. 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]. 2. When one point is in the circumference of the primitive,,and the other out of the centre. Let A, D, be the given points. Through A,the given pointin the circumfer-ence, draw thediameter AB; andan oblique circle,described throughA, D, B, will bethe projection ofthe great circle B 382 MATHEMATICS. 3. When neither of the points is in the centre or circumference. Let X and Y j^ be the points. Draw throughone po
. 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]. 2. When one point is in the circumference of the primitive,,and the other out of the centre. Let A, D, be the given points. Through A,the given pointin the circumfer-ence, draw thediameter AB; andan oblique circle,described throughA, D, B, will bethe projection ofthe great circle B 382 MATHEMATICS. 3. When neither of the points is in the centre or circumference. Let X and Y j^ be the points. Draw throughone point the di-ameter AXCBand the perpen-dicular diameterDE. ConnectX, D, and raisethe perpendicu-lar DF, concur-ring with AXCBproduced in F ;and through X,Y, F, draw thecircle required. PROBLEM V. Through a given point, in a projected great circle, to drawanother great circle perpendicular to it. Draw the arc of a great circle through the pole of thegiven circle and the given point. Hence 1. When the given circle is the primitive. Let X, or Y, bethe given point. Through the giv-en point X, orY, draw the diam-eter AXCE, orBCY ; and it willbe the perpendic-ular circle requir-ed.
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