Sentence examples for the geometry and arithmetic of from inspiring English sources

I work on the geometry and arithmetic of figures defined by polynomial equations.

Zabarella compares Aristotle's works on natural philosophy to the geometry and arithmetic of Euclid.

The propositions of geometry and arithmetic record matters of fact that are very deep and invariable in our experience.

What Mill does argue about the necessity of geometry and arithmetic, and, for that matter, the basic axioms of other sciences such as physics and chemistry, is that these principles, while from the point of view of their truth are inductive generalizations, are from the point of view of the thinker matters of psychological necessity.

For Maimon, as for Kant, the ground of the a priority and necessity of geometry and arithmetic lies in the need for the construction and exhibition of concepts.

The truths of geometry and arithmetic had traditionally been taken to be necessary.

In sum the Elements gathered together the whole field of elementary geometry and arithmetic that had developed in the two centuries before Euclid.

Kant had recognized that the best of modern science was often mathematical in character and had labored to integrate both geometry and arithmetic into our empirical picture of the world.

This Pythagorean view re-emerged in medieval universities, where scholars studied the quadrivium, which divided the science of mathematics into four parts: geometry and arithmetic, astronomy and music.

From this standpoint, statements of geometry and arithmetic were necessarily true propositions with definite empirical content.

This curious document entitled directions for knowing all dark things, deciphered by Eisenlohr in 1877, is a collection of problems in geometry and arithmetic, algebra, weights and measures, business and recreational diversions.