Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . t; F. 1 2 R = P. Perltrochoids. MajorHypotrochoids. MinorHypotrochoids. MedialHypotrochoids. 1 On circumference i rveloldof rolling circle. v-jv, uiu. (a) Epicycloid. (a) Pericyclold (d) Jlajor 1 Hypocyclolds. (d) MinorHypocycloid. Straight jHypocycloid. Involute. Within ProlateCircnmference. Troehoid. (b) ProlateEpitrochoid. (c) ProlatePerltrochold. (e) Jlajor Prolate (f) JlinorProlate ^ Euim^cal Hypotrochoid. i Hypotrochoid. Hypotrochoid. Prol
Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . t; F. 1 2 R = P. Perltrochoids. MajorHypotrochoids. MinorHypotrochoids. MedialHypotrochoids. 1 On circumference i rveloldof rolling circle. v-jv, uiu. (a) Epicycloid. (a) Pericyclold (d) Jlajor 1 Hypocyclolds. (d) MinorHypocycloid. Straight jHypocycloid. Involute. Within ProlateCircnmference. Troehoid. (b) ProlateEpitrochoid. (c) ProlatePerltrochold. (e) Jlajor Prolate (f) JlinorProlate ^ Euim^cal Hypotrochoid. i Hypotrochoid. Hypotrochoid. ProlateCyclo-orthoid. WithoutCircumference. Curtate 1(c) Curtate (b) Curtate 1 ^^ curSe Cumte *°^ E^ilpttcllTrochoid. ;j Epitrochoid. Perltrochold. |j HypotiSJhold. Hypotrochoid. Hypot^ochiid. CurtateCyclo-orthoid. 177. From the above we see that the prefix qn (over or upon) denotes the curves resultingfrom external contact; %j50 (under) those of internal contact with smaller circle rolUng; whileperi (about) indicates the third possibility as to rolling. * Ke-prlnted in substance in the Appendix. 60 THEORETICAL AND PRACTICAL GRAPHICS. :Fig-- 178. The construction of these curves is in closest analogy to that of the cycloid. If, forexample, we desire a rtiajor hypocydoid we first draw two circles, mVP. m x L, (Fig. 103), tangent internally, of which the rolling circle has itsdiameter greater than the radius of the fixedcircle. Then, as for the cycloid, if the tracing-point is P, we divide the semi-circumference m V Pinto equal parts and from the fixed centre, F, de-scribe circles through the jjoints of division, asthose through 1, 2, 5, ^ and 5. These replace thelines of level of the cycloid, and may be calledcircles of distance, as they show the distance fromF of the point P, for definite amounts of angularrotation of the latter. For, if the circle P Vmwere simply to rotate about R, the point P wouldreach m during a semi-rotation and would thenbe at its maximum distance fro
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