An Elementary Treatise On Physical Astronomy

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224. N t were correctly expressed by the series of terms there given, since no combination of the other arcs could possibly produce 2 g v, the coefficient (R ? 2 ) of the corresponding sine (sin. 2gnt), would be similar to the above coefficient of sin, p nt.
The same may be said of the term E e . Sin. C m v : for there is no combination of the other arcs that can produce c m v ; but, as we have seen in pp. 224, 225. The case is quite different with several of the other terms. The arc, for insta
...nce, which is the argu- ment of the Variation, can be formed by the combination of c v with 2 v 2 f v cv, and 2 v 2 m v + cv, and also by the com- bination of c mv with 2 v 2 mv c'mv, and 2 v 2mv+c'mv. In the process of Reversion, therefore, Q, besides that value 232 which it would have, did the combination of no other arcs form 2 v 2 m v 9 must have certain additional terms, involving the coefficients of r t;, 1v Q, mv cv> 2 v 2 mv + cv y &c: Let the series for n t and be those that are stated in p.

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