Newton's Principia : $b The mathematical principles of natural philosophyNewton, Isaac
General
Newton's Principia : $b The mathematical principles of natural philosophy
Newton, Isaac
Celestial mechanics -- Early works to 1800; Mechanics -- Early works to 1800
or four days to have some use of my eyes again; and by forbearing to
look upon bright objects, recovered them pretty well, though not so
well but that, for some months after, the spectrum of the sun began
to return as often as I began to meditate upon the phenomena, even
though I lay in bed at midnight with my curtains drawn. But now I have
been very well for many years, though I am apt to think, if I durst
venture my eyes, I could still make the phantasm return by the power
of my fancy. This story I tell you, to let you understand, that in the
observation related by Mr. Boyle, the man's fancy probably concurred
with the impression made by the sun's light to produce that phantasm of
the sun which he constantly saw in bright objects. And so your question
about the cause of phantasm involves another about the power of fancy,
which I must confess is too hard a knot for me to untie. To place this
effect in a constant motion is hard, because the sun ought then to
appear perpetually. It seems rather to consist in a disposition of the
sensorium to move the imagination strongly, and to be easily moved,
both by the imagination and by the light, as often as bright objects
are looked upon."
Though Newton had continued silent, yet his thoughts were by no means
inactive upon the vast subject of the planetary motions. The idea of
Universal Gravitation, first caught sight of, so to speak, in the
garden at Woolsthorpe, years ago, had gradually expanded upon him. We
find him, in a letter to Dr. Hooke, Secretary of the Royal Society,
dated in November, 1679, proposing to verify the motion of the earth by
direct experiment, namely, by the observation of the path pursued by a
body falling from a considerable height. He had concluded that the path
would be spiral; but Dr. Hooke maintained that it would be an eccentric
ellipse in vacuo, and an elliptic-spiral in a resisting medium. Our
author, aided by this correction of his error, and by[Pg 30] the discovery
that a projectile would move in an elliptical orbit when under the
influence of a force varying inversely as the square of the distance,
was led to discover "the theorem by which he afterwards examined the
ellipsis;" and to demonstrate the celebrated proposition that a planet
acted upon by an attractive force varying inversely as the squares of
the distances will describe an elliptical orbit, in one of whose foci
the attractive force resides.
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