Principles of modern geometry, with numerious applications to plane and spherical figures; and an appendix, containing questions for exercise. Intended chiefly for the use of junior students (1862)
Mulcahy, John, 1810?-1853 · Dublin Hodges, Smith · leaf 36
e sides equals - QO We shall conclude thissubject with one of Steinerstheorems (see Salmons ConicSections, p. 322):— The sixty Pascals lines con-sist of twenty sets of three, eachset passing through a point. In order to prove this, let usconsider (see figure) the two tri-angles PQR, PQR. We see… … assigned, the total number of solutions equals (in general) 22 . 32 . . . . (»z - 1)-, in beingthe number of the given points. (Poncelet, Traite des Proprietes Projectives, p. 348.)This expression must be divided by two in the two particular cases before mentioned. E 26 INVOLUTION. line of the…
Geometry -- Problems, exercises, etc · Geometry
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