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

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              <s>
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              which depart from two points marked upon another right line, are
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              then wider above than below, when the angles included between
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              them upon that right line are greater than two right angles; and
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              if theſe angles ſhould be equal to two right angles, the lines would
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              be parallels; but if they were leſs than two right angles, the lines
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              would be concurrent, and being continued out would
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              ly interſect the triangle.</s>
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            <p type="main">
              <s>SIMP. </s>
              <s>Without taking it upon truſt from you, I know the
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              ſame; and am not ſo very naked of
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              Geometry,
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              as not to know a
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              Propoſition, which I have had occaſion of reading very often in
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                <emph type="italics"/>
              Ariſtotle,
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              that is, that the three angles of all triangles are equall to
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              two right angles: ſo that if I take in my Figure the triangle ABE,
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              it being ſuppoſed that the line E A is right; I very well conceive,
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              that its three angles A, E, B, are equal to two right angles; and
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              that conſequently the two angles E and A are leſſe than two right
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              angles, ſo much as is the angle B. </s>
              <s>Whereupon widening the lines
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              A B and E B (ſtill keeping them from moving out of the points A
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              and E) untill that the angle conteined by them towards the parts
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              B, diſappear, the two angles beneath ſhall be equal to two right
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              angles, and thoſe lines ſhall be reduced to parallels: and if one
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              ſhould proceed to enlarge them yet more, the angles at the points
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              E and A would become greater than two right angles.</s>
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            <p type="main">
              <s>SALV. </s>
              <s>You are an
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              Archimedes,
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              and have freed me from the
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              expence of more words in declaring to you, that whenſoever the
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              calculations make the two angles A and E to be greater than two
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              right angles, the obſervations without more adoe will prove
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              neous. </s>
              <s>This is that which I had a deſire that you ſhould
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              ly underſtand, and which I doubted that I was not able ſo to make
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              out, as that a meer
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              Peripatetick
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              Philoſopher might attain to the
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              certain knowledg thereof. </s>
              <s>Now let us go on to what remains.
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              </s>
              <s>And re-aſſuming that which even now you granted me, namely,
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              that the new ſtar could not poſſibly be in many places, but in one
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              alone, when ever the ſupputations made upon the obſervations of
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              theſe Aſtronomers do not aſſign it the ſame place, its neceſſary
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              that it be an errour in the obſervations, that is, either in taking the
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              altitudes of the pole, or in taking the elevations of the ſtar, or in
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              the one or other working. </s>
              <s>Now for that in the many workings
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              made with the combinations two by two, there are very few of
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              the obſervations that do agree to place the ſtar in the ſame
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              tion; therefore theſe few onely may happily be the
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              ous, but the others are all abſolutely falſe.</s>
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            <p type="main">
              <s>SAGR. </s>
              <s>It will be neceſſary then to give more credit to theſe
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              few alone, than to all the reſt together, and becauſe you ſay,
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              that theſe which accord are very few, and I amongſt theſe 12,
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              do find two that ſo accord, which both make the diſtance of the </s>
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          </chap>
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