...fall from the centers of motion upon the line of action. Or otherwise : The angular velocities are inversely proportional to the segments into which the line of centers is cut by the line of action. CONDITION OF A CONSTANT VELOCITY RATIO. satisfy, viz. : they must be of...

...perpendiculars let fall from the fixed centers of motion upon the common normal, or the angular velocity ratio is inversely proportional to the segments into which the line of centers is divided by the common normal. The application of this law to a pair of circular wheels is shown by Fig. 21. Let N...

...the centers of rotation to the point of contact. It follows that if the velocity ratio is constant the segments into which the line of centers is divided by the point of contact must be constant, and that therefore the rolling curves must have a constant radius....

...for a pair of links with curved surfaces in direct contact, the angular velocities are inversely as the segments into which the line of centers is divided by the common normal. From the above analysis it follows, also, that for constant angular velocity ratio the...

...rod, as in Fig. 7, that the angular velocities of the two cranks connected by a link are inversely as the segments into which the line of centers is divided by the line of the link. We can apply the same principle to our imaginary link, which cuts the line of centers at...