Probleme de Dynamique in Suite des Memoires de Mathematique et de Physique pp. 504-532, Annee 1747 [CONSERVATION OF ANGULAR MOMENTUM]
by D'Arcy, Patrick [Patrice Darcy] [Chevalier Patrice D'Arci]
- Used
- first
- Condition
- See description
- Seller
-
West Branch, Iowa, United States
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About This Item
Amsterdam: Mortier, 1747. 1st Edition. FIRST EDITION OF D'ARCY'S PROPOSED AN EARLY VERSION OF THE CONCEPT OF CONSERVATION OF ANGULAR MOMENTUM FOR ORBITING BODIES. Extract in fine condition housed in a custom pamphlet case; text block complete.
"In physics, angular momentum is the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant" (Wikipedia). "Seen another way, a rotational analogue of Newton's first law of motion might be written, "A rigid body continues in a state of uniform rotation unless acted by an external influence." Thus with no external influence to act upon it, the original angular momentum of the system remains constant" (BK101).
Patrick D'Arcy (1725-1779) was an Irish mathematician whose proposal of the concept of conservation of angular momentum included two postulates. "The first is a generalization of Kepler's second law. D'Arcy proposed that the areal velocity of any orbiting body of a particular mass is identical regardless of the radius of the orbit or the position in the orbit. Kepler's second law just proposed the conservation of areal velocity for a specific orbit.
"D'Arcy's second concept is that the orbital velocity of any body is inversely proportional to its mass. In other words, Mars has a higher orbital velocity than Earth would have at the same distance, and the ratio of orbital velocities of Earth and Mars at the same distance from the Sun would be the inverse of the ratio of their masses. These two concepts together comprise D'Arcy's ‘conservation of momentum for rotary motion,' and for orbiting bodies this is equivalent to ‘conservation of angular momentum'" (Wenner Collection). CONDITION & DETAILS: Extract in fine condition housed in custom pamphlet case gilt-lettered at the spine. The text block remains tightly bound. 6 plates. Bright and clean.
"In physics, angular momentum is the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant" (Wikipedia). "Seen another way, a rotational analogue of Newton's first law of motion might be written, "A rigid body continues in a state of uniform rotation unless acted by an external influence." Thus with no external influence to act upon it, the original angular momentum of the system remains constant" (BK101).
Patrick D'Arcy (1725-1779) was an Irish mathematician whose proposal of the concept of conservation of angular momentum included two postulates. "The first is a generalization of Kepler's second law. D'Arcy proposed that the areal velocity of any orbiting body of a particular mass is identical regardless of the radius of the orbit or the position in the orbit. Kepler's second law just proposed the conservation of areal velocity for a specific orbit.
"D'Arcy's second concept is that the orbital velocity of any body is inversely proportional to its mass. In other words, Mars has a higher orbital velocity than Earth would have at the same distance, and the ratio of orbital velocities of Earth and Mars at the same distance from the Sun would be the inverse of the ratio of their masses. These two concepts together comprise D'Arcy's ‘conservation of momentum for rotary motion,' and for orbiting bodies this is equivalent to ‘conservation of angular momentum'" (Wenner Collection). CONDITION & DETAILS: Extract in fine condition housed in custom pamphlet case gilt-lettered at the spine. The text block remains tightly bound. 6 plates. Bright and clean.
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Details
- Bookseller
- Atticus Rare Books (US)
- Bookseller's Inventory #
- 1421
- Title
- Probleme de Dynamique in Suite des Memoires de Mathematique et de Physique pp. 504-532, Annee 1747 [CONSERVATION OF ANGULAR MOMENTUM]
- Author
- D'Arcy, Patrick [Patrice Darcy] [Chevalier Patrice D'Arci]
- Book Condition
- Used
- Quantity Available
- 1
- Edition
- 1st Edition
- Publisher
- Mortier
- Place of Publication
- Amsterdam
- Date Published
- 1747
Terms of Sale
Atticus Rare Books
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About the Seller
Atticus Rare Books
Biblio member since 2010
West Branch, Iowa
About Atticus Rare Books
We specialize in rare and unusual antiquarian books in the sciences and the history of science. Additionally, we specialize in 20th century physics, mathematics, and astronomy.
Glossary
Some terminology that may be used in this description includes:
- Text Block
- Most simply the inside pages of a book. More precisely, the block of paper formed by the cut and stacked pages of a book....
- Fine
- A book in fine condition exhibits no flaws. A fine condition book closely approaches As New condition, but may lack the...
- First Edition
- In book collecting, the first edition is the earliest published form of a book. A book may have more than one first edition in...
- Spine
- The outer portion of a book which covers the actual binding. The spine usually faces outward when a book is placed on a shelf....