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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[61.] THE PREFACE.
Page: 70 ([v])
[62.] PROBLEMS CONCERNING DETERMINATE SECTION. PROBLEM I.
Page: 78
[63.] LEMMA I.
Page: 79 ([2])
[64.] LEMMA II.
Page: 80 ([3])
[65.] LEMMA III.
Page: 80 ([3])
[66.] PROBLEM II.
Page: 80 ([3])
[67.] LEMMA IV.
Page: 83 ([6])
[68.] LEMMA V.
Page: 83 ([6])
[69.] PROBLEM III.
Page: 84 ([7])
[70.] PROBLEM IV.
Page: 86 ([9])
[71.] DETERMINATE SECTION. BOOK I. PROBLEM I. (Fig. 1.)
Page: 92 ([15])
[72.] PROBLEM II. (Fig. 2 and 3.)
Page: 93 ([16])
[73.] PROBLEM III. (Fig. 4. and 5.)
Page: 94 ([17])
[74.] PROBLEM IV. (Fig. 6. 7. and 8.)
Page: 95 ([18])
[75.] PROBLEM V. (Fig. 9. 10. 11. 12. 13. 14. 15. 16.)
Page: 96 ([19])
[76.] PROBLEM VI. (Fig. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26.)
Page: 98 ([21])
[77.] THE END OF BOOK I.
Page: 102 ([25])
[78.] DETERMINATE SECTION. BOOK II. LEMMA I.
Page: 103 ([26])
[79.] LEMMA II.
Page: 103 ([26])
[80.] LEMMA III.
Page: 104 ([27])
[81.] LEMMA IV.
Page: 105 ([28])
[82.] LEMMA V.
Page: 106 ([29])
[83.] PROBLEM VII. (Fig. 32, 33, 34, &c.)
Page: 108 ([31])
[84.] PROBLEM I. (Fig. 32 to 45.)
Page: 109 ([32])
[85.] PROBLEM II. (Fig. 46 to 57.)
Page: 113 ([36])
[86.] PROBLEM III.
Page: 116 ([39])
[87.] THE END.
Page: 117 ([40])
[88.] A SYNOPSIS OF ALL THE DATA FOR THE Conſtruction of Triangles, FROM WHICH GEOMETRICAL SOLUTIONS Have hitherto been in Print.
Page: 133
[89.] By JOHN LAWSON, B. D. Rector of Swanscombe, in KENT. ROCHESTER:
Page: 133
[90.] MDCCLXXIII. [Price One Shilling.]
Page: 133
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153[13]11
9. H2: S x s. Any other datum.
10. H2: S2 + m2, or H2: s2 + n2. any other.
11. H + P. H x P.
12. H + P. H x P + P2.
13. H + P. S2 + n2.
14. H + P. m2 + n2.
15. H x P + P2. P.
16. H x P: S2 + n2. any other.
17. H x P + P2: S2 + n2. any other.
18. {1/2}H - P. S - s. # Turner’s Math. Ex. pr. 37.
19. H±S. m, or H±s. n.
20. H + S. n, or H + s. m.
21. H2 + S2: P2, or H2 + s2: P2. any other.
22. H2 + S2: S2 + m2, or H2 + s2: s2 + n2. any other.
23. H2 + S2. m, or H2 + s2. n.
24. H2 + S2. n, or H2 + s2. m.
25. H2 + S2: m2, or H2 + s2: n2. any other.
26. H x S. s. or Hxs. S. # D’Omerique L. III. pr. 37. - Vieta Geo. \\ Eff. pr. 18. - Oughtred, ch. 19, pr. \\ 25. - Herigon Geo. planæ, pr. 9. - \\ Schooten, pr. 38.
27. H x S: s2, or H x s: S2. any other
28. H + S + m. H2 + S2 + m2.
29. H + S + m. H x S + S x m + S2.
30. H + S + m. H x S + S x m.
31. H + S + m. H2 + m2.
32. H2 + S2 + m2: H x S + S x m. any other.
33. H2 + S2 + m2: H x S + S x m + S2. any other.

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