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Basic Steps In Geometrical Construction

Basic Steps In Geometrical Construction
Author: Solomon Aruoture
Publisher: Independently Published
Total Pages: 0
Release: 2023-03-25
Genre:
ISBN:

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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!


Geometric Constructions

Geometric Constructions
Author: George E. Martin
Publisher: Springer Science & Business Media
Total Pages: 210
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461206294

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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.


Ruler and Compass

Ruler and Compass
Author: Andrew Sutton
Publisher: Bloomsbury Publishing USA
Total Pages: 65
Release: 2009-11-03
Genre: 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.


Geometric Constructions

Geometric Constructions
Author: Monte Scott Norton
Publisher:
Total Pages: 68
Release: 1963
Genre: Geometrical constructions
ISBN:

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Advanced Geometric Constructions

Advanced Geometric Constructions
Author: Alfred S. Posamentier
Publisher: Dale Seymour Publication
Total Pages: 102
Release: 1988
Genre: Geometrical constructions
ISBN: 9780866514293

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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.


Geometric Procedures for Civil Engineers

Geometric Procedures for Civil Engineers
Author: Elias C. Tonias
Publisher: Springer
Total Pages: 446
Release: 2016-04-28
Genre: Mathematics
ISBN: 3319242954

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This book provides a multitude of geometric constructions usually encountered in civil engineering and surveying practice. A detailed geometric solution is provided to each construction as well as a step-by-step set of programming instructions for incorporation into a computing system. The volume is comprised of 12 chapters and appendices that may be grouped in three major parts: the first is intended for those who love geometry for its own sake and its evolution through the ages, in general, and, more specifically, with the introduction of the computer. The second section addresses geometric features used in the book and provides support procedures used by the constructions presented. The remaining chapters and the appendices contain the various constructions. The volume is ideal for engineering practitioners in civil and construction engineering and allied areas.


Geometry: Euclid and Beyond

Geometry: Euclid and Beyond
Author: Robin Hartshorne
Publisher: Springer Science & Business Media
Total Pages: 535
Release: 2013-11-11
Genre: Mathematics
ISBN: 0387226761

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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.


Computational Geometry

Computational Geometry
Author: Franco P. Preparata
Publisher: Springer Science & Business Media
Total Pages: 413
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461210984

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From the reviews: "This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry. ... ... The book is well organized and lucidly written; a timely contribution by two founders of the field. It clearly demonstrates that computational geometry in the plane is now a fairly well-understood branch of computer science and mathematics. It also points the way to the solution of the more challenging problems in dimensions higher than two." #Mathematical Reviews#1 "... This remarkable book is a comprehensive and systematic study on research results obtained especially in the last ten years. The very clear presentation concentrates on basic ideas, fundamental combinatorial structures, and crucial algorithmic techniques. The plenty of results is clever organized following these guidelines and within the framework of some detailed case studies. A large number of figures and examples also aid the understanding of the material. Therefore, it can be highly recommended as an early graduate text but it should prove also to be essential to researchers and professionals in applied fields of computer-aided design, computer graphics, and robotics." #Biometrical Journal#2


Structures: A Geometric Approach

Structures: A Geometric Approach
Author: Edmond Saliklis
Publisher: Springer
Total Pages: 332
Release: 2018-11-07
Genre: Technology & Engineering
ISBN: 3319987461

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Graphic methods for structural design essentially translate problems of algebra into geometric representations, allowing solutions to be reached using geometric construction (ie: drawing pictures) instead of tedious and error-prone arithmetic. This was the common method before the invention of calculators and computers, but had been largely abandoned in the last half century in favor of numerical techniques. However, in recent years the convenience and ease of graphic statics has made a comeback in architecture and engineering. Several professors have begun using graphic statics in the classroom.and.studio environment. But until now, there had been no guidebook that rapidly brings students up to speed on the fundamentals of how to create graphical solutions to statics problems.Graphic Statics introduces all of the traditional graphic statics techniques in a parametric drawing format, using the free program GeoGebra. Then, advanced topics such as indeterminate beams and three dimensional curved surfaces are be covered. Along the way, links to wider design ideas are introduced in a succinct summary of the steps needed to create elegant solutions to many staticequilibrium problems.Meant for students in civil and architectural engineering, architecture,and construction, this practical introduction will also be useful to professionals looking to add the power of graphic statics to their work.