Why Investors are SHOCKED by Bank of Americaâs Warning [Trading Century]( At times, our affiliate partners reach out to the Editors at Trading Century with special opportunities for our readers. The message below is one we think you should take a close, serious look at. [divider] Diplomacy According to Diogenes Laërtius, Thales gained fame as a counselor when he advised the Milesians not to engage in a symmachia, a "fighting together", with the Lydians. This has sometimes been interpreted as an alliance.[38] Croesus was defeated before the city of Sardis by Cyrus the Great, who subsequently spared Miletus because it had taken no action. Cyrus was so impressed by Croesusâ wisdom and his connection with the sages that he spared him and took his advice on various matters.[citation needed] The Ionian cities should be demoi, or "districts". He counselled them to establish a single seat of government, and pointed out Teos as the fittest place for it; "for that," he said, "was the centre of Ionia. Their other cities might still continue to enjoy their own laws, just as if they were independent states."[39] Miletus, however, received favorable terms from Cyrus. The others remained in an Ionian League of twelve cities (excluding Miletus), and were subjugated by the Persians.[citation needed] Theories and studies Early Greeks, and other civilizations before them, often invoked idiosyncratic explanations of natural phenomena with reference to the will of anthropomorphic gods and heroes. Instead, Thales aimed to explain natural phenomena via rational hypotheses that referenced natural processes themselves.[40] Logos rather than mythos. Many, most notably Aristotle, regard him as the first philosopher in the Greek tradition,[41][42] Rather than theologoi or mythologoi, Aristotle referred to the first philosophers as physiologoi, or natural philosophers, and Thales as the first among them. Also, while the other Seven Sages were strictly law-givers and statesmen and not speculative philosophers, Plutarch noted "it would seem that Thales was the only wise man of the time who carried his speculations beyond the realm of the practical."[43] Water is the arche Thales depicted at the Baths of the Seven Sages. Thales's most famous idea was his philosophical and cosmological thesis that all is water, which comes down to us through a passage from Aristotle's Metaphysics.[44] In the work, Aristotle reported Thales's theory that the arche or originating principle of nature was a single material substance: water.[45] Aristotle then proceeded to proffer a number of conjectures based on his own observations to lend some credence to why Thales may have advanced this idea (though Aristotle did not hold it himself).[46][f] While Aristotle's conjecture on why Thales held water as the originating principle of matter is his own thinking, his statement that Thales held it as water is generally accepted as genuinely originating with Thales. Writing centuries later, Diogenes Laërtius also states that Thales taught "Water constituted (á½ÏεÏÏήÏαÏο, 'stood under') the principle of all things."[47][g] According to Aristotle:[49] That from which is everything that exists and from which it first becomes and into which it is rendered at last, its substance remaining under it, but transforming in qualities, that they say is the element and principle of things that are. â¦For it is necessary that there be some nature (ÏÏÏιÏ), either one or more than one, from which become the other things of the object being saved... Thales the founder of this type of philosophy says that it is water. Aristotle further adds: Presumably he derived this assumption from seeing that the nutriment of everything is moist, and that heat itself is generated from moisture and depends upon it for its existence (and that from which a thing is generated is always its first principle). He derived his assumption from this; and also from the fact that the seeds of everything have a moist nature, whereas water is the first principle of the nature of moist things."[45][h] Hello Fellow Investor! As a former Vice President of a big-time US invеstmеnt bаnk⦠I feel I must wаrn you about a development taking place that most people are not аwаre of. It could be the biggеst Ñhаnge to hit the US finаnÑiаl systеm in over 50 years. And if you have any mоnеy in the system (like most of us do), you need to pay close attention to this. Ðаnk of ÐmеriÑa recently issued a wаrning to their tÐ¾Ñ clients⦠Revealing that ALL chеÑking аÑÑounts are likely to be replaced by digital dоllаrs in the near future. But Bаnk of ÐmeriÑа customers wonât be the only ones affected⦠The 1870 book Dictionary of Greek and Roman Biography and Mythology noted:[42] In his dogma that water is the origin of things, that is, that it is that out of which every thing arises, and into which every thing resolves itself, Thales may have followed Orphic cosmogonies, while, unlike them, he sought to establish the truth of the assertion. Hence, Aristotle, immediately after he has called him the originator of philosophy brings forward the reasons which Thales was believed to have adduced in confirmation of that assertion; for that no written development of it, or indeed any book by Thales, was extant, is proved by the expressions which Aristotle uses when he brings forward the doctrines and proofs of the Milesian. (p. 1016) Most agree that Thales's stamp on thought is the unity of substance. Not merely the empirical claim that all is water, but the deeper philosophical claim that all is one. For example, Friedrich Nietzsche, in his Philosophy in the Tragic Age of the Greeks, wrote:[50] Greek philosophy seems to begin with an absurd notion, with the proposition that water is the primal origin and the womb of all things. Is it really necessary for us to take serious notice of this proposition? It is, and for three reasons. First, because it tells us something about the primal origin of all things; second, because it does so in language devoid of image or fable, and finally, because contained in it, if only embryonically, is the thought, "all things are one." Mathematics Thales was known for his introducting the theoretical and practical use of geometry to Greece, and is often considered the first person in the western world to have applied deductive reasoning to geometry, and by extension is often considered the West's "first mathematician."[6][51][52] He also proved skilled in arithmetic, and is credited with the West's oldest definition of number: a "collection of units," "following the Egyptian view".[53][54] The evidence for the primacy of Thales comes to us from a book by Proclus, who wrote a thousand years after Thales. but is believed to have had a copy of Eudemus's lost book History of Geometry.[i] Proclus wrote "Thales was the first to go to Egypt and bring back to Greece this study."[52] He goes on to tell us that in addition to applying the knowledge he gained in Egypt "He himself discovered many propositions and disclosed the underlying principles of many others to his successors, in some case his method being more general, in others more empirical."[52] In addition to Proclus, Hieronymus of Rhodes also cites Thales as the first Greek mathematician. Geometry Proclus attributed to Thales the discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. According to one author, while visiting Egypt,[22] Thales observed that when the Egyptians drew two intersecting lines, they would measure the vertical angles to make sure that they were equal.[55] Thales concluded that one could prove that all vertical angles are equal if one accepted some general notions such as: all straight angles are equal, equals added to equals are equal, and equals subtracted from equals are equal. Thales's theorem: if AC is a diameter and B is a point on the diameter's circle, the angle â ABC is a right angle. Several quotes on geometry are attributed to him. For example, he said: Megiston topos: apanta gar chorei (ÎÎγιÏÏον ÏÏÏοÏ· á¼ÏανÏα Î³á½°Ï ÏÏÏεá¿.) The greatest is space, for it holds all things.[56] Thales's theorems There are two theorems named after Thales in elementary geometry, one known as Thales's theorem has to do with a triangle inscribed in a circle and having the circle's diameter as one leg, the other theorem being also called the intercept theorem and is equivalent to the theorem about ratios in similar triangles. Right triangle inscribed in a circle Main article: Thales's theorem Pamphila says that, having learnt geometry from the Egyptians, he [Thales] was the first to inscribe in a circle a right-angled triangle, whereupon he sacrificed an ox.[52] This is sometimes cited as history's first mathematical discovery.[57] Due to the variations among testimonies, such as the story of the ox sacrifice being accredited to Pythagoras upon discovery of the Pythagorean theorem rather than Thales, some historians (such as D. R. Dicks) question whether such anecdotes have any historical worth whatsoever.[26] Thales's or intercept theorem: D E B C = A E A C = A D A B \textstyle {\frac {DE}{BC}}={\frac {AE}{AC}}={\frac {AD}{AB}} It is believed the Babylonians knew the theorem for special cases before Thales proved it.[58][59] The theorem is mentioned and proved as part of the 31st proposition in the third book of Euclid's Elements.[60] Dante's Paradiso refers to Thales's theorem in the course of a speech.[61]
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Teeka Tiwari
Editor, Palm Beach Letter
Similar triangles Main article: Intercept theorem The story is told in Diogenes Laërtius, Pliny the Elder, and Plutarch,[52][62] sourced from Hieronymus of Rhodes, that when Thales visited Egypt,[22] he measured the height of the pyramids by their shadows at the moment when his own shadow was equal to his height.[j] According to Plutarch, it pleased the pharoah Amasis. More practically, Thales had the ability to measure the distances of ships at sea. These stories illustrate Thales's familiarity with the intercept theorem, and for this reason the 26th proposition in the first book of Euclid's Elements was attributed to Thales.[64] They also indicate that he was familiar with the Egyptian seked, or seqed, the ratio of the run to the rise of a slope (cotangent).[65][k] According to Kirk & Raven,[7] all you need for this feat is three straight sticks pinned at one end and knowledge of your altitude. One stick goes vertically into the ground. A second is made level. With the third you sight the ship and calculate the seked from the height of the stick and its distance from the point of insertion to the line of sight.[66] Astronomy Urania, the Muse of Astronomy, Reveals to Thales the Secrets of the Skies Thales was also a noted astronomer credited in antiquity with describing the position of Ursa Minor, and he thought the constellation might be useful as a guide for navigation at sea. He calculated the duration of the year and the timings of the equinoxes and solstices. He is additionally attribute with calculating the position of the Pleiades.[7] Plutarch indicates that in his day (c. AD 100) there was an extant work, the Astronomy, composed in verse and attributed to Thales.[67] While some say he left no writings, others say that he wrote On the Solstice and On the Equinox. The Nautical Star-guide has also been attributed to him, but this was disputed even in ancient times.[7][l] No writing attributed to him has survived. Lobon of Argus asserted that the writings of Thales amounted to two hundred lines.[68] Worldview of Thales (left) and pupil Anaximander (right). Cosmological model Thales thought the Earth must be a flat disk or mound of land and dirt which is floating in an expanse of water.[69] Heraclitus Homericus states that Thales drew his conclusion from seeing moist substance turn into air, slime and earth. It seems likely that Thales viewed the land as coming from the water on which it floated and the oceans that surround it, perhaps inspired by observing silt deposits.[70] He thought the stars were balls of dirt on fire.[71] He seemed to correctly gather that the moon reflects the Sun's light.[72] A crater on the Moon is named in his honor. Meteorology Rather than assuming that earthquakes were the result of supernatural whims, Thales explained them by theorizing that the Earth floats on water and that earthquakes occur when the Earth is rocked by waves.[73][40] He is attributed with the first observation of the Hyades, supposed by the ancients to indicate the approach of rain when they rose with the Sun.[74] According to Seneca, Thales explained the flooding of the Nile as due to the river being beaten back by the etesian wind.[75] [divider] This email is being delivered to you as you have expressed an interest in the Financial niche by submitting your information on one of our landing pages or sign-up forms. [Privacy Policy]( [Terms & Conditions]( Email sent by Finance and Investing Traffic, LLC, owner and operator of Trading Century If you need any assistance or have any inquiries, our [support team](mailto:support@tradingcentury.com) is available round the clock, 24/7, to assist you at every step. For any security-related questions or concerns, please feel free to reach out to us by sending an email to abuse@tradingcentury.com. Donât miss out on the latest developments in the world of investing and finance, [whitelist our email address]( to receive timely updates. Copyright © 2023 [TradingCentury.com](. All rights reserved[.](
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