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 52
e triangles ARCand KLC are equal in all respects; therefore AR and CL, CR andKL are equal. In the same manner it can be proved, from the triangles RNCand CLE, that BN and CL, NC and LE are equal. Therefore BN and AR are each equal to the same CL, andtherefore they are equal to one another;… … Hence the perpendicular CL produced bisects AB in M, andEK is double the bisector CM. In the same manner it can beproved that the perpendiculars from A and B to HG and FDbisect the sides BC and CA, and that £# is twice the bisector ofBC, and FD twice the bisector of CA. q. e. d. 29. In the figure…
Geometry
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