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Author: Solomon Aruoture Publisher: Independently Published ISBN: Category : Languages : en Pages : 0
Book Description
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: Solomon Aruoture Publisher: Independently Published ISBN: Category : Languages : en Pages : 0
Book Description
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: George E. Martin Publisher: Springer Science & Business Media ISBN: 1461206294 Category : Mathematics Languages : en Pages : 210
Book Description
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: Andrew Sutton Publisher: Bloomsbury Publishing USA ISBN: 0802717764 Category : Mathematics Languages : en Pages : 65
Book Description
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: Robin Hartshorne Publisher: Springer Science & Business Media ISBN: 0387226761 Category : Mathematics Languages : en Pages : 535
Book Description
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.
Author: Publisher: Floris Books - Floris Books ISBN: 9780863156083 Category : Architecture Languages : en Pages : 86
Book Description
Geometry is both elegantly simple and infinitely profound. Many professionals find they need to be able to draw geometric shapes accurately, and this unique book shows them how. It provides step-by-step instructions for constructing two-dimensional geometric shapes, which can be readily followed by a beginner, or used as an invaluable source book by students and professionals.
Author: Alfred S. Posamentier Publisher: Dale Seymour Publication ISBN: 9780866514293 Category : Geometrical constructions Languages : en Pages : 102
Book Description
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: Maureen T. Carroll Publisher: American Mathematical Soc. ISBN: 1470448432 Category : Geometry Languages : en Pages : 480
Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Author: Henk J.M. Bos Publisher: Springer Science & Business Media ISBN: 1461300878 Category : Mathematics Languages : en Pages : 472
Book Description
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
Author: Elias C. Tonias Publisher: Springer ISBN: 3319242954 Category : Mathematics Languages : en Pages : 446
Book Description
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.
Author: Solomon Aruoture
Author: Solomon Aruoture
Author: George E. Martin
Author: Andrew Sutton
Author: Monte Scott Norton
Author: Robin Hartshorne
Author: 
Author: Alfred S. Posamentier
Author: Maureen T. Carroll
Author: Henk J.M. Bos
Author: Elias C. Tonias