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 83
will find in Chapter VII. of this work. 5°. The second Lemma of Art. 9 is only a particular case ofthe following general theorem due to Carnot. (Geometrie dePosition, p. 295.) // a transversal be drawn cutting the sides of a polygon(or the sides produced), the continued products of the… … &c., perpendiculars from the angles of the polygon on the trans-versal, and we haveAD AP BE BQBD BQ CE?:CA CR DBDA DS EB :EC ET 1 AC ~ AP ;fore, by compounding AD. BE • C A. DB -EC n „ n ,T the ratlos B~DTCE^T[WTEFTAC = L Q-KD (Inproof CD and CD are supposed to meet at a point A.) A similar…
Geometry -- Problems, exercises, etc · Geometry
Internet Archive · Gerstein Library, University of Toronto · Public Domain Mark 1.0. Free to use for anything.
