Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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them. </
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<
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>From the things premiſed I gather that the project ſwiftly
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ſwinged round by the projicient, in its ſeparating from it, doth
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tain an
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impetus
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of continuing its motion by the right line, which
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toucheth the circle deſcribed by the motion of the projicient in
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the point of ſeparation, by which motion the project goeth
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tinually receding from the centre of the circle deſcribed by the
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motion of the projicient.</
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The project
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veth by the
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gent of the circle of
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the motion
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dent in the point of
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ſeparation.
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>SALV. </
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>You know then by this time the reaſon why grave
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dies ſticking to the rim of a wheele, ſwiftly moved, are extruded
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and thrown beyond the circumference to yet a farther diſtance
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from the centre.</
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>SIMP. </
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>I think I underſtand this very well; but this new
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ledg rather increaſeth than leſſeneth my incredulity that the Earth
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can turn round with ſo great velocity, without extruding up into
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the sky, ſtones, animals,
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&c.
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>SALV. </
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>In the ſame manner that you have underſtood all this,
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you ſhall, nay you do underſtand the reſt: and with recollecting
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your ſelf, you may remember the ſame without the help of
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thers: but that we may loſe no time, I will help your memory
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therein. </
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<
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>You do already know of your ſelf, that the circular
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tion of the projicient impreſſeth on the project an
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impetus
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of
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ving (when they come to ſeparate) by the right Tangent, the
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circle of the motion in the point of ſeparation, and continuing
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long by the ſame the motion ever goeth receding farther and
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ther from the projicient: and you have ſaid, that the project
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would continue to move along by that right line, if there were not
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by its proper weight an inclination of deſcent added unto it; from
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which the incurvation of the line of motion is derived. </
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<
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>It ſeems
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moreover that you knew of your ſelf, that this incurvation
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ways bended towards the centre of the Earth, for thither do all
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grave bodies tend. </
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<
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>Now I proceed a little farther, and ask you,
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ther the moveable after its ſeparation, in continuing the right
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tion goeth always equally receding from the centre, or if you will,
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from the circumference of that circle, of which the precedent
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tion was a part; which is as much as to ſay, Whether a moveable,
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that forſaking the point of a Tangent, and moving along by the
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ſaid Tangent, doth equally recede from the point of contact, and
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from the circumference of the circle?</
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<
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>SIMP. No, Sir: for the Tangent near to the point of contact,
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recedeth very little from the circumference, wherewith it keepeth
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a very narrow angle, but in its going farther and farther
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off, the diſtance always encreaſeth with a greater proportion; ſo
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that in a circle that ſhould have
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v. </
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<
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>g.
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ten yards of diameter, a point
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of the Tangent that was diſtant from the contact but two palms,
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would be three or four times as far diſtant from the circumference </
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