Calculus, with applications; an introduction to the mathematical treatment of science (1900)
Hayes, Ellen, 1851- · Boston, Allyn and Bacon · leaf 96
ing through OX perpendicular to OF. The radius ofthis circle is «, and the displacement at any time t is 6.If a is given in degrees, it must be divided by theradian (57°.295779 •••). For instance, if I = 50 inchesand a = 1°, the radius of the circle across which the harmonic motion takes place is… … Fig. 8. Let OM=a, ON=b, OT=z, and OV=z + 8p;then QT=y, and RV=y + 8y. If the area OLQT,any varying portion of the area OLSN, equals ^4, areaOLR V=A + 8A, and 8A = TQR V. Now, if the short 86 CALCULUS. arc QR were a straight line, the area TQRS would bea trapezoid, and we should have 8A = Sx±(QT +…
Calculus · Geometry, Analytic
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