Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . ond director—which it also encloses. In the first case the resulting curve is a prolate epi-trochoid; in the second a curtate pjeritrochoid. Proceeding in the usual way, a semi-circle is drawnthrough P from each rolling centre, R and p. Dividing these semi-circles into the same number ofequal jjarts draw next the dotted circles of distance through these points, all from centre figure illustrates the sjDecial case where the larger set of ci


Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . ond director—which it also encloses. In the first case the resulting curve is a prolate epi-trochoid; in the second a curtate pjeritrochoid. Proceeding in the usual way, a semi-circle is drawnthrough P from each rolling centre, R and p. Dividing these semi-circles into the same number ofequal jjarts draw next the dotted circles of distance through these points, all from centre figure illustrates the sjDecial case where the larger set of circles of distance divides both serai-circumferences into equal parts. The successive positions of P, as P^, P.^, etc., are then located by EPI- AND PERI-TROCHOIDS. 61 arcs of radii R P or p P, struck from the successive jjositions of R or p and intersecting the proper circle of distance. For example, the turning of P through the angle P R 1 about R would bringP somewhere upon the circle of distance through point 1; but that amount of turning would bedue to the rolling of the first generator over the arc m Q, which would carry R to R^; P would. therefore be at Pj, at a distance R P from R^ and on the dotted arc through 1. Similarly inrelation to p. Each position of P is joined with each of the centres from which it could beobtained. 62 THEORETICAL AND PRACTICAL GRAPHICS.


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Keywords: ., bookcentury1800, bookdecade1890, booksubjec, booksubjectlettering