On finding sine, cosine

Thomas W. Bakewell
1844 Journal of the Franklin Institute  
On finding 5~ne, Cosine, ~.c. ~2 l following postulate is given: the required intensity of resistance, to balance a given force, is proportional to the obliquil~l of that resistance to the given force. This is true, and may be usefully impressed. It reverses the assumption of Mr. Clifford, and makes the transmitted forces through the connecting-rods, in their own direetions, inversely as the cosines. Let $ P, be the short connecting-rod ir~ its return, corresponding with its position at S O,
more » ... the piston-rod moving from S, towards D ; then, by Mr. Clifford's theory, the force transmitted by the push, (thrust) through the connecting-rod, in its own direction, is decreased
doi:10.1016/s0016-0032(44)90906-3 fatcat:rqpsmewaazedlp66qas2lzggci