. 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]. Set the given distancefrom B to Fj reduceF to G ; and throughF, G, draw the circleFGH, which will beparallel to the givenright circle BD, at thedistance of 45°. Note. The point K, which is the centre of the circleFGH, may be found by drawing the tangent FK from?thepoint F. For, the centre is where it intersects ^the* diame-ter AY produced. 3[)0 MATHEMATICS. A<r 3. When the small circle required is parallel to an obliqu
. 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]. Set the given distancefrom B to Fj reduceF to G ; and throughF, G, draw the circleFGH, which will beparallel to the givenright circle BD, at thedistance of 45°. Note. The point K, which is the centre of the circleFGH, may be found by drawing the tangent FK from?thepoint F. For, the centre is where it intersects ^the* diame-ter AY produced. 3[)0 MATHEMATICS. A<r 3. When the small circle required is parallel to an oblique circle. Let the distance be30° from the obliquecircle AED. Find the pole P ofthe given oblique circle ;from A reduce P to N ;set from N, on eachside, the complement ofthe given distance of theparallel, that is 60°, toR, and to Q ; reduceR, Q, to X, Y. Thenbisect XY m O ; withcentre O, and radius OX, or OY, draw XBY for the cir-cle required. PROBLEM measure any arc of a projected small circle. 1. When the given small circle is parallel to the Let the given arc beAB. Reduce A, B, theextremities of the giv-en arc, to D, C, in theprimitive circle. ThenDC is the measure ofAB.
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