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### Does a line go on forever in both directions?

In Euclidean geometry, yes.

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In Euclidean geometry, yes.

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Geometry

One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.

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Geometry

Archimedes - Euclidean geometry Pierre Ossian Bonnet - differential geometry Brahmagupta - Euclidean geometry, cyclic quadrilaterals Raoul Bricard - descriptive geometry Henri Brocard - Brocard points.. Giovanni Ceva - Euclidean geometry Shiing-Shen Chern - differential geometry RenĂ© Descartes - invented… Full Answer

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Geometry

In Euclidean geometry parallel lines are always the same distance apart. In non-Euclidean geometry parallel lines are not what we think of a parallel. They curve away from or toward each other. Said another way, in Euclidean geometry parallel lines… Full Answer

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Geometry

both the geometry are not related to the modern geometry

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Geometry

Euclidean geometry, non euclidean geometry. Plane geometry. Three dimensional geometry to name but a few

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Geometry

The geometry of similarity in the Euclidean plane or Euclidean space.

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Geometry

It works in Euclidean geometry, but not in hyperbolic.

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No. It is true in Euclidean geometry but not in non-Euclidean geometries.

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Geometry

true

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Geometry

There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.

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Euclidean geometry is a mathematical system attributed to the Greek mathematician Euclid of Alexandria.

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Geometry

true

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Richard L. Faber has written: 'Applied calculus' -- subject(s): Calculus 'Foundations of Euclidean and non-Euclidean geometry' -- subject(s): Geometry, Geometry, Non-Euclidean

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Geometry

Geometry that is not on a plane, like spherical geometry

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Geometry

Answer The two commonly mentioned non-Euclidean geometries are hyperbolic geometry and elliptic geometry. If one takes "non-Euclidean geometry" to mean a geometry satisfying all of Euclid's postulates but the parallel postulate, these are the two possible geometries.

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They are 1-dimensional objects in Euclidean space.

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In Euclidean geometry, a triangle must be one of these: acute, obtuse, or right. Maybe there is a non-Euclidean geometry for which some obtuse triangles can contain a right angle, but it doesn't happen in Euclidean geometry.

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Geometry

The 2 types of non-Euclidean geometries are hyperbolic geometry and ellptic geometry.

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Geometry

No.

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Geometry

euclidean

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Euclid

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Geometry

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Geometry

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Geometry

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Geometry

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Geometry

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Geometry

Euclid developed Euclidean geometry around 300 BC. I cannot get much briefer than that.

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Geometry

Euclidean Geometry if the focous of this course. -apex

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not in euclidean geometry (I don't know about non-euclidean).

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Euclid

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Geometry

Euclid.

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Geometry

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Geometry

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Geometry

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Geometry

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Geometry

There are different kinds of geometry including elementary geometry, Euclidean geometry, and Elliptic Geometry.

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Euclid discovered the circle and he named his geometry "Euclidean geometry "

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Geometry

elliptic - a kind of non-Euclidean geometry.

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In Euclidean geometry, parallels never meet. In other geometry, such as spherical geometry, this is not true.

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Harold Eichholtz Wolfe has written: 'Introduction to non-Euclidean geometry' -- subject(s): Geometry, Non-Euclidean, History

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Euclid's parallel axiom is false in non-Euclidean geometry because non-Euclidean geometry occurs within a different theory of space. There may be one absolute occurrence in non-Euclidean space where Euclid's parallel axiom is valid. Possibly as some form of infinity.

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Geometry

Euclid is the father of geometry. That's why the geometry you learn is called Euclidean Geometry. THELS from greek