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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
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What are the applications of differential equations?
Many real world problems can be represented by first order differential equation. Some applications of differential equation are radio-active decay and carbon dating, population growth and decay, warming/cooling law and draining a tank.
What are some real world examples for positive slope?
An upgrade on a road...
What are some real world examples of conic sections?
Hyperbola = sundial Ellipse = football
What is Euclidean geometry?
This is geometry that is based on ordinary space-- space as we normally consider it. This is the ordinary space of 3 dimensions as you can imagine them in the coordinate system. Planes are flat, and parallel lines on any plane never ever meet, parallel planes never meet... you get the point. There are geometries that involve other kinds of space and they are called "non-Euclidean" geometries. Some of these non-Euclidian geometries are very real and not just theoretical in nature. For example, in the relativistic world, the space in and around very strong gravitational forces is distorted. This has been observed and verified in several ways. Euclidean proofs and the methods of analytical geometry do not work without accounting for these spacial distortions.
What is the difference between relation and table in data base?
Table is where the data is stored and in a well designed schema a table represents some real world object such as CUSTOMER, ORDER, etc., Now the real world objects have relationships. For example, a CUSTOMER has many ORDERS. To represent this relationship a database relationship was invented.
