## perpendiculars

Use **perpendiculars** in a sentence

Noun

- plural form of
*perpendicular*

- Of the properties of a tangent it may be noticed that the tangent at any point is equally inclined to the focal distances of that point; that the feet of the
**perpendiculars**from the foci on any tangent always lie on the auxiliary circle, and the product of these**perpendiculars**is constant, and equal to the product of the distances of a focus from the two vertices. - But, p and q being respectively the
**perpendiculars**to the lines of action of the forces, this equation reduces to Pp=Rq, FIG. - Hence also the ratio of the com ponents of the velocities of two points A and B in the directions AP and BW respectively, both in the plane of rotation, is equal to the ratio of the
**perpendiculars**Fni and Fn. - Application to a Pair of TurnIng Fseces.Let ai, a2 be the angular velocities of a pair of turning pieces; Of, Oi the angles which their line of connection makes with their respective planes of rotation; Ti, r2 the common
**perpendiculars**let fall from the line of connection upon the respective axes of rotation of the pieces. - Then the equal components, along the line of connection, of the velocities of the points where those
**perpendiculars**meet that line are airi cos 0i = afri cos Oi; consequently, the comparative motion of the pieces is given by the equation ai_rieos0i ~I

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