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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34. H2 + S2 + m2. H + m.
35. H2 + S2 + m2: H2 - m2. any other.
36. H2 + S2 + m2: H2 + 2m2. any other.
37. H2 + S2 + m2: P2. any other.
38. H2 + S2 + m2. S.
39. H2 + S2 + m2: s2. any other.
40. H2 + S2 + m2: 2S2 + m2. any other.
41. H2 + S2 + m2.: S2 + 2m2. any other.
42. H2 + S2 + m2: Sxn. any other.
43. H2 + S2 + m2. n.
44. H x S + S x m + S2. H + m.
45. H x S + S x m + S2. S.
46. H + m. H2 - m2.
47. H + m. P.
48. H + m. s.
49. H2 + 2m2: P2. any other.
50. H2±m2: S2. any other.
51. H2 - m2: S2 + 2m2. any other.
52. H2 - m2. n.
53. P. m2 + n2.
54. P2: m2±n2. any other.
55. P + m. n, or P + n. m.
56. P - n. m.
57. m - P. n.
58. P + m. m - n.
59. P + n. m - n.
60. P2 + s2: m2 - P2. any other.
61. P2 + s2: S2 + n2. any other.