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

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 contents

[31.] PROBLEM II.

Page: 26 ((14))

[32.] PROBLEM III.

Page: 26 ((14))

[33.] PROBLEM IV.

Page: 28 ((16))

[34.] PROBLEM V.

Page: 28 ((16))

[35.] PROBLEM VI.

Page: 29 ((17))

[36.] General Solution.

Page: 29 ((17))

[37.] A SECOND SUPPLEMENT, BEING Monſ. DE FERMAT’S Treatiſe on Spherical Tangencies. PROBLEM I.

Page: 31 ((19))

[38.] PROBLEM II.

Page: 32 ((20))

[39.] PROBLEM III.

Page: 33 ((21))

[40.] PROBLEM IV.

Page: 33 ((21))

[41.] PROBLEM V.

Page: 34 ((22))

[42.] PROBLEM VI.

Page: 34 ((22))

[43.] PROBLEM VII.

Page: 35 ((23))

[44.] LEMMA I.

Page: 36 ((24))

[45.] LEMMA II.

Page: 36 ((24))

[46.] LEMMA III.

Page: 36 ((24))

[47.] LEMMA IV.

Page: 37 ((25))

[48.] LEMMA V.

Page: 37 ((25))

[49.] PROBLEM VIII.

Page: 38 ((26))

[50.] PROBLEM IX.

Page: 39 ((27))

[51.] PROBLEM X.

Page: 39 ((27))

[52.] PROBLEM XI.

Page: 39 ((27))

[53.] PROBLEM XII.

Page: 40 ((28))

[54.] PROBLEM XIII.

Page: 40 ((28))

[55.] PROBLEM XIV.

Page: 40 ((28))

[56.] PROBLEM XV.

Page: 40 ((28))

[57.] Synopſis of the PROBLEMS.

Page: 41 ((29))

[58.] THE TWO BOOKS OF APOLLONIUS PERGÆUS, CONCERNING DETERMINATE SECTION, As they have been Reſtored by WILLEBRORDUS SNELLIUS. By JOHN LAWSON, B. D. Rector of Swanſcombe, Kent. TO WHICH ARE ADDED, THE SAME TWO BOOKS, BY WILLIAM WALES, BEING AN ENTIRE NEW WORK. LONDON: Printed by G. BIGG, Succeſſor to D. LEACH. And ſold by B. White, in Fleet-Street; L. Davis, in Holborne; J. Nourse, in the Strand; and T. Payne, near the Mews-Gate. MDCC LXXII.

[59.] ADVERTISEMENT.

[60.] EXTRACT from PAPPUS's Preface to his Seventh Book in Dr. HALLEY's Tranſlation. DE SECTIONE DETERMINATA II.

Page: 68 ([iii])

142[2]11
# Clavis, ch. 19, pr. 24. - *Vieta Geo. Eff. pr. 20. - *Herigon \\ App. Geo. planæ, pr. 10. - *Rudd’s Pract. Geom. part 2d, \\ qu. 47. - *Palladium, 1754, pa. 22.
10. V. B. Per. # Reducible to V. B. S + s.
11. V. B. L. # Simpſon’s Alg. pr. 72. - Simp. Geom. pr. 21.
12. V. B. λ. # *Simpſon’s Alg. pr. 58. - *Ghetaldus var. prob. 3. - Regio - \\ montanus de triangulis, Lib. II. pr. 29.
13. V. B. Direction \\ of l thro’ V. # }Simpſon’s Sel. Ex. pr. 48.
14. V. B. R. # *Simpſon’s Sel. Ex. pr. 29. - Br. Oracle, qu. 67, Cor. - \\ *Weſt’s Mathematics, 2d. Ed. pag. 45.
15. V. B. Side of \\ ins. ◻. # }Mathematician, pr. 25. - Br. Oracle, qu. 19.
16. V. B: P. S±s. # Brit. Oracle, qu. 31.
17. V. B±P. S±s. # Arith. Un. Caſtillionei, pr. 7. - *Simpſon’s Sel. Ex. pr. 31. - \\ *Simpſon’s Alg. Iſt. Ed. pr. 81.
18. V. B±P. Ar. # *Turner’s Math. Ex. pr. 18.
19. V. B±S. s. # Ghetaldus var. prob. 16, 17. - *Idem, 10, II. - Idem de \\ Res. &. Comp. Lib. V. cap. 4, pr. 7, 8. - *Anderſon var. prob. 2; \\ - *Simp. Sel. Ex. pr. 1. - Twyſden in Foſter’s Miſcell. pr. I. \\ - Renaldinus pag. 526, 529, *437. - *Mathematician, pr. \\ 42. - *Aſhby’s Alg. pr. 31, 32. - and in other places.
20. V. B±S. S±s. # Br. Oracle, qu. 102. - *Court Mag. Nov. 1761. - L. Diary, \\ qu. 661. - *Hutton’s L. Diary, qu. 147.
21. V. B±S. B±s. # *Clavius’s Euclid at end of B. II. - *Ghetaldus var. prob. 23. \\ - *Schooten pr. 37. - *Oughtred ch. 19, pr. 17. - *Saun - \\ derſon, art. 327. - *Anderſon var. prob. 15, 16. - *L. Diary, \\ 1770, p. 35.
22. V. B2: m2. P. # *Mis. Scient. Cur. qu. 54.

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