An elementary treatise on modern pure geometry (1893)
Lachlan, Robert · London, New York, Macmillan and Co. · leaf 291
. Hence the points C, C must coincide. 427. Ex. 1. If {AA, BB, CC, DTH) be a range in involution, show thatthe ranges {AB, CD), {AB, CD] will be equicross. Show that the converse of this theorem is not true. Ex. 2. Show that any straight line is cut by the pairs of opposite con-nectors of a… … X --- We have, A {XX, YZ\={EX, CD]; and B {XX, TZ] = {XE, DC] = {EX, CD]. Therefore {XX, TZ] = {XX, YZ], and therefore {^^i TY, ZZ] is a range in involution. Ex. 3. Show that \i A, A; B, B; C, C; \)% the pairs of oppositevertices of a tetragram, and if 0 be any other point, the pencil 0 {AA, BE,CC]…
Geometry
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