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Introductio geographica in Verneri annotationes / Horoscopium generale dignoscendis horis cuiuscumque generis aptissimum
by APIAN, Peter
- Used
- Very Good
- Hardcover
- first
- Condition
- Very Good
- Seller
-
Ritterhude, Germany
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About This Item
I. FIRST EDITION (in the later published title edition, the place of printing and the year are missing on the title page) of Peter Apian's introduction to practical geometry and computational astronomy, dedicated to Johann Wilhelm von Laubenberg. The book contains, besides Johannes Werner's notes and Apian's upon them, a Latin translation of the first book of Ptolemy's Geography, a letter of Regiomontanus, and descriptions of three instruments invented by Apian himself, namely the "Radius astronomicus", the "Quadrans novus" (a height quadrant with various auxiliary divisions) and the "Torquetum" ("Turkish instrument"). Apian was a student of Johannes Werner in theoretical cartography. Werner's treatises, contained in Johannes Stabius' collection of writings on geography (1514), were "included almost unchanged in Apian's Introductio geographica (1533); Apian even used the proof sheets from the beginning of "In eundem primum librum.argumenta" to the end of "Joannis de Regiomonte epistola.de compositione et usu cuiusdam meteoroscopii," and admits in several places in his writings how much he had learned from Werner." (DSB, on Werner).
Of peculiar interest is the early description of the calculation of a sine table. Apian's "Introductio geographica (1533) contains both a sine table . . . and a description. The Instrumentum sinuum seu primi mobilis also contains a small table of arc sines, the earliest such table of which I am aware with clearly trigonometric intent." (G. van Brummelen, The Doctrine of Triangles: A History of Modern Trigonometry, Princeton University Press, 2021, p.12. "The first table of sines seems to have been printed in 1490, as part of Regiomontanus' Tabulae directionum profectionumque. It was only 30 pages long and gave the sines for every minute and to a radius of 60000. According to Folkerts, this table was probably computed before 1463-1464 [36, p. 234]. Most of the tables published during the 16th century are ultimately based on this table or on other tables constructed by Regiomontanus. Next came Peter Apian (1495-1552) who published his Introductio geographica in 1533." (D. Roegel, A reconstruction of the tables of Rheticus' Canon doctrinæ triangulorum (1551). [Research Report] 2010. inria-00543931, p.3).
Further references: VD 16, A 3090; Adams A 1294; Dodgson II, 385.3; Gunther 27 ff.; van Ortroy 101; Schottenloher, Apian 33; Zinner 1516; R. Gebhardt, Rechenmeister und Cossisten der frühen Neuzeit. TU Bergakademie Freiberg. Freiberg 1996, p.139).
II. FIRST AND ONLY EDITION of this little treatise on Apian's "horoscope", "an instrument not for astrological purposes, but for geodatic and chronometric purposes, which can be seen as an improvement of Peurbach's 'geometric square'" (Gunther). Among the woodcuts there are also some astronomical representations and illustrations for finger arithmetic.
References: VD 16, A 3085; Adams A 1290; Gunther 40; van Ortroy 100; Dodgson II, 386.2; Schottenloher, Apian 37; Zinner 1512; Houzeau-L. I, 2395.
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Details
- Bookseller
- Milestones of Science Books
(DE)
- Bookseller's Inventory #
- 003414
- Title
- Introductio geographica in Verneri annotationes / Horoscopium generale dignoscendis horis cuiuscumque generis aptissimum
- Author
- APIAN, Peter
- Illustrator
- Astronomy, Geography, sine tables, instruments, trigonometry, geometry, Werner, Regiomontanus
- Format/Binding
- Hardcover
- Book Condition
- Used - Very Good
- Quantity Available
- 1
- Edition
- 1st Edition
- Publisher
- Apian
- Place of Publication
- Ingolstadt
- Date Published
- 1533
- Keywords
- Astronomy, geometry, instruments, mathematics, chronometry
- Bookseller catalogs
- Mathematics; Astronomy;
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