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Euclidean Geometry

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Q: What kind of geometry is based on euclid's axioms dealing with a system of points lines and planes?
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Related questions

What is synthetic geometry?

It´s geometry without metric (ruler, protractor, scales etc). Just with pure geometrical contents.Ex.: questions about planes or lines intersecting points, lines intersecting planes etc are incidence synthetic geometrical questions.Parts of the Elements of Euclid are synthetic. Hilbert's axioms of Euclidean Geometry are synthetic because you don't need to measure segments or angles, and congruence is a primitive relation.Birkhoff´s axioms are not synthetic because distance, scale and real numbers belongs to the axioms. You have metric Geometry.


Are there 3D geometry rules which describe opposing planes and solid objects as Euclid describes lines on a single plane eg. Using a stematic development from a set of axioms to obtain deep results?

Yes. =D


How can you find the intersection of planes in geometry?

In analytical geometry, you equate the equations of the two planes and simplify.


Can planes be triangles in geometry?

Well...... Actually, planes would be considered triangles in geometry because triangles are triangles.


How are euclids discoveries being used today?

Euclidean geometry is the study of points, lines, planes, and other geometric figures. The most prolonged argument over time has been that of the parallel postulate which states: there can only be one line that contains a given point and is parallel to another line.


Study of points lines and planes?

Geometry


How do you use geometry in math?

Geometry is all about the study of angles, lines, planes, and shapes


What is the term of geometry for Point lines and planes?

Point, line and plane ARE terms from geometry.


What are faces in geometry?

faces in geometry normally means planes or the surfaces of the structure referred. for example : a cube has six faces since externally 6 surfaces or planes can be seen .


What category do points lines and planes belong to?

Coordinated geometry


What is the three undefined terms in geometry?

points,lines,and planes


Where do two planes intersect?

In geometry, two planes intersect in a line. The only time this is not true is if the two planes are parallel to each other.