Johannes Kepler’s

THE HARMONY OF THE WORLD

FIVE BOOKS

The first is GEOMETRICAL, concerning the origin and classes of Regular Figures original: "Figurarum Regularium"; these are symmetrical shapes like squares or equilateral triangles, which constitute Harmonic Proportions.

The second is ARCHITECTURAL, or FROM SHAPED GEOMETRY, concerning the Congruence The way shapes fit together without gaps, like floor tilings of Regular Figures in a plane or a solid:

The third is properly HARMONIC, concerning the origin of Harmonic Proportions from Figures; and concerning the Nature and Differences of things pertaining to song original: "cantum"; referring here to music theory, in opposition to the Ancients:

The fourth is METAPHYSICAL, PSYCHOLOGICAL & ASTROLOGICAL, concerning the mental Essence of Harmonies and their types in the World; especially concerning the Harmony of rays descending from celestial bodies to the Earth, and its effect on Nature or the sublunary Earthly and Human Soul:

The fifth is ASTRONOMICAL & METAPHYSICAL, concerning the most perfect Harmonies of celestial motions, and the origin of Eccentricities the degree to which an orbit deviates from a perfect circle from Harmonic proportions.

The Appendix contains a comparison of this Work with Book III of the distinguished Ptolemy’s Claudius Ptolemy, the 2nd-century astronomer Harmonics, and with the discourse of Robert Fludd original: "Iohannis Roberti"; Kepler refers to the English physician and mystic Robert Fludd, the Oxford physician...

NOW ADDED TO THE SPECIAL MATHEMATICAL KNOWLEDGE

... concerning ...?

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