In the beginning of the year 1665 I found the Method of approximating
series & the Rule for reducing any dignity of any Binomial into such
a series. The same year in May I found the method of Tangents of Gregory
& Slusius, & in November had the direct method of fluxions &
the next year in January had the Theory of Colours & in May following
I had entrance into ye inverse method of fluxions. And
the same year I began to think of gravity extending to ye orb
of the Moon & (having found out how to estimate the force with
wch [a] globe revolving within a sphere presses the surface
of the sphere) from Keplers rule of the periodical
times of the Planets being in sesquialterate proportion of their distances
from the center of their Orbs, I deduced that the forces wch
keep the Planets in their Orbs must [be] reciprocally as the squares of
their distances from the centers about wch they revolve: &
thereby compared the force of gravity at the surface of the earth, &
found them answer pretty nearly. All this was in
the two plague years 1665-1666. For in those
days I was in the prime of my age for invention & minded Mathematicks
& Philosophy more then at any time since.
Add MS 3968.41 f.85
© 1996 Andrew McNab.