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The analytic geometry was developed by French mathematician and philosopher Rene Descartes as a new branch of mathematics which unified the algebra and geometry in a such way that we can visualize numbers as points on a graph, equations as geometric figures, and geometric figures as equations.

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Q: Why is analytic geometry so important?
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Two parallel lines have equal slope?

Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.


What are some real world applications of geometry?

Euclidean geometry has become closely connected with computational geometry, computer graphics, convex geometry, and some area of combinatorics. Topology and geometry The field of topology, which saw massive developement in the 20th century is a technical sense of transformation geometry. Geometry is used on many other fields of science, like Algebraic geometry. Types, methodologies, and terminologies of geometry: Absolute geometry Affine geometry Algebraic geometry Analytic geometry Archimedes' use of infinitesimals Birational geometry Complex geometry Combinatorial geometry Computational geometry Conformal geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Euclidean geometry Finite geometry Geometry of numbers Hyperbolic geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie sphere geometry Non-Euclidean geometry Numerical geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab geometry Toric geometry Transformation geometry Tropical geometry


How many permutations are in the word geometry?

geometry has 8 letters, 2 of which are the same (e) So, the answer is 8!/2! = 20,160


Is geometry ahead of Algebra 2?

In many schools, Geometry is considered one grade-level lower than Algebra 2. It goes Pre-Algebra, Algebra 1, Geometry, Algebra 2, and so on. Note that this is a generalization, and may not be true at your school.


Does the Pythagorean theorem work with Euclidean and Hyperbolic geometry?

It works in Euclidean geometry, but not in hyperbolic.