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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 127

An illustration from 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, leaf 127
lie inthe plane of projection. Describe asphere, with the vertex V of the givenangle AVB as centre, and the linefrom it to the centre of projection, C, asradius (see fig.). Let PV be the inter-section of the plane of the given anglewith that of projection PAB, and letCOO represent a great circle,… … ANHARMONIC PROPERTIES OF FOUR PLANES. 1 I 7 granted, it is evident that the angle CVO = CVO, and there-fore the arc CO = CO, and the two spherical triangles COB,COB, being right-angled at O and O, and having the anglesBCO, BCO also equal, are equal in all respects, so that thearc OB = OB; and in…

Geometry -- Problems, exercises, etc · Geometry

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