Salusbury, Thomas
,
Mathematical collections and translations (Tome I)
,
1667
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ſay, but do not well know how to expreſs my ſelf.</
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<
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>SALV. </
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>And I alſo perceive that you underſtand the buſineſs,
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but that you have not the proper terms, wherewith to expreſs the
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ſame. </
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<
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>Now theſe I can eaſily teach you; teach you, that is, as
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to the words, but not as to the truths, which are things. </
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<
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>And that
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you may plainly ſee that you know the thing I ask you, and onely
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want language to expreſs it, tell me, when you ſhoot a bullet out
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of a gun, towards what part is it, that its acquired
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impetus
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eth it?</
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<
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>SIMP. </
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<
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>Its acquired
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impetus
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carrieth it in a right line, which
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continueth the rectitude of the barrel, that is, which inclineth
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ther to the right hand nor to the left, nor upwards not
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wards.</
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>Which in ſhort is aſmuch as to ſay, it maketh no angle
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with the line of ſtreight motion made by the ſling.</
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<
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>SIMP. </
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<
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>So I would have ſaid.</
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<
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>SALV. </
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<
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>If then the line of the projects motion be to continue
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without making an angle upon the circular line deſcribed by it,
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whilſt it was with the projicient; and if from this circular motion it
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ought to paſs to the right motion, what ought this right line to be?</
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>SIMP. </
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<
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>It muſt needs be that which toucheth the circle in the
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point of ſeparation, for that all others, in my opinion, being
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longed would interſect the circumference, and by that means make
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ſome angle therewith.</
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>SALV. </
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<
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>You have argued very well, and ſhewn your ſelf half a
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Geometrician. </
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<
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>Keep in mind therefore, that your true opinion
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is expreſt in theſe words, namely, That the project acquireth an
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impetus
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of moving by the Tangent, the arch deſcribed by the
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motion of the projicient, in the point of the ſaid projects
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tion from the projicient.</
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<
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>SIMP. </
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<
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>I underſtand you very well, and this is that which I
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would ſay.</
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<
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>SALV. </
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<
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>Of a right line which toucheth a circle, which of its
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points is the neareſt to the centre of that circle?</
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<
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>SIMP. </
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<
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>That of the contact without doubt: for that is in the
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circumference of a circle, and the reſt without: and the points of
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the circumference are all equidiſtant from the centre.</
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<
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>SALV. </
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<
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>Therefore a moveable departing from the contact, and
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moving by the ſtreight Tangent, goeth continually farther and
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farther from the contact, and alſo from the centre of the circle.</
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<
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>SIMP. </
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<
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>It doth ſo doubtleſs.</
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<
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>SALV. </
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<
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>Now if you have kept in mind the propoſitions, which
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you have told me, lay them together, and tell me what you gather
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from them.</
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<
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>SIMP. </
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<
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>I think I am not ſo forgetful, but that I do remember </
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</
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