10 Formulas That Prove The Beauty Of Analytical Geometry

Analytical geometry is frequently used all over the world today. It comes to the rescue of users especially in programs that require you to play with an image such as photoshop.

In addition to technology, it has a great impact on our daily life in the process from the past to the present. Today, it has a wide range of uses, from the planning of agricultural areas to the orbits of space stations. Here are 10 popular ones for you. analytic geometry formulaWe have listed.

Analytical Geometry Formulas:

The slope of the line:

A the slope of the line, It expresses the horizontality of the line and also the change in value.

The perpendicular distance between the line and the point:

in mathematics, Distance can be defined in more than one way. To avoid this confusion, vertical distance is used. This formula, which can be derived from the distance between two points, is expressed as above.

The equation of the line whose axes intersect is certain:

We need some data to express a line on the analytical plane. if If we know the points where the axes intersect We can express the truth as above.

Correct Harness:

intersect at one point If we know the formula for n linesit is possible to find infinite lines passing through that point.

Angle between two intersecting lines:

Angles are one of the things that allow us to interpret many geometric shapes. Here, too, we see the basis of many geometric shapes.

Rotation and translation of an analytical structure:

What we can express on an analytical plane We can move anything to any place we want and rotate it by any degree we want.

Area of ​​the rectangle:

In particular, it is often used in land surveying and designing agricultural fields. from field accounts is used. It has also been seen that it was used to make productive crops in past civilizations.

Area of ​​triangle:

We can also use some operators in mathematics for different purposes, the area of ​​a triangle given three vertices is also a multi-linear function. determinant We can calculate as above.

Center of gravity of a homogeneous planar body:

Consisting of any n pieces of a homogeneous planar body, The center of gravity (X, Y) point with respect to a selected axis set can be calculated with the above equations.

General conic equation:

Parabola, circle, ellipse and hyperbola Conical structures like these are actually sections of a cone. We can express all these conical structures with the above formula.


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