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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62. P2 - n2. m2 - P2.
63. P2 - n2: S2. any other.
64. m2 - P2: s2. any other.
65. m2 - P2: S2 + n2. any other.
66. P2 - n2: S2 + n2. any other.
67. P2 - n2. m.
68. m2 - P2. n.
69. P2 - n2: m2. any other.
70. m2 - P2: n2. any other.
71. P2 - n2. m - n.
72. m2 - P2. m - n.
73. P2 - n2: m2 + 2n2. any other.
74. Pxm - P x n: S2 + n2. any other.
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.
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.
77. S2: n2, or s2: m2. any other.
78. S2: s2 + n2, or s2: S2 + m2. any other.
79. S2: 2s2 + n2, or s2: 2S2 + m2. any other.
80. S + m. n, or s + n. m.
81. S2 + m2. n, or s2 + n2. m.
82. S2 + n2. m, or S2 + n2. n.
83. S2 + n2: s2 + n2. any other.

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