JOHANNES KEPLER’S

THE HARMONY OF THE WORLD

BOOK I.

CONCERNING THE ORIGIN, CLASSES,

ORDER, AND DIFFERENCES OF THE REGU-

lar figures that produce harmonic pro-

portions, by way of science

and demonstration.

Kepler's first book focuses on geometry, specifically the "regular figures" (like squares and triangles) which he believed formed the mathematical foundation for musical harmony and the structure of the universe.

Proclus (412–485 AD) was a Greek Neoplatonist philosopher whose commentaries on Euclid deeply influenced Kepler’s view that mathematics was the blueprint of creation.

Mathematics makes the greatest contribution to the study of nature original Greek: "φυσικὴν θεωρίαν", revealing the good order of the ratios according to which the UNIVERSE original Greek: "τὸ ΠΑΝ" (to Pan) has been fashioned, and showing that the simple and primary elements—held together in every way by symmetry and equality—are the appropriate figures through which the entire heavens were perfected, each part receiving its proper shape.

The privilege text is printed to the left and right of the central imperial emblem. This was an early form of copyright protection granted by the Holy Roman Emperor.