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 104
ouble of TNO, is equal to (Euclid, B. iii. Props. 20 and32) the angle NCO ; therefore the triangles TNX and NCO, beingisosceles, and having equal vertical angles, are similar, and conse-quently TN : TX :: NC : ON. It follows that OY : ON :: NO :ON, which proves that OY = = NC. The following… … !)4 ADDITIONAL EXAMPLES ON Analysis.—Join B, O ; draw AO parallel to the joining line,and join BO. We have then a triangle, BNO, equal to the qua-drilateral. Also, since VO : VO :: VA : VB, it is evident thatif VN be considered as a line revolving on V, the locus of thepoint O is a circle having…
Geometry -- Problems, exercises, etc · Geometry
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