A Presentation on Axis System (10.01.03.111)
Download as PPTX, PDF0 likes234 views
This document discusses different coordinate systems including Cartesian, polar, cylindrical, and spherical coordinates. It explains that the Cartesian system uses perpendicular axes that intersect at right angles, with one point defined as the origin. Polar coordinates represent a point using its distance from the origin and the angle from the x-axis. The document also describes how the axial system is used to find distances between points and know positions relative to the axes in different dimensional systems.
A Presentation on Axis System (10.01.03.111)
- 1. Presentation on : Axis System MD. Rezaul hasan Id : 10.01.03.111
- 2. The Cartesian coordinate system is the most commonly used coordinate system. In two dimensions, this system consists of a pair of lines on a flat surface or plane, that intersect at right angles. The lines are called axes and the point at which they intersect is called the origin.
- 9. In the figure below he Point P1 has polar coordinates (r1, f1) = (5, 53.1o), and the point P2 has polar coordinates (r2, f2) = (3.16, 251.6o ). The Transformation equations are: x = r cosf, y = r sinf r = (x2 + y2)1/2, f = tan-1(y/x) Cylindrical coordinates and spherical coordinates are two different extensions of polar coordinates to three dimensions.
- 10. In a 3D Cartesian coordinate system, a point P is referred to by three real numbers (coordinates), indicating the positions of the perpendicular projections from the point to three fixed, perpendicular, graduated lines, called the axes which intersect at the origin. Often the x-axis is imagined to be horizontal and pointing roughly toward the viewer (out of the page), the y-axis is also horizontal and pointing to the right, and the z-axis is vertical, pointing up. The system is called right-handed if it can be rotated so that the three axes are in the position as shown in the figure above. The x-coordinate of of the point P in the figure is a, the y-coordinate is b, and the z-coordinate is c
- 15. Axial system is used to find the distance between two point. Use due to know the position of a number from 0 in any dimensional system Use for calculating slope in a straight line Use for plotting graph Measuring angle between two line intersecting each other in any coordinate plane. Etc.
- 16. THANK YOU