Diclib.com
ChatGPT AI Dictionary

Dictionary Lookup Custom Solutions

Enter a word or phrase in any language 👆

Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

how the word is used
frequency of use
it is used more often in oral or written speech
word translation options
usage examples (several phrases with translation)
etymology

What (who) is cyclic quadrilateral - definition

QUADRILATERAL WHOSE VERTICES CAN ALL FALL ON A SINGLE CIRCLE

Cyclic quadrilaterals; Cyclic quad; Concyclic quadrilateral; Brahmagupta quadrilateral; Inscribed quadrilateral

Cyclic peptide

PEPTIDE CHAINS WHICH CONTAIN A CIRCULAR SEQUENCE OF BONDS

Cyclic peptides; Peptides, cyclic; Cyclic polypeptides; Cyclic protein; Cyclic polypeptide; Cyclopeptides; Cyclopeptide; Peptide macrocycle

Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends of the peptide, for example in cyclosporin; a connection between the amino end and a side chain, for example in bacitracin; the carboxyl end and a side chain, for example in colistin; or two side chains or more complicated arrangements, for example in amanitin.

https://en.wikipedia.org/wiki/Cyclic_peptide

Saccheri quadrilateral

QUADRILATERAL WITH TWO EQUAL SIDES PERPENDICULAR TO THE BASE

Khayyam-Saccheri quadrilateral; Saccheri Quadrilateral; Khayyam–Saccheri quadrilateral; Khayyam quadrilateral

A Saccheri quadrilateral (also known as a Khayyam–Saccheri quadrilateral) is a quadrilateral with two equal sides perpendicular to the base. It is named after Giovanni Gerolamo Saccheri, who used it extensively in his book Euclides ab omni naevo vindicatus (literally Euclid Freed of Every Flaw) first published in 1733, an attempt to prove the parallel postulate using the method Reductio ad absurdum.

https://en.wikipedia.org/wiki/Saccheri_quadrilateral

Cyclic order

TERNARY RELATION THAT IS CYCLIC (IF [𝑥,𝑦,𝑧] THEN [𝑧,𝑥,𝑦]), ASYMMETRIC (IF [𝑥,𝑦,𝑧] THEN NOT [𝑧,𝑦,𝑥]), TRANSITIVE (IF [𝑤,𝑥,𝑦] AND [𝑤,𝑦,𝑧] THEN [𝑤,𝑥,𝑧]) AND CONNECTED (FOR DISTINCT 𝑥,𝑦,𝑧

Cyclic sequence; Circular order; Circular ordering; Total cyclic order; Cyclically ordered set; Cyclic ordering; Complete cyclic order; Linear cyclic order; L-cyclic order; Circularly ordered set

In mathematics, a cyclic order is a way to arrange a set of objects in a circle. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as "".

https://en.wikipedia.org/wiki/Cyclic_order

Wikipedia

Cyclic quadrilateral

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the circumradius respectively. Other names for these quadrilaterals are concyclic quadrilateral and chordal quadrilateral, the latter since the sides of the quadrilateral are chords of the circumcircle. Usually the quadrilateral is assumed to be convex, but there are also crossed cyclic quadrilaterals. The formulas and properties given below are valid in the convex case.

The word cyclic is from the Ancient Greek κύκλος (kuklos), which means "circle" or "wheel".

All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral that cannot be cyclic is a non-square rhombus. The section characterizations below states what necessary and sufficient conditions a quadrilateral must satisfy to have a circumcircle.

https://en.wikipedia.org/wiki/Cyclic quadrilateral