Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 74
cloid R • 6 = r • <^, hence ^ = ^-6. x = ADr X = AL - PM = (R - r)cos e- 7- cos CPM. NowCPJ/=lSO°-</, + ^R- x=(R — r)cos 6 + r cos 180°R- Hence PD = CL - CM = (R- r)s\n O-r sin Epicycloids and hypocycloids are used in constructing gear teeth. PLOTTING OF TRANSCENDENTAL EQUATIONS f)!) AiiT.… … end traces a curve which is called the involute of the circle.From the nature of the involute, IIP is tangent to the fixedcircle and equals the arc HO, which equals Ji$. X = AD = AL + KP = 11 cos 0 + BO sin 6, y=PD= IIL - IIK = n sin 6 - 116 cos 6* * The invohite is also used in cnnstructing gear…
Geometry, Analytic
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