- This is the true standpoint from which the
**theorem**should be regarded. - This is the binomial
**theorem**for a positive integral index. - Consideration of the binomial
**theorem**for fractional index, or of the continued fraction representing a surd, or of**theorems**such as Wallis's**theorem**(ï¿½ 64), shows that a sequence, every term of which is rational, may have as its limit an irrational number, i.e. - We therefore have the fundamental
**theorem**that the angular velocity of the body around the centre of attraction varies inversely as the square of its distance, and is therefore at every point proportional to the gravitation of the sun. - This
**theorem**was investigated by Sir W.

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