Date modified: Mon 2023-09-18 . 09:01 AM
Date created: Sat 2023-10-07 . 09:02 PM
# Excerpt: Kepler's Harmonices Mundi. From the Library of Congress, Kepler's Harmonices Mundi pg. 189. You can view the entire work here [https://www.loc.gov/resource/rbc0001.2013gen09734/?st=gallery](https://www.loc.gov/resource/rbc0001.2013gen09734/?st=gallery) ![[1 teaching/summer program 2023/puzzles-and-problems/---files/Pasted image 20230831122402.png]] **Translation:** Eighthly: So far we have dealt with the different delays or arcs of one and the same planet. Now we must also deal with the comparison of the movements of two planets.... ...Therefore again, a certain part of my *Mysterium Cosmographicum*, which was suspended twenty-two years ago, because it was not yet clear, is to be completed and herein inserted. For after finding the true intervals of the spheres by the observations of Tycho Brahe and continuous labour and much time, at last, at last the right ratio of the periodic times to the spheres *though it was late, looked to the unskilled man,* *yet looked to him, and, after much time, came,* and, if you want the exact time, was conceived mentally on the 8th of March in this year One Thousand Six Hundred and Eighteen but unfelicitously submitted to calculation and rejected as false, finally, summoned back on the 15th of May, with a fresh assault undertaken, outfought the darkness of my mind by the great proof afforded by my labor of seventeen years on Brahe's observations and meditation upon it uniting in one concord, in such fashion that I first believed I was dreaming and was presupposing the object of my search among the principles. But it is absolutely certain and exact that *the ratio which exists between the periodic times of any two planets is precisely the ratio of the 3/2-th power of the mean distances,* .... ![[---images/---assets/---icons/question-icon.svg]] **Challenge question for a sticker.** Which **Latin word** above in the image of Kepler's original work corresponds to the fraction "3/2"?