Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 103
hence, we have (a. 1.), {AB-\-BC)x{AB-BG)=o^AB-BG. Scholium. This property is expressed by the algebraicalformula, {a^-h)X{a-h)=a-lJ. PKOPOSITION XI. THEOEEM. The sqtiare described on the hypotlienuse of a right-angled triangle is equivalent to the sum of the squares described on theother two… … Having described a squareon eacli of the three sides,let fall from A, on the hy-j)0thenuse, the perpendicularAD, and prolong it to F]nd draw the diagonals AF^CIL The angle ABF is madeup of the angle ABC^ to-gether with the right angleCBF] the angle CBHis madeup of the same angle ABC^ together with…
Geometry · Trigonometry
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