Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667
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              amongſt thoſe who know nothing thereof. </s>
              <s>Now to ſhew you how
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              great their errour is who ſay, that a Sphere
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              v.g.
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              of braſſe, doth not
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              touch a plain
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              v.g.
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              of ſteel in one ſole point, Tell me what
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              ceipt you would entertain of one that ſhould conſtantly aver, that
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              the Sphere is not truly a Sphere.</s>
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              <s>
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              The truth
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              ſometimes gaines
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              ſtrength by
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              tradiction.
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              </s>
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              <s>SIMP. </s>
              <s>I would eſteem him wholly devoid of reaſon.</s>
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              <s>SALV. </s>
              <s>He is in the ſame caſe who ſaith that the material Sphere
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              doth not touch a plain, alſo material, in one onely point; for to
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              ſay this is the ſame, as to affirm that the Sphere is not a Sphere.
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              </s>
              <s>And that this is true, tell me in what it is that you conſtitute the
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              Sphere to conſiſt, that is, what it is that maketh the Sphere differ
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              from all other ſolid bodies.</s>
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              <s>
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              The sphere
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              though material,
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              toucheth the
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              rial plane but in
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              one point onely.
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              </s>
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              <s>SIMP. </s>
              <s>I believe that the eſſence of a Sphere conſiſteth in
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              ving all the right lines produced from its centre to the
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              rence, equal.</s>
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              The definition of
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              the ſphere.
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              <s>SALV. </s>
              <s>So that, if thoſe lines ſhould not be equal, there ſame
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              ſolidity would be no longer a ſphere?</s>
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              <s>SIMP. True.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>Go to; tell me whether you believe that amongſt the
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              many lines that may be drawn between two points, that may be
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              more than one right line onely.</s>
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              <s>SIMP. </s>
              <s>There can be but one.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>But yet you underſtand that this onely right line ſhall
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              again of neceſſity be the ſhorteſt of them all?</s>
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              <s>SIMP. </s>
              <s>I know it, and alſo have a demonſtration thereof,
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              duced by a great
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              Peripatetick
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              Philoſopher, and as I take it, if my
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              memory do not deceive me, he alledgeth it by way of reprehending
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              Archimedes,
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              that ſuppoſeth it as known, when it may be
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              ſtrated.</s>
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              <s>SALV. </s>
              <s>This muſt needs be a great Mathematician, that knew
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              how to demonſtrate that which
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              Archimedes
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              neither did, nor could
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              demonſtrate. </s>
              <s>And if you remember his demonſtration, I would
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              gladly hear it: for I remember very well, that
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              Archimedes
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              in his
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              Books,
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              de Sphærà & Cylindro,
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              placeth this Propoſition amongſt the
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              Poſtulata
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              ; and I verily believe that he thought it demonſtrated.</s>
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              <s>SIMP. </s>
              <s>I think I ſhall remember it, for it is very eaſie and
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              ſhort.</s>
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              <s>SALV. </s>
              <s>The diſgrace of
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              Archimedes,
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              and the honour of this
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              loſopher ſhall be ſo much the greater.</s>
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              <s>SIMP. </s>
              <s>I will deſcribe the Figure of it. </s>
              <s>Between the points
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              A and B, [
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              in Fig.
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              5.] draw the right line A B, and the curve line
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              A C B, of which we will prove the right to be the ſhorter: and
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              the proof is this; take a point in the curve-line, which let be C,
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              and draw two other lines, A C and C B, which two lines together;
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              are longer than the ſole line A B, for ſo demonſtrateth
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              Euelid.
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              </s>
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          </chap>
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