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 41
he first case of Art. 34.The analogous conclusions respecting the second case, may bededuced by the aid of the principle of continuity ; but as thatprinciple cannot be fully apprehended by those not yet ac-quainted with the application of algebra to geometry, we havethought it advisable to give the… … A 1°. Lines drawn from any point in the plane of a quadrilate-ral to the six points of intersection of the sides form a pencil ininvolution, that is, a pencil of six legs cutting any transversalin involution. (It is evident, from Arts. 15 and 35, that if onetransversal be so divided, the same will…
Geometry -- Problems, exercises, etc · Geometry
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