 | William Enfield - 1811 - 476 דפים
...double the arc QP, in whose middle is P : and double the triangle SQ£, or SP X QP (or ultimately QT) is proportional to the time, in which that double arc is described (by Prop. LXXII ) and therefore may be used for the exponent of the time. Whence SP8 or the centripetal... | |
 | Isaac Newton - 1826 - 208 דפים
...supposing the points P and Q continually to approach to each other. For QR is equal to the versed sine of double the arc QP, in whose middle is P : and double...Cor. 2. By a like reasoning the centripetal force is SY» x QP* reciprocally as the solid - — — — — ; if SY is a QK perpendicular, let fall from... | |
 | Michel Blay - 1998 - 230 דפים
...to the versed sine of double the arc QP, whose middle is P: and double the triangle SQP, or SP . QT is proportional to the time in which that double arc is described; and therefore may be used to represent the time.79 Injact, ultimately, QR is equal to the versed sine of the double arc QP, whose... | |
 | Jed Z. Buchwald, I. Bernard Cohen - 2001 - 380 דפים
...the versed sine of double the arc QP, whose middle is P: and double the triangle SQP, or SP • QT is proportional to the time in which that double arc is described; and therefore may be used to represent the time. 37 In fact, ultimately, QR is equal to the versed sine of the double arc of... | |
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SP; the centripetal force will be reciprocally as the solid xQ,it {{ t]^e solid be taken of that magnitude which it ultimately acquires when the points P and Q coincide. For QR is equal to the versed sine of double the arc QP, whose middle is P : and... 