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

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              of the circle, as a point that was diſtant from the contaction one
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              palm, and the point that was diſtant half a palm, I likewiſe believe
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              would ſcarſe recede the fourth part of the diſtance of the ſecond:
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              fo that within an inch or two of the contact, the ſeparation of the
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              Tangent from the circumference is ſcarſe diſcernable.</s>
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              <s>SALV. </s>
              <s>So that the receſſion of the project from the
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              rence of the precedent circular motion is very ſmall in the
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              ing?</s>
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              <s>SIMP. </s>
              <s>Almoſt inſenſible.</s>
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              <s>SALV. </s>
              <s>Now tell me a little; the project, which from the
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              tion of the projicient receiveth an
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              impetus
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              of moving along the
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              Tangent in a right line, and that would keep unto the ſame, did
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              not its own weight depreſs it downwards, how long is it after the
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              ſeparation, ere it begin to decline downwards.</s>
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              <s>SIMP. </s>
              <s>I believe that it beginneth preſently; for it not
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              ving any thing to uphold it, its proper gravity cannot but
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              A grave project,
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              as ſoon as it is
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              parated from the
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              projicient begineth
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              to decline.
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              </s>
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              <s>SALV. </s>
              <s>So that, if that ſame ſtone, which being extruded from
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              that wheel turn'd about very faſt, had as great a natural
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              ſion of moving towards the centre of the ſaid wheel, as it hath to
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              move towards the centre of the Earth, it would be an eaſie
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              ter for it to return unto the wheel, or rather not to depart from it;
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              in regard that upon the begining of the ſeparation, the receſſion
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              ing ſo ſinall, by reaſon of the infinite acuteneſs of the angle of
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              contact, every very little of inclination that draweth it back
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              wards the centie of the wheel, would be ſufficient to retain it
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              on the rim or circumference.</s>
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            <p type="main">
              <s>SIMP. </s>
              <s>I queſtion not, but that if one ſuppoſe that which
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              ther is, nor can be, to wit, that the inclination of thoſe grave
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              dies was to go towards the centre of the wheel, they would never
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              come to be extruded or ſhaken off.</s>
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              <s>SALV. </s>
              <s>But I neither do, nor need to ſuppoſe that which is not;
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              for I will not deny but that the ſtones are extruded. </s>
              <s>Yet I ſpeak
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              this by way of ſuppoſition, to the end that you might grant me
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              the reſt. </s>
              <s>Now fancy to your ſelf, that the Earth is that great
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              wheel, which moved with ſo great velocity is to extrude the ſtones.
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              </s>
              <s>You could tell me very well even now, that the motion of
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              ction ought to be by that right line which toucheth the Earth in
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              the point of ſeparation: and this Tangent, how doth it notably
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              recede from the ſuperficies of the Terreſtrial Globe?</s>
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              <s>SIMP. </s>
              <s>I believe, that in a thouſand yards, it will not recede
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              from the Earth an inch.</s>
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              <s>SALV. </s>
              <s>And did you not ſay, that the project being drawn by
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              its own weight, declineth from the Tangent towards the centre of
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              the Earth?</s>
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          </chap>
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