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

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[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
[91.] ADVERTISEMENT.
Page: 135
[92.] AN EXPLANATION OF THE SYMBOLS made uſe of in this SYNOPSIS.
Page: 137
[93.] INDEX OF THE Authors refered to in the SYNOPSIS.
Page: 139 ([i])
[94.] Lately was publiſhed by the ſame Author; [Price Six Shillings in Boards.]
Page: 140 ([ii])
[95.] SYNOPSIS.
Page: 141 ([1])
[96.] Continuation of the Synopsis, Containing ſuch Data as cannot readily be expreſſed by the Symbols before uſed without more words at length.
Page: 149 ([9])
[97.] SYNOPSIS
Page: 152 ([12])
[98.] FINIS.
Page: 156 ([16])
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156[16]11
84. S2 + n2. m - n.
85. S2 + n2: m2 - n2. any other.
86. S2 + n2: m2 + 2n2. any other.
87. s2 + n2: m2 - n2. any other.
88. m - n. m2 - n2.
89. Ar. Sides in arithmetical progreſſion.
Simp. Alg. pr. 36. - Simp. Sel. Ex. pr. 45.
90. Ar. Sides in geom. progreffion.
Wolfiu’s Alg. pr. 114. - Simps. Sel. Ex. pr.
46. - Vieta Iſt. App. to Apoll. Gallus, pr. 7.
91. Per. Sides in geom. progreſſion.
Simps. Alg. pr. 39.
92. I biſecting an acute angle. I from right angle biſecting the foregoing given line.
Gent. Diary, qu. 266.
93. H. Part of S adjacent to the right angle intercepted by a perpendicular to H
from middle of H.
L. Diary, qu. 633.
94. One leg and a line parallel thereto intercepted by the hypothenuſe and
the other leg being given; to determine the triangle ſuch, that the rectangle un-
der the hypothenuſe and a line from the acute angle, adjacent to the given leg,
to the point of interſection of the parallel and the other leg may be of a given
magnitude.
L. Diary. qu. 648.
N. B. In all the Nos. from 28 to 52 incluſive, S may be changed for s, and m
for n, though this be not expreſſed as in others.

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