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 47
the differ-ence of the sides AB and AC isequal to the given difference. Bisect BC in D, and draw AHbisecting the vertical angle BAG.Draw CG and BR perpendicularto AH, produce CG to meet AB inE, and BR to meet AC producedmF. Join DG, DR. Because AG F is common to the two triangles AGE and AGC, and… … 24.] AND IN MODERN GEOMETRY. 19 Because DG joins the middle points of the sides of the triangleBCE, DG is parallel to BE and equal to half BE (4), that is, DGis equal to half the given difference of sides. Similarly, DH is also half the given difference of sides, and Dis a fixed point, therefore…
Geometry
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