Early works to 1800
Johannes Kepler; Stephen Hawking
|描述：||xvii, 89 pages : illustrations ; 23 cm.|
Concerning the five regular solid figures --
On the kinship between the harmonic ratios and the five regular figures --
A summary of astronomical doctrine necessary for speculation into the celestial harmonies --
In what things having to do with the planetary movements have the harmonic consonances been expressed by the creator, and in what way? --
In the ratios of the planetary movements which are apparent as it were to spectators at the sun, have been expressed the pitches of the system, or notes of the musical scale, and the modes of song (Genera Cantus), the major and the minor --
In the extreme planetary movements the musical modes or tones have somehow been expressed --
The universal consonances of all six planets, like common four-part counterpoint, can exist --
In the celestial harmonies which planet sings soprano, which alto, which tenor, which bass? --
The genesis of the eccentries in the single planets form the procurement of the consonances between their movements --
Epilogue concerning the sun, by way of conjecture.
|叢書名：||On the shoulders of giants (Philadelphia, Pa.)|
|責任：||by Johannes Kepler ; edited, with commentary by Stephen Hawking ; [translation by Andrew Motte].|
"Professor Hawking illuminates Johannes Kepler's revolutionary work, Harmonies of the World. An introductory essay with insights into Kepler's life and times makes the work of this revolutionary thinker accessible to a new generation of readers"--Back cover.