149[9]
Continuation of the Synopsis,
Containing ſuch Data as cannot readily be expreſſed by the
Symbols before uſed without more words at length.
Containing ſuch Data as cannot readily be expreſſed by the
Symbols before uſed without more words at length.
124.
IT is required to conſtruct an iſoceles triangle ſuch, as to have its equal legs
to a given line, and moreover ſuppoſing a circle inſcribed therein, and a di-
ameter thereof drawn parallel to the baſe, and continued to meet the equal legs;
ſuch line ſhall divide the area in a given ratio.
to a given line, and moreover ſuppoſing a circle inſcribed therein, and a di-
ameter thereof drawn parallel to the baſe, and continued to meet the equal legs;
ſuch line ſhall divide the area in a given ratio.
Rudd’s Prac.
Geom.
part 2d, qu.
46.
- Supp.
to Gent.
Diary, 1741, 1742, qu.
II.
125.
In a plane triangle, ABC, there is given the angle
26[Figure 26]
at C, and the parts or ſegments of the baſe AD, AE;
to conſtruct the triangle ſo, that if BD be drawn, the
angle ABD may be a maximum, and BC to EC in
a given ratio.
to conſtruct the triangle ſo, that if BD be drawn, the
angle ABD may be a maximum, and BC to EC in
a given ratio.
L.
Diary, 1773, qu.
659.
126.
V.
B.
Line from A or a to divide S or s in a given ratio.
Town and Coun.
Mag.
Dec.
1772.
127.
V.
B.
Difference of two lines from the angles at the baſe to the centre of the
inſcribed ☉(sun).
inſcribed ☉(sun).
*Simpſon’s Sel.
Ex.
pr.
18.
128.
V.
B.
Two lines from A and a meeting in a point O given in poſition, as alſo
the angle of a line from V to O with either of the ſides about the vertical angle.
the angle of a line from V to O with either of the ſides about the vertical angle.
Mis.
Cur.
Math.
qu.
107.
129.
V.
A point in B.
Rect.
of the ſegments of B made by that point.
Simp.
Sel.
Ex.
pr.
44.
130.
Poſition of a line through V.
B.
S - s.
Simp.
Sel.
Ex.
pr.
49.
131.
Poſition of a line through V.
B.
S, line biſect.
B, &
s in geometrical progreſſion.
Simp.
Sel.
Ex.
pr.
51.
132.
V.
S.
The angle of a line from extreme of S with the baſe, and ſegment of
s cut off thereby adjacent to the baſe.
s cut off thereby adjacent to the baſe.
*Mis.
Cur.
Math.
Vol.
II.
qu.
30.