Sentence examples for postulate is from inspiring English sources

This postulate is known as the law of inertia.

The second postulate is called the principle of relativity.

Hence, to accept the parallel postulate is to deny the possibility of an absolute concept of length.

The parallel postulate is fundamental for the proof of the theorem that the sum of the angles of a triangle is always 180 degrees.

Simply stated, this Euclidean postulate is: through a point not on a given line there is exactly one line parallel to the given line.

Attempts to derive this from Euclid's other axioms did not succeed, and, at the beginning of the 19th century, it was realized that Euclid's fifth postulate is, in fact, independent of the others.

According to Lambert, if the parallel postulate is rejected, it follows that for every angle θ less than 2R/3 (R is a right angle) an equilateral triangle can be constructed with corner angle θ.

The Italian researchers Christopher Clavius in 1574 and Giordano Vitale in 1680 showed that the postulate is equivalent to asserting that the line equidistant from a straight line is a straight line.

The postulate is confirmed by simulation results.

His argument is wrong because his postulate is wrong.

Each postulate is interpreted in the context of the study of the evolution of fuzzy systems.