[ « 4 « ] 
which may he made by thefe lines ; fuch that if, from their extremities which do 
jiot meet, right lines be drawn to the alternate angles of rbombi defcribed on 
them, and reciprocally applied to them when produced ; and from the faid angle 
through the interfe&ion of thefe lines, a right line be drawn to meet the right line 
joining the faid extremities ; the fegments of this line made thereby, fnall be 
refpe&ively equal to the adjacent fegments of the given lines, p. 76 — 78. III. To 
multiply the fquare of a given finite right line by any number, p. 75 — 81. IV. To 
lind a right line, the fquare on which fhall be equal to the fquare on a given right 
line, divided by any number, p. 81. V. To cut oft' from a given right line a part 
exprelled by any odd number, p. 82, 83. VI. To cut off from a given right line 
a part exprefled by any even number, p. 84, 85. VII. If from the angles at the 
bafe of any right lined triangle, right lines be drawn to the alternate angles of 
rhombi defcribed on the other two Tides, and reciprocally applied to them produced, 
and through the interfe&ion of thefe lines, a right line be drawn from the vertex to 
the bafe ; the re&angle contained by the fines of the angles at the extremities of 
one of the fides, will be equal to the re&angle contained by the fines of the angles 
at the extremities of the other; and the parallelepiped contained by the fines of 
the angles of one of thofe triangles, into which the original one is divided 
by the faid line drawn from the vertex, will be equal to the parallelopiped contained 
by the fines of the angles of the other, p. 85, 86. VIII. If from the angles at 
the hypotenufe of any right-angled right-lined triangle, right lines be drawn to 
the alternate angles of fquares defcribed on the fides containing the right angle, and 
from the point where the right line drawn from the right angle, through their 
interfe&ion, meets the hypotenufe, right lines be drawn to the points, where thefe 
lines meet the fides ; the lines fo drawn will make equal angles with the hypo- 
tenufe, and the right line drawn from the right angle to meet it; and will likevvife 
have to each other the proportion of the fides containing the right angle, p. 86 — 
89. IX. If from the angles of the bafe of any right ’lined triangle, right lines be 
drawn to the alternate angles of rhomboids defcribed on the other two fides, and 
reciprocally applied to them produced, a right line drawn from the vertex through 
the interfe&ion of thefe lines will cut the bafe into two parts, having to each 
other the proportion compounded of the proportion of the fides, and of the pro- 
portion of the other two lines comprehending the rhomboids, p. 89 — 91. 
Qi 
Quadrant eledrorr.tter , an account of one ufed with other apparatus, in experiments with 
an ele&rical kite, p. 407, 408. 
Quichftlver , crude, in a frigorific mixture of the vitriolic acid with fnow, frozen during 
the late frofi, p. 589. An account of the fucccfs of fome attempts to freeze Quick- 
filver at Albany Fort* in Hudfon’s Bay, p. 174. The thermometer at 28° below o, 
p. 175. An experiment made on it and a fpare tube with fnow and fp. nitri fumans 
itlauberi, ibid. Qnickfilver fubfided to 133 0 , ibid. To 263° \ry another mixture of 
5 . the 
