Fundamentals Of Geometry Construction
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Fundamentals Of Geometry Construction
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Author : Jorge Angeles
language : en
Publisher: Springer Nature
Release Date : 2020-04-18
Fundamentals Of Geometry Construction written by Jorge Angeles and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-18 with Technology & Engineering categories.
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.
Ruler And Compass
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Author : Andrew Sutton
language : en
Publisher: Wooden Books Us
Release Date : 2022-03-15
Ruler And Compass written by Andrew Sutton and has been published by Wooden Books Us this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-15 with Mathematics categories.
How do you draw a heptagon? What about a heptakaidecagon? How do you fit circles perfectly into triangles? And around them? If the computer is down - could you do it with ruler and compass? In this unique little book, Andrew Sutton guides you through the once treasured principles of ruler and compass constructions, used for centuries by architects, carpenters, stonemasons and master craftsmen. Designed to last until the lights go out, this is a timeless book. WOODEN BOOKS USA. Small books, BIG ideas. Tiny but packed with information. "Stunning" NEW YORK TIMES. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST.
Ibn Al Haytham S Theory Of Conics Geometrical Constructions And Practical Geometry
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2013-06-26
Ibn Al Haytham S Theory Of Conics Geometrical Constructions And Practical Geometry written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-26 with History categories.
Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context. This fundamental text will appeal to historians of ideas, epistemologists and mathematicians at the most advanced levels of research.
Constructions
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Author : Tammy Pelli
language : en
Publisher:
Release Date : 2004-02
Constructions written by Tammy Pelli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02 with Geometry concept categories.
Topics include: Segment Constructions; Angles Constructions; Constructions Based on Congruent Triangle Theorems; Special Segments in Triangles; Circle Constructions.
Geometric Constructions
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Author : George E. Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric Constructions written by George E. Martin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Geometry Of Hindu Temples Geometrical Foundations Of Hindu Temples
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Author : Dr. Salilesh Mukhopadhyay
language : en
Publisher: Writers Republic LLC
Release Date : 2023-02-08
Geometry Of Hindu Temples Geometrical Foundations Of Hindu Temples written by Dr. Salilesh Mukhopadhyay and has been published by Writers Republic LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-08 with Education categories.
“Geometry of Hindu Temples” is unique in the following sense: 1. It has emphasized the “earthquake proof architecture of Ajanta and Elora in Aurangabad, INDIA. 2. It elaborates the Hindu geometry versus the Euclidean geometry. 3. It describes the fundamentals of geometry involved in the construction of temples in India. 4. Precisely the 64-grid or 81-grid geometrical constructions! 5. Lastly the book is the first volume to explore the magnificent branch of HINDU SACRED GEOMETRY.
Structures A Geometric Approach
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Author : Edmond Saliklis
language : en
Publisher: Springer
Release Date : 2018-11-07
Structures A Geometric Approach written by Edmond Saliklis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-07 with Technology & Engineering categories.
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.
Fundamentals Of Building Construction
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Author : Edward Allen
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-24
Fundamentals Of Building Construction written by Edward Allen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Technology & Engineering categories.
Now in its Fifth Edition, this essential textbook has been used by thousands of students annually in schools of architecture, engineering, and construction technology. The bestselling reference focuses on the basic materials and methods used in building construction, emphasizing common construction systems such as light wood frames, masonry bearing walls, steel frames, and reinforced concrete. New introductory material on the processes, organization, constraints, and choices in construction offers a better look at the management of construction. New sections covering the building envelope uncover the secrets to designing enclosures for thermal insulation, vapor retarders, air barriers, and moisture control. The Fifth Edition also features more axonometric detail drawings and revised photographs for a thoroughly illustrated approach and the latest IBC 2006, CSI MasterFormat, ASTM references, and LEED information.
Fundamentals Of Mathematics
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Author : Heinrich Behnke
language : en
Publisher: MIT Press
Release Date : 1974
Fundamentals Of Mathematics written by Heinrich Behnke and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Volume II of a unique survey of the whole field of pure mathematics.
The Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher: Read Books Ltd
Release Date : 2015-05-06
The Foundations Of Geometry written by David Hilbert and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-06 with History categories.
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.