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

Table of Notes

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            <lb/>
          62. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          . m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          .
            <lb/>
          63. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          64. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          : s
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          65. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          66. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          67. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          . m.
            <lb/>
          68. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          . n.
            <lb/>
          69. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          : m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          70. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          : n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          71. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          . m - n.
            <lb/>
          72. m
            <emph style="sub">2</emph>
          - P
            <emph style="sub">2</emph>
          . m - n.
            <lb/>
          73. P
            <emph style="sub">2</emph>
          - n
            <emph style="sub">2</emph>
          : m
            <emph style="sub">2</emph>
          + 2n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          74. Pxm - P x n: S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          75. S. n, or s. m # Oughtred ch. 19, pr. II. - Ronayne’s Alg. \\ B. II. ch. 2, pr. I - Ghetaldus var. prob. 19. \\ - Idem de Res. & Comp. L. III. pr. 2. - \\ Renaldinus. pag. 518.
            <lb/>
          76. S. m - n, or s. m - n. # Oughtred ch. 19, pr. 8. - D’Omerique, L. \\ III. pr. 24. - Renaldinus, pag. 412. - Ghe- \\ taldus var. prob. 18. - Idem de Res. & Comp. \\ L. III. pr. I. - Foſter’s Math. Lug. pr. 18.
            <lb/>
          77. S
            <emph style="sub">2</emph>
          : n
            <emph style="sub">2</emph>
          , or s
            <emph style="sub">2</emph>
          : m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          78. S
            <emph style="sub">2</emph>
          : s
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          , or s
            <emph style="sub">2</emph>
          : S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          79. S
            <emph style="sub">2</emph>
          : 2s
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          , or s
            <emph style="sub">2</emph>
          : 2S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          80. S + m. n, or s + n. m.
            <lb/>
          81. S
            <emph style="sub">2</emph>
          + m
            <emph style="sub">2</emph>
          . n, or s
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . m.
            <lb/>
          82. S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . m, or S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . n.
            <lb/>
          83. S
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          : s
            <emph style="sub">2</emph>
          + n
            <emph style="sub">2</emph>
          . any other.
            <lb/>
          </note>
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