888 
Mistery. be rectified by means of two elliptic ares. This theorem 
—y— 
Agnesi, 
1D’ Alem- 
integral calculus. And an 
een eae to elliptic 
arcs all fluents had = 
lished in 1748. A mathematician ar antes 
ume of it in 
lish mathematician, Mr 
Colson, (who translated Newton's Fluxions), translated 
it also into ish, having studied the Italian language 
at an adv iod of life, for the express purpose 
of making himself master of the work, The historian 
Frisi, who has himself excelled so much both in 
mixed mathematics, calls her work Opus nitidissimum, 
7 issi et certe maximum adhuc ex fie- 
mine alicujus calamo proderat, For an account of this 
, see AGNES. 
invention of the Arithmetic of Sines, which is 
due to Euler, has contributed ly to the improve- 
ment of the calculus, and to its cation to the phy- 
sico-mathematical sciences. to Euler we are 
‘Fontaine and Clairaut; this was about the year 1739 
or 1740. 
The method of Partial Differen ces, one of the great- 
est i vements in the calculus, was the invention of 
D’ Alembert, who found it when he was inquiring into 
ly little increments, (infiniment petits). 
have been ur, It has 
been said, that is an idea quite foreign to pure 
roathematics, and therefore it ought not to be employed 
establishing its doctrines ; and still objec- 
ous countryman, Mr Landen, proposed to la: the 
consideration of motion in ini : and, 
instead of the Newtonian theory, he to sub- 
stitute another, which he called the A is: 
this was about the year 1760, tiie patho bos eens, 
FLUXIONS. 
followed, but his candour in i 7 
tional prejudice in favour of 's method, has 
procured him the approbation of foreign mathematici- 
ans. : : 
i) 
in 1792, and; at » later period, 
cons sur le calcul des Fonctions. These works 
quadratura 
ed along with his Optics in 1704; also 
treatise De Analysi, &c. by Jones, 1711.0 
Newton, ae Lib. II, Sect. I. Lem. 2, 1687. 
ary The Method of Fluxions and Infinite Series, 
Leibnitz, Nova methodus pro mazimis et minimis items 
foo 
story is contain- 
ed in the Commercium Epistolicum de varia re Mathe- 
matica inter celeberrimos praesentis seculi Mathematicos, 
1 
—_—— 
Lagrange. 
Waring. 
List of wri- 
ters on 
fluxions. 
