[ P5 ] 
yi. An Account of a Book intituled , A Trea- 
tife of Fluxions, in Two Books, by Colin 
M c Laurin, A- M. Frofejfor of Mathe- 
matics in the Univevjity of Edinburgh,’ 
and Fellow of the Royal Society, 4/"* 
in Two Volume Fages 763. 
Trefented Jan. ^ a ''HE Author’s firft Defign, in com- 
27.1742-3. pofjug this Treatifc, was to cfta- 
blifli the Method of Fluxions on Principles equally 
evident and unexceptionable with thofe of the antient 
Geometricians, by Demonftrations deduced after their 
Manner, in the mod rigid Form, and by illuftrating 
the more abftrufe Parts of the DoCtrine, to vindicate 
it from the Imputation of Uncertainty or Obfcurity. 
But he has like wife comprehended in this Work the 
Application of Fluxions to the mod important geo- 
metrical and philofophical Inquiries. It confifts of 
an Introduction, and T wo Books. In the Introduction 
he gives an AbftraCt of the Difcoveries of the Aa- 
tients in the higher Parts of Geometry, with Obfer- 
vations on their Method, and thofe that firft fuc- 
ceeded to it. The Firft Book treats of Fluxions in a 
geometrical Method, and the Second treats of the 
Computations. 
In the Introduction we have an AbftraCt not only 
of the Difcoveries of the Antients in the higher Parts 
of Geometry, but likewife of their Demonftrations. 
After an Account of the Propofttions of this kind, 
that are to be found in the Twelfth Book of Euclid , 
T t 2 there 
