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 143
11-1 EXERCISES ON EUCLID [152. obviously its own reciprocal, and the square on CD is equal to thesquares on CF, CE, since CEDF is a rectangle. Q. E. D. 152. Given the vertical angle of a triangle in magnitudeand position, and the sum of the reciprocals of the sides : prthat the base always passes… … AK the linear unit, and ABC anv triangle satisfying the eiven con-ditions. Make BA.AE=AH* and CA.AF=AK:. ThereforeAE is the reciprocal of AB and AF of AC, Therefore the stun ofAE and AF is given (hyp.). Therefore (100) the circle circum-scribing the triangle AEF always passes through a tixed point…
Geometry
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