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 264
, and HG and HB. Therefore HD : BE :: HB : EF, or HD ■. DE :: HG : GE. 268.] AND IN MODERN GEOMETRY. 235 Therefore HE is cut internally in G and externally in D in thesame ratio, and is therefore cut harmonically. Q. E. D. 267. If the perpendiculars Aa, Bb, Cc he let fall fromthe angular points A,… … Because the angles BcC and BbC are right, the four points2?, C, b, c lie on the same circumference; therefore cL.Lb = BL.LC. But cL. Lb equals the square on the tangent from L to thecircle described about the triangle abc, and BL . LC equals thesquare on the tangent from L to the circle described…
Geometry
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
