"Everything has got an equation"
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coordinate geometry for dummiesPower Engineering | Telecommunication | Control system Engineering | Electronics | Differential equation
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.
Another set of formulas related to triangle and slopes are :
Equations of parabola, hyperbola, ellipse and circle can be defined using co-odinate geometry. They all have a corresponding figure and equations :
The general equation of all second degree curves is :
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3D geometryThe equation of plane in three geometry is the extension of straight line in 2D geometry.
"mathematics is the king of science whereas number theory is the queen of mathematics"
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 commentsArea of a triangle can be calculated using the coordinates of the vertices :
Some useful terms and figures :
Reference materials:Classical electromagnetic theory
Analysis of matter by Russell
Grand Design by Stephen Hawking
Higher Engineering Mathematics ( PDFDrive.com ).pdf