"However, it may be owing to Jupiter's ascendancy that I take greater
delight in the application of geometry to physics, than in that abstract
pursuit which partakes of the dryness of Saturn; and it is perhaps the
gibbous moon, in the bright constellation of the Bull's forehead, which
fills my mind with fantastic images."
The most remarkable thing contained in the 5th Book, is the announcement
of the celebrated law connecting the mean distances of the planets with
the periods of their revolution about the Sun. This law is expressed in
mathematical language, by saying that the squares of the times vary as
the cubes of the distances.[194] Kepler's rapture on detecting it was
unbounded, as may be seen from the exulting rhapsody with which he
announced it. "What I prophecied two-and-twenty years ago, as soon as I
discovered the five solids among the heavenly orbits—what I firmly
believed long before I had seen Ptolemy's 'Harmonics'—what I had
promised my friends in the title of this book, which I named before I
was sure of my discovery—what, sixteen years ago, I urged as a thing to
be sought—that for which I joined Tycho Brahe, for which I settled in
Prague, for which I have devoted the best part of my life to
astronomical contemplations, at length I have brought to light, and have
recognized its truth beyond my most sanguine expectations. Great as is
the absolute nature of Harmonics with all its details, as set forth in
my third book, it is all found among the celestial motions, not indeed
in the manner which I imagined, (that is not the least part of my
delight,) but in another very different, and yet most perfect and
excellent. It is now eighteen months since I got the first glimpse of
light, three months since the dawn, very few days since the unveiled
sun, most admirable to gaze on, burst out upon me. Nothing holds me; I
will indulge in my sacred fury; I will triumph over mankind by the
honest confession, that I have stolen the golden vases of the
Egyptians[195], to build up a tabernacle for my God far away from the
confines of Egypt. If you forgive me, I rejoice; if you are angry, I can
bear it: the die is cast, the book is written; to be read either now or
by posterity, I care not which: it may well wait a century for a reader,
as God has waited six thousand years for an observer."
He has told, with his usual particularity, the manner and precise moment
of the discovery. "Another part of my 'Cosmographical Mystery,'
suspended twenty-two years ago, because it was then undetermined, is
completed and introduced here, after I had discovered the true intervals
of the orbits, by means of Brahe's observations, and had spent the
continuous toil of a long time in investigating the true proportion of
the periodic times to the orbits,
Sera quidem respexit inertem,
Respexit tamen, et longo post tempore venit.
Public-domain text, read in full here on John Shaqi.
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