Synopsis
A practical overview of how mechanical integrators and planimeters were developed to measure areas, curves, and work.
This book surveys the devices and principles behind area measuring tools and their use in solving engineering problems, from tracing integral curves to computing physical quantities like work and moments.
The text frames a historical and technical trajectory, comparing different instruments and showing how they convert motion and geometry into numeric results. It covers key concepts, notable contributors, and the evolution of devices from simple planimeters to more complex integrators used in statics and dynamics.
- How planimeters read areas and how the readings relate to the geometry of a curve
- Different forms of integrators, including non-slipping and continuous types
- Influential figures and machines shaping graphic statics, dynamics, and engineering measurement
- Practical examples of applying integrators to problems like the strength of girders and work measurements
Ideal for readers of engineering history, graphic statics, and the development of measurement instruments.
"synopsis" may belong to another edition of this title.
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Mechanical Integrators, Including the Various Forms of Planimeters
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating realm of mechanical integrators, instruments designed to perform complex calculations mechanically. Emerging from a rich history of mathematical and engineering innovation, these devices offer a glimpse into a time when human ingenuity sought to overcome computational challenges through intricate mechanisms. The author meticulously examines the theory, design, and practical applications of these instruments, tracing their evolution from early odometers and planimeters to more sophisticated models capable of measuring areas, lengths, and even moments of inertia. Particular attention is given to the Amsler planimeter, a groundbreaking invention that revolutionized area calculations and became a cornerstone of engineering practice. Through detailed explanations and illustrations, the book unveils the mathematical principles underlying these integrators, exploring concepts such as integration, summation, and the interplay between slipping and rolling motion. The author's insights illuminate the ingenuity of these mechanical marvels, showcasing their ability to translate complex mathematical operations into tangible, measurable results. This exploration not only offers a historical perspective on computational tools but also underscores the enduring quest for precision and efficiency in problem-solving. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780366628957_0
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Mechanical Integrators, Including the Various Forms of Planimeters (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780366628957
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Mechanical Integrators, Including the Various Forms of Planimeters (Classic Reprint)
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780366628957
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