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.
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.
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.
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.
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.
for n, though this be not expreſſed as in others.
FINIS.
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