. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. ar FG, and continue the diameter EW till it intersectFG. Then with centre G, and radius GS, describe PZSK,the meridian of Cambridge. 5. A rule on W, Z, cuts the primitive at C. Set thecomplement of the latitude from C to B; and a rule overW, 13, cuts the meridian at P, which is the north a quadrant faom B to I, and also from I to M. Thena rule on W, I, cius the meridian at j£, the point where dieequinoctial inter
. Mathematics, compiled from the best authors and intended to be the text-book of the course of private lectures on these sciences in the University at Cambridge [microform]. ar FG, and continue the diameter EW till it intersectFG. Then with centre G, and radius GS, describe PZSK,the meridian of Cambridge. 5. A rule on W, Z, cuts the primitive at C. Set thecomplement of the latitude from C to B; and a rule overW, 13, cuts the meridian at P, which is the north a quadrant faom B to I, and also from I to M. Thena rule on W, I, cius the meridian at j£, the point where dieequinoctial intersects it ; and on W, M, it cuts the merid-ian produced in K, the south pole. SPHERIC GEOMETRY. 407 6. Draw the equinoctial RWjETE through the threepoints W, iE, E ; and VQK, the axis, and meridian of theplace Q. 7. Through the three points R, P, T, describe the circlePRKT, and draw the diameter UX perpendicular to describe the meridians, and parallels of latitude, as inthe stercographic projection on the plane of the horizon jfinding the intersections of the parallels with the axis by re-ducing from the point R. Stereographic Projection on an oblique 408 MATHEMATICS. Note. Every great circle of the sphere is the horizonof a certain place. And when the sphere is projected onan oblique circle, it is easy to determine the latitude of theplace, where the primitive would be horizontal, and also itsdifference in longitude from the place, for which the projec-tion is made. Thus, in this projection, VP = Qe = the latitude j andeJE, == kh = the difference, in longitude from Cambridge, ofthe place, where this oblique circle would be the horizon. i% *% s%*.?*?. .w?. ^ ^. s>W V* &£?& ffi. ffi. fa **-. y^ Vi^ ^ .w. fir-. ?t\ SPHERIC TRIGONOMETRY. DEFINITIONS. 1. IS PHERIC TRIGONOMETRY teaches the rela-tions and calculation of the side and angles of spheric triangles. 2. A spheric triangle is a figure on the surface of asphere, bounded by three arcs of great circles. 3
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