Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

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        <div xml:id="echoid-div103" type="section" level="1" n="96">
          <pb o="[12]" file="0140" n="152"/>
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        <div xml:id="echoid-div105" type="section" level="1" n="97">
          <head xml:id="echoid-head116" xml:space="preserve">SYNOPSIS</head>
          <p>
            <s xml:id="echoid-s3161" xml:space="preserve">Of Data for Right-angled Triangles which have not yet
              <lb/>
            been conſtructed in general, the vertical angle being
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            ſuppoſed acute or obtuſe.</s>
            <s xml:id="echoid-s3162" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3163" xml:space="preserve">☞ The much greater part of theſe problems are purpoſely leſt without any reference.
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            </s>
            <s xml:id="echoid-s3164" xml:space="preserve">The Compiler has ſeen an Author from whom Conſtructions to them all may
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            be derived, but he forbears to name him, in order to leave them as Exerciſes
              <lb/>
            for young
              <emph style="sc">Geometricians</emph>
            .</s>
            <s xml:id="echoid-s3165" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">
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          1.
            <emph style="bf">H</emph>
          . H x P + P
            <emph style="sub">2</emph>
          .
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          2. H. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          .
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          3. H. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          .
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          4. H. S±m, or H. s±n.
            <lb/>
          5. H. S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          , or H. s
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          .
            <lb/>
          6. H. S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          .
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          7. H. m
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          .
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          8. H. l biſecting A or a. # Univer. Muſeum, July, 1767. - Ladies \\ Diary, 1772, qu. 633, Cor. - Mis. \\ Scient. Curioſa, pag. 196, Cor. II.
            <lb/>
          </note>
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