Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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              <s>SALV. </s>
              <s>Neither doth this ſuffice, but its requiſite to know
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              cording to what proportion ſuch accelleration is made; a
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              blem, that I believe was never hitherto underſtood by any
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              loſopher or Mathematician; although Philoſophers, and
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              larly the
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              Peripateticks,
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              have writ great and entire Volumes,
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              touching motion.</s>
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              <s>SIMP. </s>
              <s>Philoſophers principally buſie themſelves about
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              ſals; they find the definitions and more common ſymptomes,
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              mitting certain ſubtilties and niceties, which are rather
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              ſities to the Mathematicians. </s>
              <s>And
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              Aristotle
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              did content himſelf
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              to deſine excellently what motion was in general; and of the
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              cal, to ſhew the principal qualities, to wit, that one is natural,
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              another violent; one is ſimple, another compound; one is
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              equal, another accellerate; and concerning the accelerate,
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              tents himſelf to give the reaſon of acceleration, remitting the
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              finding out of the proportion of ſuch acceleration, and other
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              particular accidents to the Mechanitian, or other inferiour
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              Artiſt.</s>
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              <s>SAGR. </s>
              <s>Very well
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              Simplicius.
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              But you
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              Salviatus,
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              when you
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              deſcend ſometimes from the Throne of
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              Peripatetick
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              Majeſty,
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              have you ever thrown away any of your hours in ſtudying to find
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              this proportion of the acceleration of the motion of deſcending
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              grave bodies?</s>
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              <s>SALV. </s>
              <s>There was no need that I ſhould ſtudy for it, in regard
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              that the Academick our common friend, heretofore ſhewed me a
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              Treatiſe of his ^{*}
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              De Motu,
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              where this, and many other
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                <arrow.to.target n="marg328"/>
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              dents were demonſtrated. </s>
              <s>But it would be too great a digreſſion,
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              if for this particular, we ſhould interrupt our preſent diſcourſe,
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              (which yet it ſelf is alſo no better than a digreſſion) and make as
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              the Saying is, a Comedy within a Comedy.</s>
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            <p type="margin">
              <s>
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              This is that
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              cellent tract which
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              we give the firſt
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              place in our ſecond
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              Volume.</s>
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              <s>SAGR. </s>
              <s>I am content to excuſe you from this narration for the
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              preſent, provided that this may be one of the Propoſitions
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              ved to be examined amongſt the reſt in another particular meeting,
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              for that the knowledg thereof is by me very much deſired; and
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              in the mean time let us return to the line deſcribed by the grave
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              body in its fall from the top of the Tower to its baſe.</s>
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              <s>SALV. </s>
              <s>If the right motion towards the centre of the Earth was
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              uniforme, the circular towards the Eaſt being alſo uniforme, you
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              would ſee compoſed of them both a motion by a ſpiral line, of
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              that kind with thoſe defined by
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              Archimedes
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              in his Book
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              Dc
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              libus
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              ; which are, when a point moveth uniformly upon a right
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              line, whileſt that line in the mean time turneth uniformly about
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              one of its extreme points fixed, as the centre of his gyration.
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              </s>
              <s>But becauſe the right motion of grave bodies falling, is
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              ally accelerated, it is neceſſary, that the line reſulting of the </s>
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          </chap>
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