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The Harmony of the World

, Volume 209
Front Cover
3 Reviews
American Philosophical Society, 1997 - Biography & Autobiography - 549 pages
Johanne Kepler's "Harmonice mundi" was planned in 1599 as a sequel to the "Mysterium cosmographicum." In 1618 Kepler discovered the third law of planetary motion relating to the periodic times of the planets to their mean distances from the sun - a crowning achievement that enabled him to bring the "Harmonice mundi" to completeion. The authors have presented and interpreted Kepler's Latin text to readers of English, by putting it into "the kind of clear but earnest language which we suppose Kepler would have used if he had been writing today."
  

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I really appreciate the work of the authors, making this text accessible at no cost to modern English readers. It is slow reading for me, but really rewarding. One can understand Kepler's frame of mind and how he saw the world, and how this understanding provides the framework for his mathematical arguments.
I'm not a mathematician, but I do question whether all the illustrations are genuine or complete or correctly placed. I came across one or two sections where I had the feeling the diagrams weren't fully explained or supported by the text.
 

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Page xxxviii - write the book. Whether it is to be read by the people of the present or of the future makes no difference; let it await its reader for a hundred years, if God Himself has stood ready for six thousand years for one to study Him.""
Page 91 - the side of a regular hexagon inscribed in a circle is equal to the radius of the circle
Page 413 - distances of the Earth and Saturn from the Sun. For the cube root of 1 is 1, and the square of that is 1.
Page 58 - is the side of a square whose area is equal to that of a rectangle
Page 41 - add up to twice as many Right angles as the figure has sides, less four.
Page 268 - the archbishops of Mainz, Cologne, and Trier, the King of Bohemia, the Count Palatine and the Margrave of Brandenburg.
Page 57 - That is, the square of the side of the pentagon is equal to the sum of the squares of the sides of the
Page 392 - If you forgive me, I shall rejoice; if you are enraged with me, I shall bear it. See, I cast the die, and I write the book. Whether it is to be read by the people of the present or of the future makes no difference: let it await its reader for a hundred years, if God Himself has stood ready for six thousand years for one to study him.
Page 499 - as long as I shall live. For from Him and through Him and in Him are all things,
Page 302 - (He is not far from every one of us; in Him we live, move and have our being.)

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References from web pages

The Harmony of the World
A summary of Johannes Kepler's 'The Harmony of the World.
www.keplersdiscovery.com/ Harmonies.html

JSTOR: The Harmony of the World
The Harmony of the World. (Memoirs of the American Philosophical Soci- ety, 209.) Translated into English with an intro- duction and notes by ej Aiton, ...
links.jstor.org/ sici?sici=0021-1753(199809)89%3A3%3C539%3ATHOTW%3E2.0.CO%3B2-H

Willie Ruff
Since proportion is the key to Kepler's idea of the Harmony of the world, this recording can be played at slower or faster speeds. Slower speeds will lower ...
www.willieruff.com/ kepler.html

Harmony Software Project
Unfortunately, not even every American student of mathematics native to English would say that "The Harmony of the World" as a title in translation does ...
harmony.sourceforge.net/

Schiller Institute Kepler Translations
Translations of Works by Johannes Kepler. The Science of the Harmony of the World (1619) Preface to Book I. The Science of the Harmony of the World (1619) ...
www.schillerinstitute.org/ transl/ trans_kepler.html

The Harmony of the World
The Harmony of the World. Now, eighteen months after the first light, three months after the true day, but a very few days after the pure Sun of that most ...
www.wlym.com/ ~animations/ harmonies/ index.php

The Harmony Of The World By Johannes Kepler - Wikipedia, the free ...
Jump to: navigation, search. Look for The Harmony Of The World By Johannes Kepler on one of Wikipedia's sister projects: ...
en.wikipedia.org/ wiki/ The_Harmony_Of_The_World_By_Johannes_Kepler

Kepler's Discovery, or the Hoofprint of Incompetence?
The question of elliptical motion is a crucial part of Kepler's The Harmony of the World. For a pedagogical example of the nature of the ellipse, and, ...
www.larouchepub.com/ lym/ 2007/ 3436kepler_or_incompetence.html

Excerpt from the Chapter II of the Book III of the Harmony of the ...
An excerpt from the Book III of "The Harmony of the World by Johannes Kepler" (an English translation of "Harmonices Mundi", latin original published at ...
ndirty.cute.fi/ ~karttu/ Kepler/ a086592.htm

"The Music of the Spheres" by im Oderberg
The Harmony of the World (Harmonice mundi). Discarding the then current superstitions and misinformed speculation, through the cloud of which Kepler had to ...
www.theosophy-nw.org/ theosnw/ science/ sc-imo5.htm

About the author (1997)

Johannes Kepler (1571 - 1631) was an important figure in the seventeenth century astronomical revolution. He is best known for his eponymous laws of planetary motion. Kepler wrote: "If there is anything that can bind the heavenly mind of man to this dusty exile of our earthly home...then it is verily the enjoyment of the mathematical sciences and astronomy.