Ortodontalio / less-math

A small project is a library containing mathematical models and methods for manipulating them.

Preface

This library is a product of my inspiration. As a student of the Faculty of Mathematics, I have repeatedly created small projects for various mathematical problems, which was the reason for my decision to create a library - repository of mathematical formulas, functions and small tasks for creating more complex mathematical models, solving more global problems. My main goal is to implement as extensive and flexible a mathematical library as possible.

Main concepts

This library is divided into packages, each of which represents a specific section of mathematics. At the moment, the following sections and models are fully or partially implemented:

• Geometry:
  • Plane (2D):
    • Point;
    • Line;
    • Segment;
    • Triangle.

In this library, the logic is implemented in such a way that more complex objects can be obtained from more elementary objects, for example, a segment can be obtained from two points, a line from a segment, a triangle from three segments, and so on.

Implemented mathematical logic

This section provides a list of available mathematical functions in this library.

Geometry

This section provides a list of functions that relate to geometric operations.

Point (2D)

• Determine whether a point is the center of a coordinate system;
• Determine whether a point lies on the OX axis;
• Determine whether a point lies on the OY axis;
• Determine whether the points lie on the same line;
• Determine whether the points lie on the same sides;
• Determine the distance from the point to the specified line.

Line (2D)

• Determine whether a line includes some point;
• Determine whether a line is parallel to the OX axis;
• Determine whether a line is parallel to the OY axis;
• Determine whether a line passes through the center of coordinates;
• Convert the equation of a line to an equation resolved with respect to the ordinate (with an angular coefficient);
• Convert the equation of a line with angular coefficient to an equation in the general equation;
• Shift the center of coordinates and calculate the new equation of a line;
• Rotate the coordinate axes and calculate the new equation of a line;
• Determine whether the lines are parallel;
• Determine whether the lines are perpendicular;
• Determine the intersection point of two lines;
• Determine the angle (in degrees) between two lines;
• Determine a new line having the specified angle with the line;
• Determine a new line passing through the specified point parallel to the line;
• Determine a new line passing through the specified point perpendicular to the line.

Segment (2D)

• Determine the point, that divides the segment in the specified ratio.

Triangle

• Get a segment-median that is drawn from the vertex of the triangle to the opposite side;
• Determine that the triangle is rectangular;
• Determine that the triangle is isosceles;
• Determine that the triangle is equilateral.

License

This library is licensed by Apache 2.0. Please read the license agreement before using the source code of this project.