Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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turn round, ſtaying there above, and moving along with the
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urnal converſion. </
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<
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>Now I tell him, that that ſame ball falling from
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the concave unto the centre, will acquire a degree of velocity
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much more than double the velocity of the diurnal motion of the
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Lunar concave; and this I will make out by ſolid and not
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tinent ſuppoſitions. </
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<
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>You muſt know therefore that the grave
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body falling and acquiring all the way new velocity according
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to the proportion already mentioned, hath in any whatſoever
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place of the line of its motion ſuch a degree of velocity, that if it
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ſhould continue to move therewith, uniformly without farther
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encreaſing it; in another time like to that of its deſcent, it would
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paſſe a ſpace double to that paſſed in the line of the precedent
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motion of deſcent. </
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<
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>And thus for example, if that ball in coming
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from the concave of the Moon to its centre hath ſpent three hours,
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22 min.
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prim.
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and 4 ſeconds, I ſay, that being arrived at the
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tre, it ſhall find it ſelf conſtituted in ſuch a degree of velocity, that
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if with that, without farther encreaſing it, it ſhould continue to
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move uniformly, it would in other 3 hours, 22 min.
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prim.
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and
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4 ſeconds, paſſe double that ſpace, namely as much as the whole
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diameter of the Lunar Orb; and becauſe from the Moons
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cave to the centre are 196000 miles, which the ball paſſeth in 3
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hours 22
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prim.
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min. </
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<
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>and 4 ſeconds, therefore (according to what
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hath been ſaid) the ball continuing to move with the velocity
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which it is found to have in its arrival at the centre, it would
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paſſe in other 3 hours 22 min. </
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<
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>prim. </
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<
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>and 4 ſeconds, a ſpace
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ble to that, namely 392000 miles; but the ſame continuing in
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the concave of the Moon, which is in circuit 1232000 miles, and
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moving therewith in a diurnal motion, it would make in the ſame
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time, that is in 3 hours 22 min. </
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<
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>prim. </
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<
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>and 4 ſeconds, 172880
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miles, which are fewer by many than the half of the 392000
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miles. </
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<
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>You ſee then that the motion in the concave is not as the
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modern Author ſaith, that is, of a velocity impoſſible for the
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ing ball to partake of,
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&c.
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The falling
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able if it move with
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a degree of
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ty acquired in a
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like time with an
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uniform motion, it
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ſhall paß a ſpace
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double to that
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ſed with the
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leratedmotion.
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<
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>SAGR. </
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<
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>The diſcourſe would paſs for current, and would give
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me full ſatisfaction, if that particular was but ſalved, of the
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ving of the moveable by a double ſpace to that paſſed in falling
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in another time equal to that of the deſcent, in caſe it doth continue
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to move uniformly with the greateſt degree of velocity acquired
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in deſcending. </
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<
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>A propoſition which you alſo once before
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ſed as true, but never demonſtrated.</
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<
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>SALV. </
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<
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>This is one of the demonſtrations of
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Our Friend,
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and
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you ſhall ſee it in due time; but for the preſent, I will with ſome
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conjectures (not teach you any thing that is new, but) remember you
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of a certain contrary opinion, and ſhew you, that it may haply ſo be.
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<
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>A bullet of lead hanging in a long and fine thread faſtened to the </
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