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 144
ting the limits of the problem,within which a solution is possible. 154. If D be the middle point of the base B3 of anytriangle BAG, E and L the points where the jierpendicular onthe base, and the bisector of the vertical angle, meet the base,and H, S the jioints of contact of the inscribed and… … B S D IiH 12 Therefore ($6) DL.DE = DH2 or DS3.Now SL. LH + DL* = DH2 (II. 5), and DL.DE = DU + DL. LE, (II. 3). 8—2 116 EXERCISES ON ECCLID [155. Therefore SL . LU + DL2 = DL2 + DL . LE, and therefore SL. LH = DL. LE which proves one part of theproposition. Again BE. DII = DE. HL + DE. DL, (II.…
Geometry
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