Book Notices. 299 
Boox Nortices.— ane 
1. The Mathematical Works of Isaac Barrow, D.D., Master of a 
College, Cambridge. Edited for Trinity College by W. es ay 
Master of the College. Cambridge, 1860. 754 pages, 8vo.—Thi 
in number, and were delivered in 1664, 5 
till 1685. ‘ ? 
After these, are given four lectures in which the oo. —— = 
expound the method by which Archimedes invented his 
cerning Cones and Spheres. ; 
In re Lectiones Opticae, eighteen in number, Dr. pon pt — Pes 
the theory of the foci of spherical surfaces st ee 3 6: P 
cause of the rainbow, simplifying Cartesius caic Sal i 
The | a hineeyertel daca ti niAies in number, first published in 1670, 
nee d tangents of 
are full of curious methods of determining the a Beatbe's nihodic 
given in Lect. X, Art. 14. This method is justly bh 
i 
: ; is this: 
_Barrow’s rule for finding the subtangent of a curve 18 
small ;) then put y for a and ¢ the subtangen 
Is found.” Barrow applies th 
Several curves, in which the 
In 1669, Newton showed to Dr. Barrow wsled Pen for the rectifica- 
method of fluxions was faintly indicated, and ru je ents to curves; an 
tion and quadrature of curves, and for draw'g ort. method from the 
it appears that Newton had been in possession 
ee Leibnitz communicated = vi ~ - 
e - ting to the dl erence 
bers of the Royal Society, certain researches relating important theorems 
eries. 
+ to Oldenburg, which was to be shown to 
