. Cottage, lodge, and villa architecture. PRACTICAL GEOMETRY. 19 Fig. If the student has gone over this course of practice in the construction of geometrical curves,by performing the examples themselves on a large scale, he will be enabled, in his futureoperations, to make use of them in any drawings which come before him in his every-day are numerous other useful curve lines which admit of regular definitions, as the Cycloid,Epicycloid, &c. The first of these curves, the Cycloid (fig. 40), may be defined in a familiar manner, by supposing it to be the periphery of a cart-w
. Cottage, lodge, and villa architecture. PRACTICAL GEOMETRY. 19 Fig. If the student has gone over this course of practice in the construction of geometrical curves,by performing the examples themselves on a large scale, he will be enabled, in his futureoperations, to make use of them in any drawings which come before him in his every-day are numerous other useful curve lines which admit of regular definitions, as the Cycloid,Epicycloid, &c. The first of these curves, the Cycloid (fig. 40), may be defined in a familiar manner, by supposing it to be the periphery of a cart-wheelrolling along a level road. Thus the circle A b, in the annexedwoodcut, may be supposed to represent the cart-wheel rollingin the direction aba, and a to be the given point in its peri-phery. Under these conditions, the track of the point a duringone revolution will be indicated by the curve line, a c a, g a,which is termed the cycloidal curve. The properties of thecycloid may be briefly defined as follows :—If the generating circle is placed in the centre of
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