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 71
he angle EAB is a right angle. [I. 47. Therefore the rectangle CF, FA, together with the squareon AE, is equal to the squares on AE, AB.Take away the square on AE, which is common to both jtherefore the remainder, the rectangle CF, FA, is equal tothe square on AB. {Axiovi 3. But the figure FK is… … BOOK II. 11, 12. 67 But HD is the rectangle contained by AB, BR^ for AB isequal to BD; and FH is the square on AH; therefore the rectangle ^^,5^is equal to the square on AH, Wherefore the straight line AB is divided at H, so that the rectangle A B, BH is equcd to the square on AH. q.e.f.…
Geometry · Euclid's Elements · Mathematics, Greek
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
