2
STIRLING EXPANDS NEWTON'S WORK ON CUBICS. STIRLING, JAMES. 1692-1770. Lineae tertii ordinis Neut...
1/3
Das Auktionshaus hat für dieses Los keine Ergebnisse veröffentlicht
New York, New York
Beschreibung
STIRLING EXPANDS NEWTON'S WORK ON CUBICS. STIRLING, JAMES. 1692-1770. Lineae tertii ordinis Neutonianae, sive illustratio tractatus D. Neutoni de enumeratione linearum tertii ordinis. Oxford: at the Sheldonian Theatre, 1717. 8vo (xxx x xxx mm). Engraving of the Sheldonian Theater to title page; woodcut diagrams in text. 19th-century morocco, gilt arms of William Stirling-Maxwell to upper cover. Provenance: 'G.M.' (inscription to title page); Sir William Stirling Maxwell (armorial binding, his bookplate to pastedown). RARE FIRST EDITION OF THE FIRST SYSTEMATIC TREATMENT OF NEWTON'S CUBICS, AND THE AUTHOR'S FIRST BOOK—THE STIRLING FAMILY COPY. Newton's classification of cubic curves first appeared in 1704, as an appendix to his Optics, Lineae tertii ordinis Neutonianae ('Newton's Enumeration Of Lines Of The Third Order'). Newton showed that all cubics can be generated by the projection of the five divergent cubic parabolas, but his classification of cubics was incomplete (including only 72 out of 78 possible types). While Newton defined the cubic curves geometrically, Stirling provided proofs using the emerging calculus, and identified 4 more (Nicole and Bernoulli would complete the classification). Stirling also provides the proof for solving Leibniz's problem of orthogonal trajectories, which he had solved while still an undergraduate at Oxford in 1715 (see John Keill to Isaac Newton, June 24, 1715). 'Stirling's influence as a mathematician of profound analytical skill has been a notable feature within the inner circle of mathematicians. Witness, for example, the tribute of praise rendered by Laplace in his papers on Probability and on the Laws of Functions of very large numbers. Binet, in a celebrated memoir on Definite Integrals, has shown Stirling's place as a pioneer of Gauss' (Tweedle, James Stirling, 1922, 'Preface'). Stirling was the cousin of the Stirlings of Keir, from which William Stirling-Maxwell descended. James Stirling's only daughter, Christian, married her cousin Archibald Stirling, of Garden. Of the two known books from James Stirling's library, one was given to Bernoulli in 1719, and the other, on Geometry ended up at Garden, presumably through his daughter. It seems likely that this volume, not generally representative of William Stirling-Maxwell's vast library, also descended from James Stirling through his daughter. For further information on this lot please visit Bonhams.com For further information about this lot please visit the lot listing
Auktionsdetails
Versand
AGB & Wichtige Informationen
Stellen Sie dem Verkäufer eine Frage
STIRLING EXPANDS NEWTON'S WORK ON CUBICS. STIRLING, JAMES. 1692-1770. Lineae tertii ordinis Neutonianae, sive illustratio tractatus D. Neutoni de enumeratione linearum tertii ordinis. Oxford: at the Sheldonian Theatre, 1717. 8vo (xxx x xxx mm). Engraving of the Sheldonian Theater to title page; woodcut diagrams in text. 19th-century morocco, gilt arms of William Stirling-Maxwell to upper cover. Provenance: 'G.M.' (inscription to title page); Sir William Stirling Maxwell (armorial binding, his bookplate to pastedown). RARE FIRST EDITION OF THE FIRST SYSTEMATIC TREATMENT OF NEWTON'S CUBICS, AND THE AUTHOR'S FIRST BOOK—THE STIRLING FAMILY COPY. Newton's classification of cubic curves first appeared in 1704, as an appendix to his Optics, Lineae tertii ordinis Neutonianae ('Newton's Enumeration Of Lines Of The Third Order'). Newton showed that all cubics can be generated by the projection of the five divergent cubic parabolas, but his classification of cubics was incomplete (including only 72 out of 78 possible types). While Newton defined the cubic curves geometrically, Stirling provided proofs using the emerging calculus, and identified 4 more (Nicole and Bernoulli would complete the classification). Stirling also provides the proof for solving Leibniz's problem of orthogonal trajectories, which he had solved while still an undergraduate at Oxford in 1715 (see John Keill to Isaac Newton, June 24, 1715). 'Stirling's influence as a mathematician of profound analytical skill has been a notable feature within the inner circle of mathematicians. Witness, for example, the tribute of praise rendered by Laplace in his papers on Probability and on the Laws of Functions of very large numbers. Binet, in a celebrated memoir on Definite Integrals, has shown Stirling's place as a pioneer of Gauss' (Tweedle, James Stirling, 1922, 'Preface'). Stirling was the cousin of the Stirlings of Keir, from which William Stirling-Maxwell descended. James Stirling's only daughter, Christian, married her cousin Archibald Stirling, of Garden. Of the two known books from James Stirling's library, one was given to Bernoulli in 1719, and the other, on Geometry ended up at Garden, presumably through his daughter. It seems likely that this volume, not generally representative of William Stirling-Maxwell's vast library, also descended from James Stirling through his daughter. For further information on this lot please visit Bonhams.com For further information about this lot please visit the lot listing
History of Science and Technology
Endet ab
Ort der Versteigerung
580 Madison Avenue
New York
New York
10022
United States
...
Wichtige Informationen
This auction is now finished. If you are interested in consigning in future auctions, please contact the specialist department. If you have queries about lots purchased in this auction, please contact client services.
You are advised to visit www.bonhams.com for any additional information regarding auction 29514 which may have come to light for any Lot after producing the catalogue, which will be included in a "Sale Room Notice" accompanying each Lot.
AGB
Buyers' Obligations
ALL BIDDERS MUST AGREE THAT THEY HAVE READ AND UNDERSTOOD BONHAMS' CONDITIONS OF SALE AND AGREE TO BE BOUND BY THEM, AND AGREE TO PAY THE BUYER'S PREMIUM AND ANY OTHER CHARGES MENTIONED IN THE NOTICE TO BIDDERS. THIS AFFECTS THE BIDDERS LEGAL RIGHTS.
If you have any complaints or questions about the Conditions of Sale, please contact your nearest client services team.
Buyers' Premium and Charges
For all Sales categories excluding Arms & Armour, Coins and Medals, Motor Cars, Motorcycles, Wine & Whisky
28% on the first $50,000 of the hammer price;
27% of the hammer price of amounts in excess of $50,000 up to and including $1,000,000;
21% of the hammer price of amounts in excess of $1,000,000 up to and including $6,000,000;
and 14.5% of the hammer price of any amounts in excess of $6,000,000.
A 3rd-party bidding platform fee (the "3rd-party bidding platform fee") equal to 4% of THE BID PRICE shall be payable by buyers whose successful bid is submitted via 3rd-party bidding platforms, including Invaluable; Live Auctioneers; The Saleroom; Lot-tissimo.
Payment Notices
Payment for purchases may be made in or by (a) cash, (b) cashier's check or money order, (c) personal check with approved credit drawn on a U.S. bank, (d) wire transfer or other immediate bank transfer, or (e) Visa, MasterCard, American Express or Discover credit, charge or debit card for returning clients only. Please note that the amount of cash notes and cash equivalents that can be accepted from a given purchaser may be limited.
Shipping Notices
If you have requested a shipping quote, we will send this to you via email within 5 business days of the auction ending.
Please note our shipping quotes are bespoke and require special care and handling from our team and shippers. Shipping will be booked after payment is received. Please allow 7-14 business days from the time of booking for packing and dispatch, depending on your chosen shipping method. If your purchase is time sensitive, or you wish to explore other options, please see our list of alternative third party shippers in New York and Los Angeles who may be able to assist you.
Oversized Lots
Please note that all lots marked with a W in the catalog are oversized and subject to additional storage and shipping methods. All additional lots purchased with W lots are considered group lots and will be subject to the same terms as W lots.
W Lots will be transferred to offsite storage at DTD Fine Art Services at the buyer's risk and expense within five (5) business days following the auction. Please contact the Client Services team at bids.us@bonhams.com for the exact movement date.
The per-lot charges levied by DTD Fine Art Services are as follows (plus any applicable sales tax):
FURNITURE/LARGE OBJECTS
Transfer .................. $75
Daily storage........... $10
Insurance (on Hammer + Premium + tax) 0.3%
SMALL OBJECTS
Transfer ................. $37.50
Daily storage........... $5
Insurance (on Hammer + Premium + tax) 0.3%
Please note property is also subject to a Cross Dock Release Fee ($25 for Smalls and $45 for Furniture and Large Objects) & if charges are paid with a credit card, Door to Door Fine Art Services will charge a 3% Convenience Fee.
If you have any questions, please contact our Client Services team.
