Proinde vim inferunt sacris literis qui voces hasce (v. tempus, spatium, motus) de quantitatibus mensuratis ibi interpretantur. Newton, p. 10.
N.
I differ from Newton, in that I think the recession ab axe motus is not the effect, or index, or measure of motion, but of the vis impressa. It sheweth not wt is truly moved, but wt has the force impressed on it, or rather that wch hath an impressed force.
D and P are not proportional in all circles. d d is to 1/4d p as d to p/4; but d and p/4 are not in the same proportion in all circles. Hence 'tis nonsense to seek the terms of one general proportion whereby to rectify all peripheries, or of another whereby to square all circles.
N. B. If the circle be squar'd arithmetically, 'tis squar'd geometrically, arithmetic or numbers being nothing but lines & proportions of lines when apply'd to geometry.
Mem. To remark Cheyne[64] & his doctrine of infinites.
Extension, motion, time, do each of them include the idea of succession, & so far forth they seem to be of mathematical consideration. Number consisting in succession & distinct perception, wch also consists in succession; for things at once perceiv'd are jumbled and mixt together in the mind. Time and motion cannot be conceiv'd without succession; and extension, qua mathemat., cannot be conceiv'd but as consisting of parts wch may be distinctly & successively perceiv'd. Extension perceived at once & in confuso does not belong to math.
The simple idea call'd Power seems obscure, or rather none at all, but onely the relation 'twixt Cause and Effect. When I ask whether A can move B, if A be an intelligent thing, I mean no more than whether the volition of A that B move be attended with the motion of B? If A be senseless, whether the impulse of A against B be followed by ye motion of B[65]?