[PDF] Practical Geometry eBook

Author : Victor Gutenmacher
Publisher : Springer Science & Business Media
Page : 166 pages
File Size : 10,85 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 1475738099

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Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels

Author : Kwang S. Ko
Publisher : Createspace Independent Publishing Platform
Page : 196 pages
File Size : 20,69 MB
Release : 2016-01-13
Category :
ISBN : 9781523362011

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This is a study guide written primarily for middle and high schoolers in order for them to learn relevant math concepts at their level. There is an introduction before each chapter that describes what will be covered. Chapter 7 discusses similarity, which explains the ratio between two numbers, discern proportions and their properties, identifies the properties of similar polygons, and proves that two triangles can be similar with different postulates and theorems, as well as learning how to identify dilations and its properties. Chapter 8 covers right triangles, which demonstrates how to solve problems involving similar triangles formed by the altitude that is perpendicular to the hypotenuse, finding the lengths of the sides of a triangle with the Pythagorean Theorem, using side lengths to classify triangles and angles measures and finding their length in special right triangles, and to find the magnitude and direction of a vector. Chapter 9 deals with circles that discuss segments and lines related to circles, use properties of tangents, arcs, and chords of a circle as well as the properties of inscribed angles and inscribed polygons of a circle, and finding and graphing the equation of a circle. Chapter 10 teaches areas of polygons and circles, which can describe the angle measures of polygons, the areas of regular polygons as well as the perimeters and areas of similar figures, the circumference and arc length of circles, and the areas of circles and their sectors. Each concept has a step-by-step explanation on how to approach the problems. Afterwards, there is a self- test that assesses the knowledge of the student, and at the end of the book, there is a review test that examines the student's knowledge of all the previous chapters.

Author : Andrew Sutton
Publisher : Bloomsbury Publishing USA
Page : 65 pages
File Size : 30,15 MB
Release : 2009-11-03
Category : Mathematics
ISBN : 0802717764

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Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.

Author : Daniel Sunday, PhD
Publisher : Independently Published
Page : 194 pages
File Size : 10,86 MB
Release : 2021-05-16
Category :
ISBN :

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This book presents practical geometry algorithms with computationally fast C++ code implementations. It covers algorithms for fundamental geometric objects, such as points, lines, rays, segments, triangles, polygons, and planes. These algorithms determine the basic 2D and 3D properties, such as area, distance, inclusion, and intersections. There are also algorithms to compute bounding containers for these objects, including a fast bounding ball, various convex hull algorithms, as well as polygon extreme points and tangents. And there is a fast algorithm for polyline simplification using decimation that works in any dimension. These algorithms have been used in practice for several decades. They are robust, easy to understand, code, and maintain. And they execute very rapidly in practice, not just in theory. For example, the winding number point in polygon inclusion test, first developed by the author in 2000, is the fastest inclusion algorithm known, and works correctly even for non-simple polygons. Also, there is also a fast implementation of the Melkman algorithm for the convex hull of a simple polyline. And much more. If your programming involves geometry, this will be an invaluable reference.