An Elementary Treatise On the Theoretical Mechanics
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Fig. 70 CIRCULAR ARC 127 This relation shows tliat (the distance of c. G. Of arc 2 a from center) = cos — X (the distance of c. G. Of arc a from center). Similarly (the distance of c. G. Of arc a from center) = cos — X (the distance of c. G. Of arc — from center), and so on. Continuing in this "vvay, and substituting, we obtain (the distance of c. G. Of arc 2 a from center) a a a a = cos — ■ cos — • cos — . • . Cos 2 -i 8 2" + ^ X (the distance of c. G. Of arc — from center).
If we make n very ...great, the value of — becomes zero. Thus the dis- a " tance of the c. G. Of an arc — from the center becomes equal to a, the radius of the circle. JNIaking ?; infinite, we have (the distance of c. G. Of arc 2 a from center) = a cos — cos — cos — . • • to infinity. 2 4 8 -^ T, T a sin a ^ow cos — =, o a a ■ a 2 sin — o cos- = -' etc. , 4 1 • a ^ 4 sm — 4 a . 1, C( LL CC so that cos — • cos — • cos — 2 4 8 Makins: n infinite, the value of sin— becomes identical with -—, so a ' 2" 2 that 2" sin — becomes identical with a, and we have a a a j.
What to read after An Elementary Treatise On the Theoretical Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by James Hopwood Jeans to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Fig. 70 CIRCULAR ARC 127 This relation shows tliat (the distance of c. G. Of arc 2 a from center) = cos — X (the distance of c. G. Of arc a from center). Similarly (the distance of c. G. Of arc a from center) = cos — X (the distance of c. G. Of arc — from center), and so on. Continuing in this "vvay, and substituting, we obtain (the distance of c. G. Of arc 2 a from center) a a a a = cos — ■ cos — • cos — . • . Cos 2 -i 8 2" + ^ X (the distance of c. G. Of arc — from center).
If we make n very ...great, the value of — becomes zero. Thus the dis- a " tance of the c. G. Of an arc — from the center becomes equal to a, the radius of the circle. JNIaking ?; infinite, we have (the distance of c. G. Of arc 2 a from center) = a cos — cos — cos — . • • to infinity. 2 4 8 -^ T, T a sin a ^ow cos — =, o a a ■ a 2 sin — o cos- = -' etc. , 4 1 • a ^ 4 sm — 4 a . 1, C( LL CC so that cos — • cos — • cos — 2 4 8 Makins: n infinite, the value of sin— becomes identical with -—, so a ' 2" 2 that 2" sin — becomes identical with a, and we have a a a j.
What to read after An Elementary Treatise On the Theoretical Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by James Hopwood Jeans to read onlineMoreLess
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