In Euclidean geometry, yes.

In Euclidean geometry, yes.

In Euclidean geometry, yes.

In Euclidean geometry, yes.

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.

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.

both the geometry are not related to the modern geometry

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

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

René Descartes - invented the methodology analytic geometry

Joseph Diaz Gergonne - projective geometry; Gergonne point

Girard Desargues - projective geometry; Desargues' theorem

Eratosthenes - Euclidean geometry

Euclid - Elements, Euclidean geometry

Leonhard Euler - Euler's Law

Katyayana - Euclidean geometry

Nikolai Ivanovich Lobachevsky - non-Euclidean geometry

Omar Khayyam - algebraic geometry, conic sections

Blaise Pascal - projective geometry

Pappus of Alexandria - Euclidean geometry, projective geometry

Pythagoras - Euclidean geometry

Bernhard Riemann - non-Euclidean geometry

Giovanni Gerolamo Saccheri - non-Euclidean geometry

Oswald Veblen - projective geometry, differential 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 can never cross. In non-Euclidean geometry they can.

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

It works in Euclidean geometry, but not in hyperbolic.

They are 1-dimensional objects in Euclidean space.

true

true

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

Geometry that is not on a plane, like spherical geometry

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

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

euclidean

euclidean

Geometry that is not on a plane, like spherical geometry

No.

Richard L. Faber has written:

'Applied calculus' -- subject(s): Calculus

'Foundations of Euclidean and non-Euclidean geometry' -- subject(s): Geometry, Geometry, Non-Euclidean

Euclid.

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.

Euclidean Geometry if the focous of this course.

-apex

Euclid developed Euclidean geometry around 300 BC.

I cannot get much briefer than that.

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

Euclid of Alexandria.

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

elliptic - a kind of non-Euclidean geometry.

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

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

YES

pencil

Not in plane Euclidean geometry.

i have no idea lol

The axioms are not postulates.

In Euclidean geometry, they do not meet.

Yes.

False

False.

Harold Eichholtz Wolfe has written:

'Introduction to non-Euclidean geometry' -- subject(s): Geometry, Non-Euclidean, History

Euclid, a Greek mathematician, is known as the Father of Geometry. In his mathematics book Elements, he introduced what came to be known as Euclidean geometry.

yes

Marvin J. Greenberg has written:

'Euclidean and non-Euclidean geometries' -- subject(s): Geometry, Geometry, Non-Euclidean, History

'Lectures on algebraic topology' -- subject(s): Algebraic topology

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.

Yes, in Euclidean geometry.

An axiom of Euclidean geometry.

The philosophy of Euclidean geometry.

No. Spherical geometry did not disprove Euclidean geometry but demonstrated that more than one geometries were possible. Different circumstances required different geometries. Similarly hyperbolic geometry did not disprove either of the others.

th efather of geometry is a greek mathematician Euclid.One of the most commonly used is Euclidean geometry,euclidean geometry is chiefly concerned with properties,figures that can be measured length,areas,and angles therefore af great practical utility.One of the most important in euclidean geometry is the idea of congruence.Two figures are said to be congruent if they have the same shape, size and area