Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 50
ereforethe triangles ABC and DEF are also equal. 27. If squares be described on the sides of any triangleas in Euclid I. 47, and if AP, FM and KN be drawn perpen-dicular to BC or BC produced, prove that BM and CN areeach equal to AP, and that the sum of FM and KN is equalto BC, £Aa£ the triangles… … equal, the angles APB and i^J/7? are right, and the angles ABPand FBM are together equal to a right angle, since the angle A BFis right, but ABP and iMP are together equal to a right angle,since the angle APB is right, therefore the angles BAP and FBMare equal, and therefore the triangles ABP, FBM…
Geometry
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