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 87
en parallelogram, and having anangle equal to a given angle. BOOK I. 43. 75 Proposition 43. Theorem. The complements of the parallelograms which are about thediagonal of any parallelogram are equal. Let ABCD be a parallelogram, of which the diagonal isAO; and EH, GF parallelograms about AC, that… … Proof. Because AEKH is a parallelogram, and AK itsdiagonal, the A AEK = the A AHK. [I. 34. For the same reason the A KGC = the A KFC;.-, the two triangles AEK, KGC together = the two trianglesAHK, KFC. [Axiom 2. But the whole A ABC = the whole A ADC, because the diagonalAC bisects the parallelogram…
Euclid's Elements · Geometry · Mathematics, Greek
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