A View of Sir Isaac Newton's PhilosophyPemberton, Henry
Science
A View of Sir Isaac Newton's Philosophy
Pemberton, Henry
Newton, Isaac, 1642-1727. Principia
lessened, when that of _a_, _b_ was first enlarged, viz. the particles
_f_, _g,_ should be about their nearest distance, when _a_ and _b_ have
recovered their prime interval. Thus will the particles _a, b, c, d, e,
f, g_ have changed their situation in the manner asserted. But farther,
as the particles _f_, _g_ or F, G gradually approach each other, they
will move by degrees the succeeding particles to as great a length, as
the particles A, B did by a like approach. So that, when the chord has
made its greatest advance, being arrived into the situation I ϰ L, the
particles moved by it will have the rangement noted by the points α, β,
γ, δ, ε, ζ, η, θ, λ, μ, ν, χ. Where α, β are at the original distance
of the particles in the line A H; ζ, η are the nearest of all, and the
distance ν χ is equal to that between α and β.
10. BY this time the chord I ϰ L begins to return, and the distance
between the particles α and β being enlarged to its original magnitude,
α has lost all that force it had acquired by its motion, being now at
rest; and therefore will return with the chord, making the distance
between α and β greater than the natural; for β will not return so
soon, because its motion forward is not yet quite suppressed, the
distance β γ not being already enlarged to its prime dimension: but the
recess of α, by diminishing the pressure upon β by its elasticity, will
occasion the motion of β to be stopt in a little time by the action of
γ, and then shall β begin to return: at which time the distance between
γ and δ shall by the superior action of δ above β be enlarged to the
dimension of the distance β γ, and therefore soon after to that of α β.
Thus it appears, that each of these particles goes on to move forward,
till its distance from the preceding one be equal to its original
distance; the whole chain α, β, γ, δ, ε, ζ, η, having an undulating
motion forward, which is stopt gradually by the excess of the expansive
power of the preceding parts above that of the hinder. Thus are these
parts successively stopt, as before they were moved; so that when the
chord has regained its rectilinear situation, the expansion of the
parts of the air will have advanced so far, that the interval between
ζ η, which at present is most contracted, will then be restored to its
natural size: the distances between η and θ, θ and λ, λ and μ, μ and ν,
ν and χ, being successively contracted into the present distance of ζ
from η, and again enlarged; so that the same effect shall be produced
upon the parts beyond ζ η, by the enlargement of the distance between
those two particles, as was occasioned upon the particles α, β, γ, δ,
ε, ζ, η, θ, λ, μ, ν, χ, by the enlargement of the distance α β to its
natural extent. And therefore the motion in the air will be extended
half as much farther as at present, and the distance between ν and χ
contracted into that, which is at present between ζ and η, all the
particles of the air in motion taking the rangement expressed in figure
111.
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