...line of centres and the line of action. 31 The usual value of i being 75£°, sin s = -^ nearly. OA 459. The Addendum of involute Teeib, that is, their...of the path of contact beyond I. Now CP = r, . sin I ; PI = r, . cos i. Let tj be the portion of the path of contact above mentioned ( = gr2 -sin 6),...

...action. 31 The usual value of f being 75^°, sin f = -^ nearly. 459. The Addendum of involute Teeth, that is, their projection beyond the pitch circle,...wheels in fig. 198, such as the wheel 1, the real rculius, or radius of the addendum circle, is the hypothenuse of a right-angled triangle, of which...

...upper chord given to one panel. For double intersection, vertical and diagonal bracing, the diagonal is the hypothenuse of a right-angled triangle, of which one side is the height of truss, and the other side is the horizontal projection of the diagonal length before camber,...

...found by considering, that for one of the •wheels in fig. 198, such as the wheel 1, the real radiits, or radius of the addendum circle, is the hypothenuse...the radius of the base circle CP, and the other is T*~I + the portion of the path of contact beyond I. Now C~P = r, • sin t ; PI = r, . cos I. Let t3...

...OA)2 .-. BP2 - AP- = 2dy , BP - AP = = omitting small quantities of the second order. For since AP is the hypothenuse of a right-angled triangle, of which one side is a and the other is very small, AP differs from a by a small quantity of the second order. Similarly...

...zdy BP - AP = BP dy , = — very nearly, omitting small quantities of the second order. For since AP is the hypothenuse of a right-angled triangle, of which one side is a and the other is very small, AP differs from a by a small quantity of the second order. Similarly...