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#Johannes Kepler
philosophors · 11 days
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“I much prefer the sharpest criticism of a single intelligent man to the thoughtless approval of the masses.”
— Johannes Kepler
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ton-618-ton-618 · 19 days
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2024 March 30
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Medieval Astronomy from Melk Abbey
Image Credit: Paul Beck (Univ. Vienna), Georg Zotti (Vienna Inst. Arch. Science)
Copyright: Library of Melk Abbey, Frag. 229
Explanation: Discovered by accident, this manuscript page provides graphical insight to astronomy in medieval times, before the Renaissance and the influence of Nicolaus Copernicus, Tycho de Brahe, Johannes Kepler, and Galileo. The intriguing page is from lecture notes on astronomy compiled by the monk Magister Wolfgang de Styria before the year 1490. The top panels clearly illustrate the necessary geometry for a lunar (left) and solar eclipse in the Earth-centered Ptolemaic system. At lower left is a diagram of the Ptolemaic view of the Solar System with text at the upper right to explain the movement of the planets according to Ptolemy's geocentric model. At the lower right is a chart to calculate the date of Easter Sunday in the Julian calendar. The illustrated manuscript page was found at historic Melk Abbey in Austria.
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quasi-normalcy · 11 months
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dreams-of-mutiny · 9 months
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Johannes Kepler's depiction of the geocentric motions of Mars, from Astronomia Nova (1609).
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fashionlandscapeblog · 7 months
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When Kepler found his long-cherished belief did not agree with the most precise observation, he accepted the uncomfortable fact. He preferred the hard truth to his dearest illusions, that is the heart of science.
― Carl Sagan, Harmony of the Worlds, Cosmos, Episode III
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existentialcomicsfeed · 9 months
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Great Thinkers See the Present Day
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yama-bato · 1 year
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1. Kepler's Platonic solid model of the Solar System from Mysterium Cosmographicum
2.https://www.georgehart.com/virtual-polyhedra/kepler.html
https://archive.bridgesmathart.org/2011/bridges2011-379.pdf
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We do not ask for what useful purpose the birds do sing, for song is their pleasure since they were created for singing. Similarly, we ought not to ask why the human mind troubles to fathom the secrets of the heavens. The diversity of the phenomena of nature is so great and the treasures hidden in the heavens so rich precisely in order that the human mind shall never be lacking in fresh nourishment.
—Johannes Kepler, Mysterium Cosmographicum epis p 2 (1596). Below: the quoted passage from the first edition, in Latin.
[Robert Scott Horton]
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lindahall · 4 months
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Johannes Kepler – Scientist of the Day
Johannes Kepler, a German astronomer, was born Dec. 27, 1571.
read more...
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dispelzine · 3 months
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Scientific Genius / The Method of Cosmic Thinking (in 4 Lifetimes)
The Genius / The Conjecture / The Tradition / The Experiment
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garadinervi · 1 year
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Johannes Kepler, December 27, 1571 / 2022
(images: Johannes Kepler, Strena seu de Nive sexangula, Godfried Tampach, Frankfurt am Main, 1611. Milestones of Science Books, Ritterhude)
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paganimagevault · 2 years
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The Pentagram of Pythagoras
"Pythagoras was the first of the great teachers of ancient Greece. Born in 580 B.C., Pythagoras became one of the most well known philosophers and mathematicians in history. Creating the Pythagorean Brotherhood, his teachings greatly influenced Socrates, Plato, and Aristotle. Pythagoras is considered as the first pure mathematician; he also founded a community/society based on religion and science. He is most widely known as the author of the Pythagorean Theorem. Some even venture to believe that the word “philosophy” was invented by Pythagoras. He claimed to be a lover of wisdom, for which the Greek word philo means love and Sophia means wisdom.
The Teachings of Pythagoras revolved around the idea that when considering the deepest level, reality is essentially mathematical in nature. Pythagoreans believed there was a system of principles that existed behind numbers. The principles form a foundation for many concepts of traditional Western thought. One of his most basic notions revolves around the symbolism and beauty associated with the Divine Proportion.
The shape of the pentad follows as the symbol of life itself. The pentad consists of all previous numerical symbols: monad’s point, the dyad’s line, the triad’s surface, and the tetrad’s three dimensional volume. The pentad also refers to the well known five point star. The pentad arises in the existence of our five fingers, five toes, the symbol that wards off evil, and a symbol for power and immunity. Because of the importance of the pentad, the construction of the symbol was first kept secret from society. The pentad was used as a secret sign among the Pythagoreans for them to distinguish themselves and recognize other members.
The pentad’s symbolism can be directly related to the Divine Proportion. And the regeneration of the pentad is related to the value of phi (Ф). The image of the pentad is found in nature in leaves and flowers. The Greeks believed each point of the pentad to represent an element: water, earth, air, fire, and idea.
At any rate all his [Pythagoras'] school in serious letters to each other began straightway with 'Health to you,' as a greeting most suitable for both body and soul, encompassing all human goods. Indeed the Pentagram, the triple intersecting triangle which they use as a symbol of their sect, they called 'Health'.
Johannes Kepler (1571-1630) wrote: "Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel."
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"The axial structure of B-DNA is shown in Figures 2 and 4. The rotation of each base pair by 36◦, in the canonical B-DNA molecule, gives a complete 360◦ rotation every 10 base pairs and results in a decagonal structure and ten-fold rotational symmetry. These properties alone relate the axial structure of the molecule to Φ. Although a molecule with a decagonal form might be expected to show some simple relationship to Φ, and while there is always a danger in seeing patterns where there may be none, the axial form of B-DNA is neatly encompassed by 10 “golden diamonds” (refer Figure 1), the template of which is shown in Figure 4B, and overlaid on Figure 4A such that points (a) and (c) are located on the outermost hydrogens and point (b) is between the outer oxygen atoms."
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"The ancient Greek followers of the mathematician Pythagoras kept the shape as their secret symbol, a signifier of wholeness or divine blessing. Nature.
The pentagram was a symbol, but also a window of sorts. It's not a shape so much as it is a relationship. Within it we find the Golden Ratio.
The Ratio is noted for both its seemingly fundamental aesthetic appeal and its (seemingly) persistent recurrence in natural and manmade systems, from plant biology to financial markets to human DNA.
It's a way of cutting up a line that appears to be preferred by nature, anyhow. Note that every time a line crosses another line, as in the sketch below, it results in a Golden Ratio relationship between the two resulting segments. So, follow a pentagram edge down until it hits the start of another point; that corner is a Golden joint of sorts.
It's possible to connect the points of a pentagram to come up with a new pentagon and, from the new pentagon, a new pentagram. And this can go on forever:
Presumably, the Pythagoreans spent a whole lot of time staring deeply into pentagrams. Tradition has it that a young Pythagorean, Hippasus of Metapontum, was doing just that when he happened up the first proof of the existence of irrational numbers, a startling revelation for the "all is number" crowd.
Hippasus noted what you see above, that the inner core of a pentagram is a pentagon, and inside of that could be found a new pentagram. Clearly, this went on pretty much forever. And it had to, which is what was eventually proved by the Greek.
Imagine Hippasus gazing into the trippy arrangement of nested pentagrams above. Each one lives within a pentagon, with its dimensions limited by that pentagon. All of these shapes clearly live within some hard and fast relationship; they define each other. That relationship is what we'd normally think of as a ratio. One shape is to the other as some quantity a is to some quantity b."
-taken from jwilson.coe.uga.edu, MDPI, freemasonrymatters, and vice
Sources and more detailed descriptions on my blog post: https://paganimagevault.blogspot.com/2022/05/the-pentagram-of-pythagoras.html
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dreams-of-mutiny · 9 months
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Johannes Van Loon, Andreas Cellarius Harmonia Macrocosmica, 1660/61
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berkesakar · 10 months
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2 sunny Johannes Kepler planet☀️💛
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solreefs · 1 year
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30 minutes into “Johannes Kepler: Storming the Heavens” and this is my takeaway
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painting by Brice Marden
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“Where there is matter, there is geometry.”
– Johannes Kepler
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