A New General Theory of the Teeth of Wheels

3d Point analytic curve angular motion angular velocities assumed augment axes axis circumference co-ordinates compute condition of contact continue contour curvature curve of sines cutter cycloidal D Q E disc whose centre divisor draw ellipse epicycloid equal equation find finishing first five fixed friction geometrical give Hence hour-glass curve indeterminate equation infinite integral intersection involute limits line of centres linear velocity metacentric distance modification normal number of contacts number of teeth obliquity obtain orbit osculates outline parallel pass permutability perpendicular pinion pitch line pitch point Plate plerotic contact point of contact point Q porism position pragmatic action pragmatic contacts pressure radii radius ratio result seven contacts shew shewn in figure side straight line straight rack suppose surfaces tangent teeth of wheels tion tooth tracing point turn wheel-work whence wherefore zero