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Advanced geometry for high schools : synthetic and analytical (1919)

McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 55

An illustration from Advanced geometry for high schools : synthetic and analytical, 1919, leaf 55
he two given lines. 42 SYNTHETIC GEOMETRY 7. In Figures 40 or 41 P is any point in AB, Q is anypoint in CD and p, q are the corresponding points in ab,cd respectively. Prove that PQ || pq. 8. A ABC HI A «&c» with their corresponding parts in thesame circular order, but their corresponding sides… … Fig. 42. 9. Show that 4R = rx-\-r2-\-r3 - r, when R is the radiusof the circumcircle, r of the inscribed circle, and rv r.,, r3 theradii of the escribed circles. (Note.—In A ABC let I be the centre of the inscribedcircle, lj that of the escribed circle opposite A. Draw thediameter GDH of the…

Geometry · Geometry, Analytic

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