# What is another name for parallel postulate?

## What is another name for parallel postulate?

In geometry, the parallel postulate, also called Euclid’s fifth postulate because it is the fifth postulate in Euclid’s Elements, is a distinctive axiom in Euclidean geometry.

What is the meaning of Euclid’s postulates?

Euclid’s postulates were : Postulate 1 : A straight line may be drawn from any one point to any other point. Postulate 2 :A terminated line can be produced indefinitely. Postulate 3 : A circle can be drawn with any centre and any radius. Postulate 4 : All right angles are equal to one another.

What is Wallis postulate?

John Wallis proposed a new axiom that implied the parallel postulate and was also intuitively appealing. His “axiom” states that any triangle can be made bigger or smaller without distorting its proportions or angles (Greenberg 1994, pp.

### Who proved Euclid’s fifth postulate?

al-Gauhary (9th century) deduced the fifth postulate from the proposition that through any point interior to an angle it is possible to draw a line that intersects both sides of the angle.

What is a antonym for the word postulate?

Opposite of to consider to be true without evidence. calculate. deny. disbelieve.

What is parabolic geometry?

Parabolic geometry, former name for Euclidean geometry, a comprehensive and deductive mathematical system. Parabolic geometry (differential geometry): The homogeneous space defined by a semisimple Lie group modulo a parabolic subgroup, or the curved analog of such a space.

## What is Lobachevsky’s fifth postulate?

Euclid’s fifth is a rule in Euclidean geometry which states (in John Playfair ‘s reformulation) that for any given line and point not on the line, there is only one line through the point not intersecting the given line. Lobachevsky would instead develop a geometry in which the fifth postulate was not true.

What is Lobachevskian geometry?

Alternative Title: Lobachevskian geometry. Hyperbolic geometry, also called Lobachevskian Geometry, a non-Euclidean geometry that rejects the validity of Euclid’s fifth, the “parallel,” postulate. Simply stated, this Euclidean postulate is: through a point not on a given line there is exactly one line parallel to the given line.

What was Lobachevsky’s contribution to mathematics?

On his religious views, he was said to be an atheist. Lobachevsky’s main achievement is the development (independently from János Bolyai) of a non-Euclidean geometry, also referred to as Lobachevskian geometry. Before him, mathematicians were trying to deduce Euclid ‘s fifth postulate from other axioms.

### Is Lobachevsky a Polish name?

^ Ivan Maksimovich Lobachevsky (Jan Łobaczewski in Polish) came from a Polish noble family of Jastrzębiec and Łada coats of arms, and was classified as a Pole in Russian official documents; Jan Ciechanowicz. Mikołaj Łobaczewski – twórca pangeometrii. Rocznik Wschodni.

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