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Euclid's Elements and Pythagorean triple

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Euclid's Elements and Pythagorean triple

Euclid's Elements vs. Pythagorean triple

The Elements (Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. A Pythagorean triple consists of three positive integers,, and, such that.

Similarities between Euclid's Elements and Pythagorean triple

Euclid's Elements and Pythagorean triple have 9 things in common (in Unionpedia): Circumscribed circle, Euclid, Euclidean algorithm, Incircle and excircles of a triangle, Proclus, Pythagoras, Pythagorean theorem, Similarity (geometry), Thales's theorem.

Circumscribed circle

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.

Circumscribed circle and Euclid's Elements · Circumscribed circle and Pythagorean triple · See more »

Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

Euclid and Euclid's Elements · Euclid and Pythagorean triple · See more »

Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

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Incircle and excircles of a triangle

In geometry, the incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides.

Euclid's Elements and Incircle and excircles of a triangle · Incircle and excircles of a triangle and Pythagorean triple · See more »

Proclus

Proclus Lycaeus (8 February 412 – 17 April 485 AD), called the Successor (Greek Πρόκλος ὁ Διάδοχος, Próklos ho Diádokhos), was a Greek Neoplatonist philosopher, one of the last major classical philosophers (see Damascius).

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Pythagoras

Pythagoras of Samos was an Ionian Greek philosopher and the eponymous founder of the Pythagoreanism movement.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Similarity (geometry)

Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.

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Thales's theorem

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line is a diameter, then the angle ∠ABC is a right angle.

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The list above answers the following questions

Euclid's Elements and Pythagorean triple Comparison

Euclid's Elements has 137 relations, while Pythagorean triple has 123. As they have in common 9, the Jaccard index is 3.46% = 9 / (137 + 123).

References

This article shows the relationship between Euclid's Elements and Pythagorean triple. To access each article from which the information was extracted, please visit:

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