, Greek
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