Sentence examples similar to theory proportion from inspiring English sources

In Renaissance theory, proportions and harmonies were developed from systems of musical composition, since architects believed that relationships in all the arts depended on an all-pervading celestial harmony.

The French architect Le Corbusier developed a theory of proportion called Modulor, also based on a study of human proportions.

Book VI applies the theory of proportion from Book V to similar figures and presents the geometrical solution to quadratic equations.

It appears that the technique of similar figures was already known in the 5th century bc, even though a fully valid justification could not have been given before Eudoxus worked out his theory of proportion.

Finally, he may be the author of a general theory of proportion that was formulated after the numerically based theory of the Pythagoreans (fl. 5th century bc) yet before that of Eudoxus of Cnidus (c. 400 350 bc) as described in Book V of the Elements.

The discovery of universal proofs is usually associated with Eudoxus' theory of proportion.

He developed the theory of proportion, partly to place the doctrine of incommensurables (irrationals) upon a thoroughly sound basis.

As we have seen, a problem \(X\) is taken to be 'complex' in the sense of computational complexity theory in proportion to how difficult it is to decide algorithmically.

The analysis and proofs relied heavily on the Eudoxian theory of proportion, as set forth in the fifth book of Euclid's Elements.

One conjecture is that the proof by similar triangles involved a theory of proportions, a topic not discussed until later in the Elements, and that the theory of proportions needed further development at that time.

Archytas also applied the theory of proportions to musical harmony.