Schoolmen compar'd with the mathematicians.
Extension is blended wth tangible or visible ideas, & by the mind præscinded therefrom.
Mathematiques made easy—the scale does almost all. The scale can tell us the subtangent in ye parabola is double the abscisse.
Wt need of the utmost accuracy wn the mathematicians own in rerum natura they cannot find anything corresponding wth their nice ideas.
One should endeavour to find a progression by trying wth the scale.
Newton's fluxions needless. Anything below an M might serve for Leibnitz's Differential Calculus.
How can they hang together so well, since there are in them (I mean the mathematiques) so many contradictoriæ argutiæ. V. Barrow, Lect.
A man may read a book of Conics with ease, knowing how to try if they are right. He may take 'em on the credit of the author.
Where's the need of certainty in such trifles? The thing that makes it so much esteem'd in them is that we are thought not capable of getting it elsewhere. But we may in ethiques and metaphysiques.
The not leading men into mistakes no argument for the truth of the infinitesimals. They being nothings may perhaps do neither good nor harm, except wn they are taken for something, & then the contradiction begets a contradiction.