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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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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