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 22
because D is the centre of the circle GLK, DL is equal to DG ; [Definition 15. and DA, DB parts of them are equal; [Definition 23. therefore the remainders AL, BG are equal. [Axiom 3. But it has been shewn that BC is equal to BG; therefore AL and BC are each of them equal to BG. But things which… … BOOK I. 3. 11 / Proposition 3. Problem. From the greater of two given straight lines to cut off a part equalto the leo3. Let AB and C be the two given straight lines, of whichAB is the greater: It is required to cut off from AB, the greater, a part eqvxil to C,the less. D
Euclid's Elements · Geometry · Mathematics, Greek
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