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 119
angle is greater than the squares onthe sides containing the obtuse angle, by twice the rectangle containedby the side on which, when produced, the perpendicular falls, andthe straight line intercepted without the triangle, between the per-pendicular and the obtuse angle. Let ABC be an… … Proof. Because BD is divided at C, the sq. on BD= sqs. on BC, CD, and twice the rect. BC, CD. [II. 4.To each add the square on DA; .. the squares on BD, DA = the squares on PO, CD, DA,and twice the rectangle BC, CD. [Axiom 2. But the square on BA==the squares on BD, DA,^and the square on CA = the…
Euclid's Elements · Geometry · Mathematics, Greek
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