Fundamentals Of Geometry Construction PDF Download
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Author | : Jorge Angeles |
Publisher | : Springer Nature |
Total Pages | : 182 |
Release | : 2020-04-18 |
Genre | : Technology & Engineering |
ISBN | : 3030431312 |
Download Fundamentals of Geometry Construction Book in PDF, ePub and Kindle
The textbook provides both beginner and experienced CAD users with the math behind the CAD. The geometry tools introduced here help the reader exploit commercial CAD software to its fullest extent. In fact, the book enables the reader to go beyond what CAD software packages offer in their menus. Chapter 1 summarizes the basic Linear and Vector Algebra pertinent to vectors in 3D, with some novelties: the 2D form of the vector product and the manipulation of “larger" matrices and vectors by means of block-partitioning of larger arrays. In chapter 2 the relations among points, lines and curves in the plane are revised accordingly; the difference between curves representing functions and their geometric counterparts is emphasized. Geometric objects in 3D, namely, points, planes, lines and surfaces are the subject of chapter 3; of the latter, only quadrics are studied, to keep the discussion at an elementary level, but the interested reader is guided to the literature on splines. The concept of affine transformations, at the core of CAD software, is introduced in chapter 4, which includes applications of these transformations to the synthesis of curves and surfaces that would be extremely cumbersome to produce otherwise. The book, catering to various disciplines such as engineering, graphic design, animation and architecture, is kept discipline-independent, while including examples of interest to the various disciplines. Furthermore, the book can be an invaluable complement to undergraduate lectures on CAD.
Author | : Andrew Sutton |
Publisher | : Bloomsbury Publishing USA |
Total Pages | : 65 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 0802717764 |
Download Ruler and Compass Book in PDF, ePub and Kindle
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 | : David Hilbert |
Publisher | : Read Books Ltd |
Total Pages | : 139 |
Release | : 2015-05-06 |
Genre | : History |
ISBN | : 1473395941 |
Download The Foundations of Geometry Book in PDF, ePub and Kindle
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Author | : Alfred S. Posamentier |
Publisher | : Dale Seymour Publication |
Total Pages | : 102 |
Release | : 1988 |
Genre | : Geometrical constructions |
ISBN | : 9780866514293 |
Download Advanced Geometric Constructions Book in PDF, ePub and Kindle
19 basic straightedge and compass constructions and construction solutions to algebraic equations. Also explores triangle, circle, and non-compass constructions. Many proofs, exercises and problems.
Author | : George E. Martin |
Publisher | : Springer Science & Business Media |
Total Pages | : 210 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461206294 |
Download Geometric Constructions Book in PDF, ePub and Kindle
Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.
Author | : Solomon Aruoture |
Publisher | : Independently Published |
Total Pages | : 0 |
Release | : 2023-03-25 |
Genre | : |
ISBN | : |
Download Basic Steps In Geometrical Construction Book in PDF, ePub and Kindle
Discover Basic Steps in Geometrical Construction: Basic Steps in Geometric Construction is a book useful in the study of constructions which is an aspect of mathematics that students dread most in secondary school mathematics. The book has been carefully written in a simplified, easy to follow, step by step and easy to understand language. The author provided numerous examples and guides to solve some basic construction in mathematics. The users therefore need little or no assistance to understand the concepts. The book which deals with construction of lines, angles, triangles, quadrilaterals and locus is full of learning activities for thorough understanding of the content. The book will be tremendously useful for both junior and senior secondary schools and others who may want to write external examinations including Joint Admission and Matriculation Board. I strongly recommend Basic Steps in Geometrical Construction to all in Junior and Senior secondary school who wants to pass mathematics with ease and all lovers of mathematics. Get your copy now!
Author | : Iris Mack Dayoub |
Publisher | : |
Total Pages | : 172 |
Release | : 1977 |
Genre | : Angles (Geometry) |
ISBN | : 9780884881759 |
Download Geometry, Constructions and Transformations Book in PDF, ePub and Kindle
Author | : T.B. Nichols |
Publisher | : Routledge |
Total Pages | : 241 |
Release | : 2015-09-30 |
Genre | : Architecture |
ISBN | : 1317742826 |
Download Geometry of Construction: For Builders, Architects, Engineers Book in PDF, ePub and Kindle
Geometry of Construction has long been acknowledged as the most concise and instructive guide to the technical geometry of the construction industry, and a vital resource for students in architecture, carpentry, stonemasonry and engineering. Beginning with the very basics of technical drawing, it provides a series of increasingly complex exercises to clearly explain all that the reader needs to know about geometry. Each topic is covered with a detailed diagram and carefully written instructions, enabling the student to progress from basics such as the circle and construction of scales, to some of the most complex challenges including the entasis of a column, an ionic volute, the hemispherical dome and the setting out of barrel vaulting. The authors, T. B. Nichols and N. P. Keep, both worked extensively in the construction industry before moving into teaching, so they were ideally suited to produce this highly practical guide. First published in 1947, a revised edition, incorporating numerous suggestions from students and lecturers on Raking Sections, the Projection of Points, of Lines, and of Planes, the True Lengths of Lines, the Oblique Plane and on Roof Surfaces, was produced in 1954. Last published in 1966, it has been unobtainable since then. It remains one of the most useful books for any student in the construction industry.
Author | : Julius Petersen |
Publisher | : |
Total Pages | : 220 |
Release | : 1879 |
Genre | : Geometry |
ISBN | : |
Download Methods and Theories for the Solution of Problems of Geometrical Constructions Applied to 410 Problems Book in PDF, ePub and Kindle
Author | : Monte Scott Norton |
Publisher | : |
Total Pages | : 68 |
Release | : 1963 |
Genre | : Geometrical constructions |
ISBN | : |
Download Geometric Constructions Book in PDF, ePub and Kindle