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"Everything has got an equation"

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coordinate geometry for dummies

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Coordinate Geometry

Do you recall what a plane is? A plane is any flat surface which can go on infinitely in both directions. Now, if there is a point on a plane, you can easily locate that point with the help of coordinate geometry. Using the two numbers of the coordinate geometry, a position of any point on the plane can be found. Let us know more!
Coordniate geometry is also known as analytic geometry. A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of real numbers also known as coordinates. In 3D coordinate geometry three dimensional objects are analyzed. When we want to find volume of a cylinder or sphere 3d gerometry is needed.

geometry formula

geometry fun cartoon
Another set of formulas related to triangle and slopes are :

geometry formula
Equations of parabola, hyperbola, ellipse and circle can be defined using co-odinate geometry. They all have a corresponding figure and equations :
geometry formula
The general equation of all second degree curves is :

volume integral formula

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3D geometry

The equation of plane in three geometry is the extension of straight line in 2D geometry.

geometry formula

geometry formula

"mathematics is the king of science whereas number theory is the queen of mathematics"

Algebraic geometry

Algebraic geometry is a sub-branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros.

Notes and additional comments

Area of a triangle can be calculated using the coordinates of the vertices :

geometry formula
Some useful terms and figures :
geometry formula

Reference materials:

Classical electromagnetic theory
Analysis of matter by Russell
Quantum mechanics
Grand Design by Stephen Hawking
Higher Engineering Mathematics ( PDFDrive.com ).pdf
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