PPT-Conics and Coordinates

MathsJam 2015 Ben Sparks Bernard Silverman Chief Scientific Advisor to the Home Office Gresham Lecture 2012 Home Office Maths Conic Sections 3D Multilateration Find the plane. a The character and cage at bindtime b d the deformed character corresponding to three different poses of the cage Abstract Generalizations of barycentric coordinates in two and higher di mensions have been shown to have a number of applications in It is important to remember that expressions for the operations of vector analysis are different in di64256erent coordinates Here we give explicit formulae for cylindrical and spherical coordinates 1 Cylindrical Coordinates In cylindrical coordinate Converting Coordinates Sometimes you will need to convert spatial data from one coordinate system to another This is often called reprojecting as di64256erent coordinate systems typically use di64256erent proj We include a review of the most interesting known facts about these sets in Euclidean space and we prove two new results First we sho w that equidistant sets vary continuously with their focal sets W e also prove an error estimate result about appro Geodetic . Datums. Define the shape and size of the earth. . Reference points on a coordinate system used to map the earth. . . There are hundreds of . datums. currently in use; all are either vertical or horizontal in orientation. . Dale E. Gary. Professor, Physics, Center for Solar-Terrestrial Research. New Jersey Institute of Technology. 1. 03/15/2012. OVSA Preliminary Design Review. outline. Software overview. Tasks for geometry/coordinate software. Tuesday, September 1, 2015. : Lecture 4. Today’s Objective: . Curvilinear motion . Normal and Tangential Components. Coordinate Systems. Plane Curvilinear Motion: . Velocity. Note the direction of acceleration. It’s not predictable! . The Massive Field of Computer Graphics. TErminology. Rendering: the entire process of drawing an image to the screen. Vertex: a single 3D vector (x, y, z). Edge: a line between two vertices. Face: Most often 3 vertices and their edges. 2.2 trig ratios with obtuse angles. Trig ratios with obtuse angles. “OBTUSE”. : Greater than 90. o. , less than 180. o. Similarly, coordinates on a . Cartesian Plane. are used to determine a location on a plane relative to the origin. Foundation of spatial analysis + mapping. Cartesian Coordinates Review. Unprojected. coordinate data. Projecting to a flat map. Projection classes. Tissot. Indicatrix. UTM. Projection vs. Datum. Map projection (this lecture). Coordinate Plane. Formed by the intersection of two number lines. Parts of the Coordinate Plane. x. -axis: the horizontal number line. y. -axis: the vertical number line. Quadrants: the 4 areas the coordinate plane is divided into. Introduction. Polar coordinates are an alternative system to Cartesian coordinates. Some processes and equations involving the Cartesian system can become very complicated. You can simplify some of these by using Polar coordinates instead. By: Gabrien Clark. Math 2700.002. May 5. th. , 2010. Introduction. In the simplest sense computer graphics are images viewable on a computer screen. The images are generated using computers and likewise, are manipulated by computers. Underlying the representation of the images on the computer screen is the mathematics of Linear Algebra. . Identify the slope and y-intercept: . Solve for y: . Should the boundary in . #3 . be dotted or solid? Why?. Is (1, -3) a solution to the inequality in . #3? . Why?. A service club is selling copies of their holiday cookbook to raise funds for a project.  The printer’s set-up charge is $200, and each book costs $2 to print.  The cookbooks will sell for $6 each.  How many cookbooks must the members sell before they make a profit?.