Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 78
and BK to EF ; hence AKLE iscaual to AB11E + ED(jF. These two parts make up the s(juareABIF minus the square DIIIG, which latter is equal to a•quare described on liC ; hence wc have (AB + BC) X (Ali—BC) = AB—BC«. Scholium. This proposition Ls equivalent to tlic algebraicalformula, (a 4- b) x… … Let the triangle ABC be rightangled at A. Having describedsquares on the three sides, letfall fronï A^on the hypothenuse,the perpendicular AD, whichproduce to E; and draw thediagonals AF, CH. The angle ABF is made upof the angle ABC, together withthe right angle CBF ; the angleCBH is made up of the…
Trigonometry · Geometry
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