# Euclid axiom in a sentence

1) Leibniz's improvement of Euclid's

**axiom**contains the same concept.

2) Euclid's fifth

**axiom**6 of geometry is illustrated in the diagram below.

axiom collocations

3) In Euclid's original approach, the Pythagorean theorem follows from Euclid's

**axioms**.

4) To

**Euclid**

**axioms**were unshakeable truths (e.g. every two distinct points uniquely determine a line).

## Euclid axiom example sentences

5) The independence of the parallel postulate from Euclid's other**axioms**was finally demonstrated by Eugenio Beltrami in 1868.

6) It was shown that Euclid's

**axioms**for geometry, which had been taught for centuries as an example of the axiomatic method, were incomplete.

7) In the mid-19th century, flaws in Euclid's

**axioms**for geometry became known (Katz 1998, p. 774).

8) In "Euclidis Prota"..., which is an attempt to tighten Euclid's

**axioms**, he states...: 'I have diverse definitions for the straight line.

9) Some other complete sets of

**axioms**had been given a few years earlier, but did not match Hilbert's in economy, elegance, and similarity to Euclid's

**axioms**.

10) Euclid's

**axioms**seemed so intuitively obvious (with the possible exception of the parallel postulate) that any theorem proved from them was deemed true in an absolute, often metaphysical, sense.

11) This discovery was a major paradigm shift in mathematics, as it freed mathematicians from the mistaken belief that Euclid's

**axioms**were the only way to make geometry consistent and non-contradictory.

12) In particular, the monumental work of Isaac Newton is essentially based on Euclid's

**axioms**, augmented by a postulate on the non-relation of spacetime and the physics taking place in it at any moment.

These examples have been automatically selected and may contain sensitive content that does not reflect the opinions or policies of our website. Please inform us about the inappropriate sentences:

This site is designed to teach you English words in context with collocations with the help of example sentences.

You can easily memorize the word and the meaning of Euclid axiom

and This is a fast way of learning the meaning of Euclid axiom with example sentences.

Always focus on the learning on sentences with Euclid axiom

We believe you will easily learn to write and use the word Euclid axiom in a sentence.

You can practice spelling and usage of the word by getting 10 examples of sentences with Euclid axiom.

20 examples of simple sentences of Euclid axiom. We tried to find and publish the the words with Simple Sentences of Euclid axiom

Compound Sentences with Euclid axiom

Complex Sentences with Euclid axiom

Compound-Complex Sentences with Euclid axiom