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 209
. On FF as diameter describe a circle. This circle is the re-quired locus. For join any point P on its circumference to thefour given points. Since Fy A, F, A form an anharmonic range(206, a), and the angle FPF is right, therefore (172) FF bisectsthe angle APA; similarly, PF bisects the angle BPB.… … N.B. Since, as we have proved, PF bisects the angle subtendedat P by every pair of conjugate points of a system in involution,being given any fifth point C we can very simply find its conjugate,for it is only necessary to draw PC making the angle FPC equalto FPC \ or again, we can determine as many…
Geometry
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