The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)
Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 72
DA are equal to the squares onBC, CD, DA, and twice the rectangle BC, CD. [Axiom 2.But the square on BA is equal to the squares on BD, DA,because the angle at /> is a right angle ; [I. 47. and the square on (7^ is equal to the squares on CD,DA.[l. 47.Therefore the square on BA is equal to the… … 68 EUCLIDS ELEMENTS. PROFOSITION 13. THEOREM. In every triangle, the square on the side subtendinga I acute angle, is less than the squares on the sides con-taining that angle, by ticice the rectangle contained hyeither of these sides, and the straight line interceptedhetween the perpendicular let…
Geometry · Euclid's Elements · Mathematics, Greek
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