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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.
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What is the difference between geometry and solid geometry?
The difference between regular geometry and solid geometry is that regular geometry deals with angles, measuring angles, and theorem/postulates. Solid geometry deals with shapes and multiple sided figures.
What is the difference between a plane geometry and a solid geometry?
one is plane and one is solid
What was the difference between solid analYtic geometry and plane analYtic geometry?
solid geometry deals with 3 dimensional figures while plane geometry deals with 2 dimensional.
What is the difference between geometry and mensuration?
geometry represnt shapes and it's properties where as mensuration represents calculation of shapes like areas and perimeters.
Can a triangle have two right angels?
In normal (Euclidean) geometry, no. However, there are some cases where a triangle can be drawn which does have two right angles.Imagine drawing a great triangle on the earth between three points. The first point is on the equator in Brazil, the second point is at the north pole, and the third point is on the equator in Africa. The two angles drawn from the equator to the north pole are both 90 degrees.This is because the surface of a sphere is not flat, but curved, and it allows the angles of triangles to add up to almost 360 degrees. We call this non-euclidean geometry.
What is the theory of relativity of pi?
Pi is only constant in Euclidean Geometry, it is not the same in other Geometries. In the non-Euclidean geometry that Relativity theory uses the difference between PiE and PiNE is extremely small, approaching zero.
What is the pythagorean thereom used in?
Euclidean geometry. It describes the relationship between the length of the sides in a right triangle.
What is the difference between geometry and solid geometry?
The difference between regular geometry and solid geometry is that regular geometry deals with angles, measuring angles, and theorem/postulates. Solid geometry deals with shapes and multiple sided figures.
What is the difference between a plane geometry and a solid geometry?
one is plane and one is solid
What are the examples of undefined terms of geometry?
There are different geometries but in the most intuitive one, Euclidean Geometry, the undefined "objects" are point, line and plane while incidence, congruence and being between are undefined concepts.
What are the similarities between euclidean and non euclidean?
nothing
What are laws formulated by Euclid?
Euclid formulated several laws in geometry, known as Euclidean geometry. Some of his famous laws include the law of reflection, the law of superposition, and the law of parallel lines. These laws are fundamental to understanding the relationships between points, lines, and shapes in geometry.
What is the distance between two points called?
The distance between two points is called the "distance" or "Euclidean distance" in geometry.
What was the difference between solid analYtic geometry and plane analYtic geometry?
solid geometry deals with 3 dimensional figures while plane geometry deals with 2 dimensional.
What is the difference between trigonometry and geometry?
Trigonometry is specificly the study of a right triangle. For example, what is the cosine? Geometry is the study on shapes.
What is the difference between geometry and math?
Geometry is a type of math. Math encompasses many types of numerical patterns. Geometry is math that applies to geometric shapes.
What is the difference between a driving and driven dimension?
Driving Dimension: the geometry is controlled by the dimension. Driven Dimension: the dimension is controlled by the geometry.
