No human research can be called true science unless it can be mathematically proved.

Science is the captain, and practice the soldiers.

There is no certainty in sciences where one of the mathematical sciences cannot be applied, or which are not in relation with these mathematics.

These rules will enable you to have a free and sound judgment; since good judgment is born of clear understanding, and a clear understanding comes of reasons derived from sound rules, and sound rules are the issue of sound experience— the common mother of all the sciences and arts. Hence, bearing in mind the precepts of my rules, you will be able, merely by your amended judgment, to criticise and recognise every thing that is out of proportion in a work, whether in the perspective or in the figures or any thing else.

The Book of the science of Mechanics must precede the Book of useful inventions.

I am not to blame for putting forward, in the course of my work on science, any general rule derived from a previous conclusion.