Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular polyhedral.
Valued today for its development of the third law of planetary motion, Harmonice mundi (1619) was intended by Kepler to expand on ancient efforts to discern a Creator's plan for the planetary system--an arrangement thought to be based on harmonic relationships. Challenging critics who characterize Kepler's theories of harmonic astronomy as "mystical," Bruce Stephenson offers the first thorough technical analysis of the music the astronomer thought the heavens made, and the logic that led him to find musical patterns in his data. In so doing, Stephenson illuminates crucial aspects of Kepler's intellectual development, particularly his ways of classifying and drawing inferences. Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular poly-hedral. He then examines in detail an early theory that relates the planets' vel-ocities to a musical chord, and analyzes Kepler's unpublished commentary on Ptolemy's Harmonics. Devoting most of his attention to Book Five of Harmonice mundi, in which Kepler elaborated on the musical structure of the planetary system, Stephenson lays important groundwork for any further evaluation of Kepler's scientific thought. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
On the forbidding fringes of the tundra, where years are marked by seasons of snow, humans war with immortals in the name of their shared gods. Irjan, a human warrior, is ruthless and lethal, a legend among the Brethren of Hunters. But even legends grow tired and disillusioned. Scarred and weary of bloodshed, Irjan turns his back on his oath and his calling to hide away and live a peaceful life as a farmer, husband, and father. But his past is not so easily left behind. When an ambitious village priest conspires with the vengeful comrades Irjan has forsaken, the fragile peace in the Northlands of Davvieana is at stake. His bloody past revealed, Irjan’s present unravels as he faces an ultimatum: return to hunt the immortals or lose his child. But with his son’s life hanging in the balance, as Irjan follows the tracks through the dark and desolate snow-covered forests, it is not death he searches for, but life.
AS THE WORLD BURNS, ONLY A DREAMER CAN SAVE IT New York, 2000. The United Nations has just planted its flag on Mars, and a Green Party senator is about to become the first female president of the United States. At a party in the almost-Utopian world, Kate and Ben fall in love. London, 1593. Kate wakes as Emilia, mistress to a nobleman and friend to a lowly court poet called Will. Afflicted by apocalyptic premonitions, she sets out to save the world. Each decision she makes as Emilia will change Kate's life with Ben forever.
Sovereign in purpose, infinitely powerful, and transcendent over all He has made, God is equally infinite in grace and mercy. He knows and cares about your every need. The Heavens provides a unique and extraordinary opportunity to soar above the distractions and burdens of life as one meets with, and worships the Creator of the universe. Over 100 fascinating devotions with stunning images, insightful and Biblical commentary, stirring poetry, and perfectly chosen scriptures are integrated around clearly presented topics in astronomy. A toolbox and jewel box combined, the Heavens both equips and inspires the soul to know and love God.
Everyone worships. But Jesus tells us that God is seeking a particular kind of worshiper. In True Worshipers, a seasoned pastor and musician guides readers toward a more engaging, transformative, and biblically faithful understanding of the worship God is seeking. True worship is an activity rooted in the grace of the gospel that affects every area of our lives. And while worship is more than just singing, God’s people gathering in his presence to lift their voices in song is an activity that is biblically based, historically rooted, and potentially life-changing. Thoroughly based in Scripture and filled with practical guidance, this book connects Sunday worship to the rest of our lives—helping us live as true worshipers each and every day.
The short poems in this book reflect the spiritual insights of some of the greatest poets, saints, and sages know to Buddhist, Christian, Hindu, Islamic, and Native American traditions.
In honor of the International Year of Astronomy and the 400th anniversary of Galileo Galilei's first astronomical observations, the Vatican and its century-old Observatory present "The Heavens Proclaim," an incredible demonstration of the beauty of the universe and the Catholic Church's role in its exploration.
