Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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<
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>LEMMA.</
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That the Moments or Velocities of the ſame Moveable are different
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upon different Inclinations of Planes, and the greateſt is by the
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Line elevated perpendicularly above the Horizon, and by the
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others inclined, the ſaid Velocity diminiſheth according as they
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more and more depart from Perpendicularity, that is, as they in
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cline more obliquely: ſo that the Impetus, Talent, Energy, or, we
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may ſay, Moment of deſcending is diminiſhed in the Moveable by
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the ſubjected Plane, upon which the ſaid Moveable lyeth and
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deſcendeth.
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>And the better to expreſs my ſelf, let the Line A B be perpen
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dicularly erected upon the Horizon A C: then ſuppoſe the
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ſame to be declined in ſundry Inclinations towards the Horizon, as
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in A D, A E, A F,
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&c.
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I ſay, that the greateſt and total
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Impetus
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of the Grave Body in deſcending is along the Perpendicular B A,
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and leſs than that along D A,
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and yet leſs along E A; and
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ſucceſſively diminiſhing along
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the more inclined F
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A,
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and fi
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nally is wholly extinct in the
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Horizontal C
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A,
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where the
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Moveable is indifferent either
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to Motion or Reſt, and hath not
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of it ſelf any Inclination to
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move one way or other, nor yet
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any Reſiſtance to its being mo
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ved: for as it is impoſſi
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ble that a Grave Body, or a
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Compound thereof ſhould move naturally upwards, receding from
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the Common Center, towards which all Grave Matters conſpire
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to go, ſo it is impoſſible that it do ſpontaneouſly move, unleſs
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with that Motion its particular Center of Gravity do acquire Proxi
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mity to the ſaid Common Center: ſo that upon the Horizontal
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which here is underſtood to be a Superficies equidiſtant from the
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ſaid Center, and therefore altogether void of Inclination, the
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Im
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petus
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or Moment of that ſame Moveable ſhall be nothing at all.
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<
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>Having underſtood this mutation of
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Impetus,
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I am to explain that
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which, in an old Treatiſe of the Mechanicks, written heretofore
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in
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Padona
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by our
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Academick,
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only for the uſe of his Scholars, was
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diffuſely and demonſtratively proved, upon the occaſion of con
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ſidering the Original and Nature of the admirable Inſtrument cal
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led the Screw, and it is, With what proportion that mutation of </
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