0
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.
What else can I help you with?
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.
How many degrees in a straight line?
In Euclidean geometry, a straight line measures 180 degrees. This is based on the definition of a straight line as the shortest distance between two points, forming a perfectly straight angle. This concept is fundamental in geometry and is used in various mathematical and scientific applications.
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.
When Compare and contrast Euclidean geometry and spherical geometry. Be sure to include these points 1. Describe the role of the Parallel Postulate in spherical geometry. 2. How are triangles differen?
Euclidean geometry is based on flat surfaces and includes the Parallel Postulate, which states that through a point not on a line, exactly one parallel line can be drawn. In contrast, spherical geometry operates on a curved surface where the concept of parallel lines does not exist; any two great circles (the equivalent of straight lines on a sphere) will intersect. In spherical geometry, triangles have angles that sum to more than 180 degrees, unlike in Euclidean geometry, where the angles of a triangle always sum to exactly 180 degrees. Thus, the fundamental properties and the behavior of lines and angles differ significantly between the two geometries.
What is the distance between two points called?
lengthThe distance between two points is called the displacement.
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.
