Basic Steps In Geometrical Construction PDF Download
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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 | : 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 | : 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 | : Christopher M. Freeman |
Publisher | : Taylor & Francis |
Total Pages | : 84 |
Release | : 2021-09-09 |
Genre | : Education |
ISBN | : 1000500276 |
Download Hands-On Geometry Book in PDF, ePub and Kindle
Put compasses into your students' hands and behold the results! Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; to construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; to construct perpendicular lines and rectangles, parallel lines, and parallelograms; and to construct a regular pentagon and a golden rectangle. Students will enjoy fulfilling high standards of precision with these hands-on activities. Hands-On Geometry provides the background students need to become exceptionally well prepared for a formal geometry class. The book provides an easy way to differentiate instruction: Because the lessons are self-explanatory, students can proceed at their own pace, and the finished constructions can be assessed at a glance. Grades 4-6
Author | : Monte Scott Norton |
Publisher | : |
Total Pages | : 68 |
Release | : 1963 |
Genre | : Geometrical constructions |
ISBN | : |
Download Geometric Constructions Book in PDF, ePub and Kindle
Author | : Henk J.M. Bos |
Publisher | : Springer Science & Business Media |
Total Pages | : 472 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461300878 |
Download Redefining Geometrical Exactness Book in PDF, ePub and Kindle
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 | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 0387226761 |
Download Geometry: Euclid and Beyond Book in PDF, ePub and Kindle
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 |
Total Pages | : 86 |
Release | : 2007 |
Genre | : Architecture |
ISBN | : 9780863156083 |
Download Drawing Geometry Book in PDF, ePub and Kindle
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 |
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 | : Maureen T. Carroll |
Publisher | : American Mathematical Soc. |
Total Pages | : 480 |
Release | : 2018-12-20 |
Genre | : Geometry |
ISBN | : 1470448432 |
Download Geometry: The Line and the Circle Book in PDF, ePub and Kindle
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.