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 214
, and therefore (208) the pencil P .ABCCBA! is in involution. Q. E. D. 215. If three chords of a circle meet in a point withinor without the circley the six straight lines joining any pointon the circumference to the extremities of the chords forma pencil in involution. Let AA, BB, CC be the three… … AC, AC, BC, BC, and AB meeting CC in & Let P be anypoint on the circumference. Now {A . CABC} = {A . CDEC} = {Bf. CDEC} = {B.CBAC} = {B.CABC\. Therefore (189), {P. CABC} = {P. CABC}, and therefore(208) P. ABC ABC is a pencil in involution, q. e. d. 216. If a system of circles he described…
Geometry
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