PPT-COORDINATE GEOMETRY

Distance between 2 points Midpoint of 2 points Distance between two points 5 18 3 17 A53 B1817 18 5 13 units 17 3 14 units AB 2 13 2 14 2 Using Pythagoras Theorem. Coordinate Systems. Representing 3D points in Cylindrical Coordinates. . . r. Start from polar . representations in the plane. Representing 3D points in Cylindrical Coordinates. . . r. Cylindrical coordinates just adds a . Sumit Gulwani. MSR, Redmond. Vijay Korthikanti. UIUC. Ashish . Tiwari. SRI. Given a . triangle XYZ. , construct . circle C. such that C passes through X, Y, and Z.. . 1. Ruler/Compass based Geometry Constructions. Lecture 8: . Stereo . Imaging. Recap of Lecture 7. Inverse perspective transformation and its issues. Many to one mapping. Generalized perspective transformation. Fundamentals of camera calibration. Outline of Lecture 8. Geodesy. - the shape of the earth and definition of earth datums. Map Projection. - the transformation of a curved earth to a flat map. Coordinate systems. - (x,y,z) coordinate systems for map data. Vocabulary. Coordinate . Coordinate Plane. Ordered Pairs. Origin. Plot. Quadrants. X-axis. Y-axis. x. y. –2. –2. 2. 2. –4. –4. 4. 4. –1. –3. –5. A . coordinate plane. . is a plane containing a horizontal number line, the . ROBERT BEZIRGANYAN & ADEDAYO ODESILE. CSS 552 RESEARCH PRESENTATION. What is Texture Mapping?. Wrapping a primitive with a complex surface.. Source: Prof K. Sung, CSS 552 Texture Mapping Class Slides. Lesson . 4.02. After completing this lesson, you will be able to say. :. I . can. identify and position pairs of rational numbers on a coordinate plane.. Plotting Points. In order to understand how to plot points on a coordinate plane, we must first recall how to locate integers on horizontal and vertical number line diagrams. Systems. Acknowledgements: Barron Orr, AZ Geospatial Extension Specialist. Operation On-Target. With support from:. NSF DUE-0903270. Prepared by:. in partnership with:. John McGee. Jennifer McKee. Geospatial Technician Education Through Virginia’s Community Colleges (GTEVCC). Copyright . © 2000 by Monica Yuskaitis. Definition. Grid – A pattern of horizontal and vertical lines, usually forming squares.. Copyright . © 2000 by Monica Yuskaitis. Definition. Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines.. Geometry in Nature is Everywhere. Proportions of the human body. In the shape of a shell. .. .. . .. . The bees make their hives into regular hexagons. Honeycomb. The following slides are some more examples of geometry in nature. A Coordinate Grid . Project. Timeline. Day 1: . Introduction to Maps . Start Classroom Map. Day 2: . Finish Classroom Map . Share Maps . Discuss difficulties of Mapping an Entire School. Get in Teams and Brainstorm. Radial coordinate r(t). Time. Radial coordinate r(t). Time. Time. 1/r. 2. (t) ~ . d. f. /. dt. (t. ). r(t) is not quite sinusoidal. . d. f. /. dt. (t. ) is not sinusoidal. . RECTANGULAR or Cartesian. . CYLINDRICAL. SPHERICAL. Choice is based on symmetry of problem. Examples:. Sheets - RECTANGULAR. Wires/Cables - CYLINDRICAL. Spheres - SPHERICAL. To understand the Electromagnetics, we must know basic vector algebra and coordinate systems. So let us start the coordinate systems.. (3, – 2). III. Q. (0, 1). J. (1, 4) & . S. (1, 0). (– 3, – 2). Transformations on the Coordinate Plane. Transformations on the Coordinate Plane. Transformations are movements of geometric figures..