Geometric Properties Completely, Characterizing All the Curves, in a Plane Along Which the Constrained Strained Motion Is Such That the Pressure Is Proportional to the Normal Component of the Acting Force (Classic Reprint)
Language: English
Published by Forgotten Books, 2019
- Hardcover
- New
Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
US$ 37.38
Quantity: 15 available
Add to basketItem description from seller
New Book. Shipped from UK. Established seller since 2000.
Seller Inventory # LX-9780267800483
- Title
- Geometric Properties Completely, Characterizing All the Curves, in a Plane Along Which the Constrained Strained Motion Is Such That the Pressure Is Proportional to the Normal Component of the Acting Force (Classic Reprint)
- Author
- Sarah Elizabeth Cronin
- Publisher
- Forgotten Books
- Publication year
- 2019
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 0267800487
- ISBN 13
- 9780267800483
- Item weight
- 275 grams
Explore the geometry of curves shaped by a constant pressure along a moving line of force.
This nonfiction work studies how a particle travels in a plane under a position-based force and a pressure relation P = kN. It presents a complete, exact description of the family of curves defined by this rule and shows how their shapes are tied to a single differential equation, written in both intrinsic and Cartesian forms. The book reveals how the motion depends on initial direction and speed, yielding a rich, quadruply infinite array of trajectories.
Two clear sections frame the value:- It derives the governing equations and then examines the geometric properties that characterize all curves in the family.
- It connects special cases to familiar curves, like trajectories, brachistochrones, catenaries, and velocity curves, illustrating how they arise from particular parameter choices.
- A detailed look at how centers of osculating conics trace out new curves at each point.
- Visualizations of how curvature, tangents, and normal components interact under the pressure rule.
- Step-by-step reasoning that links intrinsic forms to Cartesian forms, plus implications for multiple systems.
- How to identify and describe infinite families of curves governed by a single law.
- Ways to interpret geometric properties such as centers of curvature, osculating conics, and higher-order contacts.
- The connections between general theory and the four “special cases of physical interest” that relate to common trajectory types.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
Fairford, GLOS, United Kingdom
AbeBooks seller since June 11, 1999
Shipping rates from United Kingdom to U.S.A.
| Item | 10 to 20 business days | 10 to 20 business days |
|---|---|---|
| First item | US$ 5.52 | US$ 5.52 |
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**Please note our transit times are from the date of dispatch.** We first started out as “The Paperback Exchange,” a chain of physical bookstores where we would part exchange your beloved books for new stories to transport you to faraway places. However, as shopping started to evolve to online shops and marketplaces, we bid our stores goodbye to become “PBShop.” This transition has only allowed us to blossom as we now ship thousands of titles to book lovers across the globe. We pride ourselves in being a community of local book lovers which allows our passion and devotion to shine in everything we do. In 2020 we not only celebrated our 20th birthday but our 1st birthday as being completely employee owned after becoming an E.O.T in September 2019. We are proud to be different and embrace standing apart on a book mountain by working from a virtual inventory which allows us to provide thousands of books that may be difficult to get for your bookshelf or your studies. Working with a number of different suppliers allows us to explore other avenues such as puzzles, sheet music and even stationery so we really do have something for everyone. Life is about being versatile in all realms of existence. If this is your first purchase with us, or you are a returning customer, we would like to welcome you to the PBShop family, for there is no friend as loyal as a book. We are a company who put our customers at the centre of everything we do as we understand the importance of reading because once you learn to read, you will forever be free. There are a whole lot of things in this world of ours that we are yet to explore, which is why we will forever inspire curious minds.…
Specialty
Hardbacks, PaperbacksSeller's business information
Pbshop.co.uk
Unit 22 Horcott Industrial Estate, Horcott Road
Fairford, United Kingdom GL7 4BX
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