72 
E Q_U 
Extract of a letter containing a commod 
difpofition of equations fo exhibiting the rela- 
tions of goniometrical lines - j 
The application of Dr. Saunderfon’s theorem 
for folving unlimited equations to a curious 
queftion in chronology - H° rs j 
Directions for making a machine for finding the 
roots of equations univerfally; with the man- 
ner of ufing it - Row 
A method of extending Cardan’s rule for refolv- 
p 
ing one, cafe of a cubic equation x z — qx — r to 
the other cafe of the fame equation, which it 
is not naturally fitted to folve, and which is 
therefore called the irreducible cafe Maferes 
Appendix - - Maferes 
A conjecture concerning the method by which 
Cardan’s rules for refolving the cubic equation 
qx ~r in all cafes (or in all magnitudes 
of the known quantities q and r) and the cubic 
equation x z — - qx zz r in the firft cafe of it (or 
• - , 2Q */ q rr . 
wnen r is greater than -1 — or — is greater 
3 ^3 4 
. than ?—,) were probably difcovered by Scipio 
27 
Ferreus of Bononia, or whoever clfe was the 
firft inventor of them - Maferes 
— ^ — Of cubic equations and infinite feries Hutton 
Equation of Time. Some remarks upon the equa- 
tion of time, and the true manner of comput- 
ing it - - Mafkelyne 
Equator. A refolution of a general propofition for de- 
termining the horary alteration of the pofition 
of the, terrefi rial equator from the attraction of 
the fun and moon ; with fome remarks on the 
folutions given by other authors to that difficult 
-and important problem - Simpfon 
- Piopofal of a method for rneafuring degrees of 
longitude upon parallels of the equator Michell 
Equatorial Telescope. The defcription and ufes 
of an equatorial telefcope - Short 
Defcription and ufe of a new-conftru£ted 
equatorial telefcope, or portable obfervatory 
Nairne 
T ranf. 
Absidg. 
XL 463 
Fill 1 
XLIV 560 
X 14 
LVill 100 
LX 240 
LX VIII 902 
LXX 85 
LXX 221 
— 3 S 7 
L 1 V 336 
L 416 
LVI 1 19 
XLVI 241 
~ i 54 
LXf 107 
An 
