trigonometrical curves

pl. Curves whose equations are respectively y=sin x, y =cos x,y=ver sin x, y =tan x, y =cot x, y=sec x, and y=cos x. If 4185 a circle be conceived to roll upon a straight line, continuing in the same plane, and at the point of contact perpendiculars to be erected equal to the sine, cosine, versed sine, ., of the arc from the origin of the arcs to the point of contact, the loci of the extremities of these ordinates will be the curves whose equations are given.