Knobloch, Eberhard (Editor)

Les Belles Lettres

Publication Date: 2018

Physical Details: 344 pp.

Language: EnglishLatin

Physical Details: 344 pp.

Language: EnglishLatin

Johannes Kepler (Weil der Stadt, 1571-Regensburg, 1630) is the famous astronomer and mathematician who discovered the three planetary laws named after him. In 1615 he published the Nova stereometria doliorum vinariorum // New solid geometry of wine barrels, his most important mathematical monograph. It made him a precursor of infinitesimal mathematics. He himself told the reader in the dedication to his two patrons that his second marriage caused him to write this mathematical treatise. When he stocked up with wine barrels in his capacity as head of a new family he was astonished at the way in which the seller used the gauging rod. The man explored all wine barrels with one and the same rod indifferently without paying heed to the shape, and without ratiocination or calculation.Hence Kepler felt obliged to try to lay down, according to geometrical laws, a new foundation for the mathematical certainty of this measurement and to bring to light its fundamentals, if there should be any. To that end he began with a new interpretation of Archimedes's results in plane and solid geometry that was based on indivisibles considered as infinitely small quantities. He could not know that his Greek predecessor had used the same method in his letter to Eratosthenes, known as Approach related to mechanical theorems, rediscovered by Johan L. Heiberg in 1906.Yet, Kepler surpassed the results of his model by his own results. He investigated the volumes of surfaces of rotation like the volumes of apples, lemons, and spindles, that is, he investigated the solid geometry of figures that are closest to conoids and spheroids. But Kepler's treatise is by no means restricted to its role in the prehistory of the calculus. The second part is full of non-trivial, new results concerning the special relations between cylinders and so-called conjugate conical frustums. He demonstrated that the Austrian barrel has the largest volume among all barrels with the same gauging length. Thus the third part explains the use of the gauging rod.The volume presents, along with the original Latin text, the first complete translation of Kepler's monograph into any modern European language, in this case into English. The comprehensive introduction includes a survey of Kepler's life and works and explains the main ideas, methods, and results of this mathematical masterpiece.

...More
Reviewed By

Review
Todd Timberlake
(2019)
Review of "Nova Stereometria Dolorium Vinariorum/ New Solid Geometry of Wine Barrels".
*Isis: International Review Devoted to the History of Science and Its Cultural Influences*
(pp. 177-178).

Review
Todd Timberlake
(2019)
Review of "Nova Stereometria Dolorium Vinariorum/ New Solid Geometry of Wine Barrels".
*Isis: International Review Devoted to the History of Science and Its Cultural Influences*
(pp. 177-178).

Citation URI

Book
Marco Andreatta;
(2021)

Archimede, L'arte della misura
(/isis/citation/CBB632974599/)

Book
Hayash, Eiji;
Saito, Ken;
(2009)

Tenbin no majutsushi arukimedesu no sugaku
(/isis/citation/CBB001210177/)

Article
Glasner, Ruth;
(2013)

Hebrew Translations in Medieval Christian Spain: Alfonso of Valladolid Translating Archimedes?
(/isis/citation/CBB001213459/)

Article
Argante Ciocci;
(2015)

Luca Pacioli e l'Archimede latino
(/isis/citation/CBB290781922/)

Article
Young, Gregg De;
(2008)

Book XVI: A Mediaeval Arabic Addendum to Euclid's *Elements*
(/isis/citation/CBB000931526/)

Book
Arquímedes, ;
Durán, Antonio J.;
(2006)

Arquímedes: Obras escogidas
(/isis/citation/CBB000930390/)

Book
Archimedes, ;
Masià Fornos, Ramon;
(2010)

Sobre l'esfera i el cilindre
(/isis/citation/CBB001024847/)

Article
Nauenberg, Michael;
(2003)

Kepler's Area Law in the *Principia*: Filling in some Details in Newton's Proof of Proposition 1
(/isis/citation/CBB000410830/)

Book
David S. Richeson;
(2019)

Tales of Impossibility: The 2000-Year Quest to Solve the Mathematical Problems of Antiquity
(/isis/citation/CBB243851906/)

Book
Marc Moyon;
(2017)

La géométrie de la mesure dans les traductions arabo-latines médiévales
(/isis/citation/CBB684079267/)

Article
Hogendijk, Jan P.;
(2008)

Two Beautiful Geometrical Theorems by Abū Sahl Kūhī in a 17th Century Dutch Translation
(/isis/citation/CBB001510407/)

Article
Hogendijk, Jan P.;
(2003)

The Geometrical Problems of Nu`aim ibn Muḥammad ibn Mūsā
(/isis/citation/CBB000411101/)

Article
Malet, Antoni;
(2003)

Kepler and the Telescope
(/isis/citation/CBB000330673/)

Article
Zik, Yaakov;
Hon, Giora;
(2012)

The Eccentricity of the Sun: Kepler's Novel Method of Calculation
(/isis/citation/CBB001232487/)

Article
Dunlop, Katherine;
(2012)

The Mathematical Form of Measurement and the Argument for Proposition I in Newton's *Principia*
(/isis/citation/CBB001211480/)

Article
Arthur, Richard T. W.;
(2013)

Leibniz's Syncategorematic Infinitesimals
(/isis/citation/CBB001211764/)

Article
Paolo Rossini;
(2018)

Giordano Bruno and Bonaventura Cavalieri's Theories of Indivisibles: A Case of Shared Knowledge
(/isis/citation/CBB673048475/)

Article
Galuzzi, Massimo;
(2010)

Newton's Attempt to Construct a Unitary View of Mathematics
(/isis/citation/CBB001022150/)

Article
Blåsjö, Viktor;
(2012)

The Rectification of Quadratures as a Central Foundational Problem for the Early Leibnizian Calculus
(/isis/citation/CBB001251213/)

Article
Parmentier, Marc;
(2001)

Démonstration et infiniment petits dans la *Quadratura arithmetica* de Leibniz
(/isis/citation/CBB000770921/)

Be the first to comment!