C 2260 ) 
II, LeUiones 13. GEOllETl{ICjEJn qaibus (prafertim) Gemralta 
L WEAKVU CVFJ^ARVM Symptomata declarantur ah eodem 
Ifaaco 'Barrow,<^(:. Impenfis ejnfdem Bibliopola^^in 4^. 
GOneerning the Geometrical LeBures^ arguing great depth 
in the Mathematical Learning, 
In the firjl of them, in order to what fo4ows afterward con- 
cerning the Generation of Magnitudes^ the Deferving Author 
treateth about the Nature of as it may be confidered in 
Mathematical fuppofitions about fuch Generations. 
In the fccond arc declared the Mathematical Hypothefeszhoxxt 
fimple Motions (progreffive and Circular,) which ferve to the 
Production of Magnitudes, together with feme general re- 
marks, about the natures, dimenfions, and properties Cconfe» 
quenton fuch produdlions) of Magnitudes. There is alfo a 
touch about the Method of Indivijibles^ explicating, how in 
fome cafes itisto beunderftood andapplyed* 
The third tcezts about the Generation of Magnitudes by com* 
pofition and coneourfe of motions. 
I n the fourth and fijtb, from one generation propounded of 
Curve lines, (fuppofing them produced by two motions, one 
uniform,the other accelerated) divers Theorems are inferr'd, 
implying fo many general properties of Curvelines. 
The next y^i^^ Leftures do contain many Theorems , and 
Problems about readily determining the Tangents of Curve 
Liuesjimmediatly by them, without other <:omputation i par- 
ticularly, there are divers fingle Theorems, whereby the Tan- 
gents of all Curves commonly known or confidered in Geome* 
try (thQ Conical SeBionsy Conchoids, CiJJdids, Spirals, ^adratrices^ 
&CC.) are determined in ways fogeneraljas to comprehend alfo 
the like determination of Tangents in regard to innumerable 
other Curves^^enerated in a common manner with them^ Of 
thofe five Leftures the two firft are Lemmatical^ or preparatory 
to the Demonftration of the propofitions delivered in the other 
three ; wherein yet there be iomtTheoremf not unpleafant. In 
the tenth is delivered a general Analytical method of determin* 
ing Tangents^extending to all forts of Curve lines, both Geome^ 
tncal and Mechanical (as Monfieur Des-Cartes diftinguiflieth.) 
The eleventh Lecture contaiueth feveral general Theorems, 
about 
