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
by the points α, β, γ, δ, ε, ζ, η, θ, λ, μ, ν, χ, ϰ, ρ, σ, τ, φ
wherein the particles from α to χ have their distances from each other
gradually diminished, the distances between the particles ν, χ being
contracted the most from the natural distance between those particles,
and the distance between α, β as much augmented, and the distance
between the middle particles ζ, η becoming equal to the natural. The
particles π, ρ, ω τ, φ which follow χ, have their distances gradually
greater and greater, the particles ν, χ, π, ρ, σ, τ, φ being ranged
like the particles _a, b, c, d, e, f, g_, or like the particles ζ,
η, θ, λ, μ, ν, χ in the former figure. Here it will be understood,
by what has been before explained, that the particles ζ, η being at
their natural distance from each other, the particle ζ is at rest, the
particles ε, δ, λ, β, ϰ between them and the string being in motion
backward, and the rest of the particles η, θ, λ, μ, ν, χ, π, ρ, σ, τ
in motion forward: each of the particles between η and χ moving faster
than that, which immediately follows it; but of the particles from χ
to φ, on the contrary, those behind moving on faster than those, which
precede.
11. BUT now the string having recovered its rectilinear figure, though
it shall go on recoiling, till it return near to its first situation
I K L, yet there will be a change in its motion; so that whereas it
returned from the situation I ϰ L with an accelerated motion, its
motion shall from hence be retarded again by the same degrees, as
accelerated before. The effect of which change upon the particles of
the air will be this. As by the accelerated motion of the chord α
contiguous to it moved faster than β, γ, so as to make the interval α
β greater than the interval β γ, and from thence β was made likewise
to move faster than γ, and the distance between β and γ rendered
greater than the distance between γ and δ, and so of the rest; now the
motion of α being diminished, β shall overtake it, and the distance
between α and β be reduced into that, which is at present between β
and γ, the interval between β and γ being inlarged into the present
distance between α and β; but when the interval β γ is increased to
that, which is at present between α and β γ the distance between γ
and δ shall be enlarged to the present distance between γ and β,
and the distance between δ and ι inlarged into the present distance
between γ and δ; and the same of the rest. But the chord more and more
slackening its pace, the distance between α and β shall be more and
more diminished; and in consequence of that the distance between β and
γ shall be again contracted, first into its present dimension, and
afterwards into a narrower space; while the interval γ δ shall dilate
into that at present between α and β, and as soon as it is so much
enlarged, it shall contract again. Thus by the reciprocal expansion
and contraction of the air between α and ζ, by that time the chord is
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account