Antiquariat Kainbacher
Kepler, Johannes 
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Kepler, Johannes Harmonices Mundi Libri V. Linz, Johannes Plancus 1619. Folio (302 x 196 mm). [iv], 66, 255 pp. Title-page, leaves *2-*4 (containing the dedication to James I) and the 5 engraved plates in good facsimile. Woodcut text illustrations. Very minor foxing and browning, a few frayed edges repaired. Stamp of the Bibliotheca Regia Monacensis on title of book 1. Period style vellum over boards with manuscript in ink on spine. EUR 58000,- Dibner 6. Horblit 58. Sparrow 115, Norman 1207. - First Edition. Kepler's third law of planetary motion-that the squares of the orbital periods of planets are directly proportional to the cubes of the major axis (the "length" of the ellipse) of the orbits-was announced in Book 5 of his major treatise on the harmony of the universe. Harmonices mundi represents Kepler's attempt to discover God's archtypal model of the universe in the simple mathematical ratios embodied in the five regular polyhedrons, in the laws of musical harmony (based upon the seven ratios recently accepted as the basis of the "just" scale), in his own theory of astrological aspects, and in the planetary system he had proposed in Mysterium cosmographicum (1596), in which the mean distances of the planets from the sun were in proportions related to spheres inscribing and circumscribing the five regular solids. Book 1, devoted to investigation of polygons and polyhedrons, introduced the great and small stellated dodecahedrons, rediscovered in 1810 by Louis Poinsot; these, along with the two others of this class, are now known as the "Kepler-Poinsot" solids. Caspar, Bibliographia Kepleriana 58; Kepler, pp. 264-290. DSB Titelblatt und Widmung an den englischen König Jakob (5 Seiten) sowie die Tafeln in Faksimile, Haupttext Liber I-V in Original (255 Seiten). Aus der königlichen Bibliothek in München (Stempel), abgegeben als Doppelstück von der Bayr. Staatsbibliothek (Stempel) . Das in diesem Werk stehende 3. Kepler´sche Gesetz: „Die Quadrate der Umlaufzeiten verhalten sich wie die dritten Potenzen der mittleren Abstände“ ist auf Seite 189 unten zu finden.
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