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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66[i]
ADVERTISEMENT.
SINCE the publication of the preceding Tract on
Tangencies, the Tranſlator thereof has obſerved,
that thoſe pieces of Willebrordus Snellius, which he
mentioned in his Preface thereto, are exceeding ſcarce
in England. His Reſuſcitata Geometria de ſectione rationis
& ſpatii, 1607, he has never once had an opportunity
of ſeeing; but ſuppoſing this ſhould in a ſhort time be
loſt, more than ample amends is made by what
Dr. Halley has done on the ſame ſubject. Leſt the
other Tract, De Sectione Determinatâ, ſhould undergo
the ſame fate with the original Apollonius, he was
determined to reſcue it therefrom, or reſpite it at leaſt
for ſome time, by putting it into an Engliſh dreſs.
While he was doing this, he happened to communicate
the piece to ſome friends; one of whom has ventured,
after Snellius, on this ſubject, and he preſumes with ſome
ſucceſs, as every Reader will allow, when he peruſes the
Propoſitions here printed after thoſe of Snellius. Yet,
notwithſtanding this, the Editor perſiſted in his reſolu-
tion of printing his tranſlation of Snellius, as the

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