Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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to be the Altitude, and C B the Amplitude of the Semiparabola A B;
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which is deſcribed by the Compoſition of two Lations; of which one is
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that of the Moveable deſcending along A C with a Motion Naturally
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Acceler ate
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ex quiete
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in A; the other is the Equable Tranſverſal Moti
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on according to the Horizontal Line A D. The
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Impetus
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acquired in C
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along the Deſcent A C is determined by the quantity of the ſaid height
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A C; for the
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Impetus
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of a Moveable
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falling from the ſame height is alwaies
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one and the ſame: but in the Horizontal
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Line one may aſſign not one, but innume
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rable Degrees of Velocities of Equable
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Motions: out of which multitude that I
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may ſingle out, and as it were point with
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the finger to that which I make choice of,
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I extend or prolong the Altitude C A
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in
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ſublimi,
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in which, as was done before, I
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will pitch upon A E; from which if I
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conceive in my mind a Moveable to fall
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ex quiete
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in E, it appeareth that its
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Im
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petus
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acquired in the Time A, is one with which I conceive the ſame
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Moveable being turned along A D to be moved; and its degree of
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Vclocity to be that, which in the Time of the Deſcent along E A paſſeth
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a Space in the Horizon double to the ſaid E A. </
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>This Præmonition I
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judged neceſſary.
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It is moreover to be advertized that the Amplitude of the Semi
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parabola A B ſhall be called by me the Horizontal Line
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[or Plane]
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C B.
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The Altitude, to with A C, the Axis of the ſaid Parabola.
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And the Line E A, by whoſe Deſcent the Horizontal
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Impetus
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is de
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termined, I call the Sublimity, or height.
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Theſe things being declared and defined, I proceed to Demonſtra
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tion.
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>SAGR. Stay, I pray you, for here me thinks it is convenient to
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adorn this Opinion of our Author with the conformity of it to
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the Conceit of
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Plato
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about the determining the different Veloci
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ties of the Equable Motions of the Revolutions of the Cœleſtial
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Bodies; who, having perhaps had a conjecture that no Moveable
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could paſſe from Reſt into any determinate degree of Velocity in
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which it ought afterwards to be perpetuated, unleſs by paſſing
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thorow all the other leſſer degrees of Velocity, or, if you will,
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greater degrees of Tardity, which interpoſe between the aſſigned
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degree, and the higheſt degree of Tardity, that is of Reſt, ſaid that
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God after he had created the Moveable Cœleſtial
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B
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odies that he
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might aſſign them thoſe Velocities wherewith they were afterwards </
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