Extractions: A n early Copernican, Keplerian, and defender of Galileo, Boulliau was the most noted astronomer of his generation. Although his career reflects many of the movements associated with the Scientific Revolution, Boulliau was widely known in the Republic of Letters as an historian, classical scholar, and philologist. Arguably his correspondence network (which rivals the combined efforts of Mersenne and Oldenburg) marks the transition from to homme de science , from intelligencer to state-sponsored science. B intelligencer to matters of science. B oulliau's first book, De natura lucis (1638), grew out of an ongoing conversation on the nature of light with his friend Pierre Gassendi (15921655). Against Gassendi's atomist claims, Boulliau defended Kepler's punctiform analysis but argued, against Kepler, that light behaved three dimensionally (Prop. 7) and could be understood as a mean proportional between corporeal and incorporeal substance' (Theorem I). With a smile, Descartes somehow missed the point by reading between substance and accident.' Later in the volume Boulliau provided one of the first statements of the law of illumination (Prop. 27). I n the following year Boulliau published his Philolaus (1639), which had circulated in manuscript in the years following Galileo's condemnation. Thoroughly Copernican, there was perhaps little remarkable about the book except, as Descartes noted, that it was published at all. Boulliau's purpose was to provide new geometrical and optical arguments for the motion of the earth. Although he was attacked by J-B Morin (15831656) and several Italian astronomers, Boulliau continued to embrace Kepler's central claim, that nature loves simplicity, she loves unity...she uses one cause for many effects' (
Claudius Ptolemy We suspect his teacher was theon of smyrna, who was both an observer and amathematician who had written on astronomical topics such as conjunctions, http://www.stetson.edu/~efriedma/periodictable/html/Pm.html
Extractions: We know very little of Ptolemy's life. His name, Claudius Ptolemy, is of course a mixture of the Greek Egyptian "Ptolemy" and the Roman "Claudius". This would indicate that he was descended from a Greek family living in Egypt and that he was a citizen of Rome. Ptolemy definitely made astronomical observations from Alexandria in Egypt during the years from 127 to 141. We suspect his teacher was Theon of Smyrna, who was both an observer and a mathematician who had written on astronomical topics such as conjunctions, eclipses, occultations and transits. The earliest, and perhaps most important of Ptolemy's work that has survived is the Almagest , a treatise in 13 books. It gives in detail the mathematical theory of the motions of the Sun, Moon, and planets. Ptolemy made his most original contribution by presenting details for the motions of each of the planets. His theories were not superseded until a century after Copernicus presented his heliocentric theory in 1543. Ptolemy first of all justifies his description of the universe based on the earth-centred system described by Aristotle. It is a view of the world based on a fixed earth around which the sphere of the fixed stars rotates every day, this carrying with it the spheres of the sun, moon, and planets. Ptolemy used geometric models to predict the positions of the sun, moon, and planets, using combinations of circular motion known as epicycles. Having set up this model, Ptolemy then goes on to describe the mathematics which he needs in the rest of the work. In particular he introduces trigonometrical methods based on the chord function.
DIOPHANTUS - LoveToKnow Article On DIOPHANTUS cAD zoo), nor by theon of smyrna (cAD 130), nor does Greek arithmetic as representedby these authors and by lamblichus (end of 3rd century) show any trace http://29.1911encyclopedia.org/D/DI/DIOPHANTUS.htm
Extractions: DIOPHANTUS a crystal of this variety ( alalite ) is represented in the accompanying figure. These, as well as the long, transparent, bottle-green crystals from the Zillerthal in the Tyrol, have occasionally been cut as gem-stones. Good crystals have been found also at Achmatovsk near Zlatoust in the Urals, Traversella near Ivrea in Piedmont ( traversellite ), Nordmark in Sweden, Monroe in New York, Burgess in Lanark county, Ontario, and several other places: at Nordmark the large, rectangular black crystals occur with magnetite in the iron mines. (L. J. S.) DIONYSUS DIOPTASE To properly cite this DIOPHANTUS article in your work, copy the complete reference below: "DIOPHANTUS." LoveToKnow 1911 Online Encyclopedia.
The Forgotten Revolution (Russo)-Springer History Of Science Book Ptolemy and theon of smyrna. The First Few Definitions in Euclid s Elements. 11The Age-Long Recovery. The Early Renaissances. The Renaissance. http://www.springeronline.com/sgw/cda/frontpage/0,11855,4-10122-22-24191434-deta
Extractions: Select a discipline Biomedical Sciences Chemistry Computer Science Economics Education Engineering Environmental Sciences Geography Geosciences Humanities Law Life Sciences Linguistics Materials Mathematics Medicine Philosophy Popular Science Psychology Public Health Social Sciences Statistics preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900180-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900170-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900190-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900200-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900369-0,00.gif'); preloadImage('/sgw/cda/pageitems/designobject/cda_displaydesignobject/0,11978,4-0-17-900344-0,00.gif'); Please select Africa Asia Australia / Oceania Europe Germany North America South America Switzerland United Kingdom
Extractions: MAA INDIANA SECTION MEETING, APRIL 1-2, 2005 Friday Abstract: THREE MATHEMATICAL VIGNETTES; MILLENNIAL, PONTIFICAL, AND NYCTAGINACEOUS Two first century (A.D.) manuscripts, the Introduction to Arithmetic , by Nicomachus of Gerasa and Mathematics Useful for Understanding Plato by Theon of Smyrna were the main sources of knowledge of formal Greek arithmetic in the Middle Ages. The books are philosophical in nature, contain few original results and no formal proofs. They abound, however, in intriguing number theoretic observations. We discuss and extend some of the results found in these ancient volumes. Secondly, we discuss the mathematics of Gerbert the Great, a tenth century educator. We end with the achievements and adventures of Louis Antoine de Bougainville, mathematician, explorer, and student of D'Alembert. Saturday Abstract: EPISODES IN THE EARLY HISTORY OF THE LUCASIAN CHAIR In 1663, Henry Lucas, the long-time secretary to the Chancellor of the University of Cambridge, made a bequest, subsequently granted by Charles II, to endow a chair in mathematics. A number of conditions were attached to the Chair. Among the more prominent Lucasian professors were Newton, Babbage, Stokes, Dirac, and Hawking. We focus attention on the early Lucasians. Many of whom were very diligent in carrying out their Lucasian responsibilities but as history has shown such was not always the case. In the process, we uncover several untold stories and some interesting mathematics.
Free Essays On Eratosthenes theon of smyrna tells us that Eratosthenes by other authors such as Cleomedes,theon of smyrna and Strabo. Eratosthenes http://www.instant-essays.com/2787.htm
Extractions: Greek Literature GREEK LITERATURE. The great British philosopher-mathematician Alfred More Sponsored Search Results Below is free essays on Eratosthenes by Instant Essays, your one-stop source for free essays, free college term papers, and free term papers. Look for more free essays and free term papers using the search box above. Word Count: 636
Malaspina Great Books - Eratosthenes (c. 276 BCE) However, some details of these calculations appear in works by other authors suchas Cleomedes, theon of smyrna and Strabo. Eratosthenes compared the noon http://www.malaspina.com/site/person_515.asp
Table Of Contents For Hetherington, Norriss S., Ed., Encyclopedia 547 BC) 641 theon of smyrna (early 2nd century AD) 642 Timaeus 643 TopologicalDefects 643 Trigonometric Parallax 643 TullyFisher Relation 643 UBV System http://www.phys-astro.sonoma.edu/people/faculty/tenn/HetheringtonEncycTOC.txt
Extractions: http://yorty.sonoma.edu/people/faculty/tenn/Table of contents for Hetherington, Norriss S., ed., Encyclopedia of Cosmology (Garland, NY, 1993). ISBN 0-8240-7213-8. Absolute Magnitude 3 Alhazen (965-ca. 1040) 3 Alpha-Beta-Gamma Theory 3 Anaximander (610-546 B.C.) 4 Anaximenes (fl. 546 B.C.) 4 Andromeda Galaxy 4 Anthropic Principle 11 Apparent Magnitude 17 Aristotle (384-322 B.C.) 19 Aristotle's Cosmology 20 Astronomical Unit 25 Atomist Cosmology 25 Averroes (1126-1198) 27 Avicenna (980-1037) 27 Baade, Walter (1893-1960) 29 Bessel, Friedrich Wilhelm (1784-1846) 30 Big Bang Cosmology 31 Big Chill/Big Crunch 42 Big Squeeze 42 Blue Shift 42 Bolometric Magnitude 42 Brahe, Tycho (1546-1601) 42 Brahe's Cosmology 46 Buridan, Jean (1295-1358) 48 C-Field 51 Callippus (b. ca. 370 B.C.) 51 Campbell, Wm. Wallace (1862-1938) 52 Cave Dweller Cosmology 53 Chalcidius 55 Chamberlin, Thomas C. (1843-1928) 56 Chamberlin-Moulton Hypothesis 56 Chaucer's Cosmology 58 Chinese Cosmology 63 Cold Dark Matter 70 Cold Dark Matter Model 70 Copernican Cosmology 71 Copernican Revolution 92 Copernicus, Nicolas (1473-1543) 99 Cosmic Microwave Background Radiation 100 Cosmic Mindstep 105 Cosmic Scale Factor 106 Cosmic Strings 106 Cosmogony 115 Cosmological Constant 115 Cosmology 116 Cosmology 1900-1931 116 Creation in Cosmology 126 Critical Energy Density 136 Curtis, Heber Doust 138 Dante Alighieri (1265-1321) 139 Dante's Moral Cosmology 140 Dark Matter 148 Deceleration of the Universe 158 Decoupling Time 159 Descartes, Rene (1596-1650) 160 Descartes's Mechanical Cosmology 164 Digges, Thomas (1546-1595) 176 Dirac, Paul Andrien Maurice (1902-1984) 177 Dirac's Cosmology 177 Distance Modulus 179 Doppler, Christian (1803-1853) 179 Doppler Shift 180 Dreyer, Johann Louis Emil (1852-1926) 180 Early Greek Cosmology 183 Eddington, Arthur Stanley (1882-1944) 188 Egyptian Cosmology 189 Einstein, Albert (1879-1955) 194 Empedocles (ca. 492-432 B.C.) 195 Empyrean Orb 196 Eternal Universe 196 Eodoxus (ca. 400-347 B.C.) 197 Eudoxus's Cosmology 198 Evolution of a Newtonian Universe 201 Exponential Expansion in an Inflationary Universe 204 False Vacuum 205 Fath, Edward A. (1880-1959) 206 Fireworks Theory of Cosmic Evolution 208 Flatness Problem 208 Fontenelle, Bernard de Bovier(1657-1757) 212 Formation of Galaxies 212 Fraunhofer, Joseph von (1787-1826) 217 Fundamental Cosmological Parameters 218 Galilei, Galileo (1564-1642) 245 Galileo and the Inquisition 248 Galileo's Cosmology 252 General Catalogue 254 Grand Unified Theories 254 Great Attractor 260 Great Debate 260 Great Wall 262 Greek Cosmology 263 Heavens 267 Henderson, Thomas (1798-1878) 268 Heraclitus (fl. ca. 500 B.C.) 268 Herschel, F. William (1738-1822) 268 Herschel, John F.W. (1792-1871) 269 Herschel's (W.) Cosmology 273 Hertzsprung, Ejnar (1873-1967) 277 Hertzsprung-Russell Diagram 278 Hexameral Treatises 280 Hipparchus (2nd century B.C.) 281 Horizon Distance 281 Horizon Problem 281 Hot Dark Matter 283 Hot Dark Matter Model 283 Hoyle-Narlikar Theory 283 Hubble, Edwin P. (1889-1953) 283 Hubble Constant 284 Hubble Diagram 284 Hubble Time 285 Hubble's Cosmology 285 Hubble's Law 296 Huggins, Sir William (1824-1910) 296 Humason, Milton (1891-1972) 297 Ibn al-'Arabi (1165-1240) 299 Index Catalogues 301 Inflationary Universe 301 International System 322 Islamic Cosmology 322 Jeans, James Hopwood (1877-1946) 331 K-effect 333 Kant, Immanuel (1724-1804) 334 Kant's Cosmology 335 Keeler, James Edward (1857-1900) 343 Kepler, Johannes (1571-1630) 345 Kepler's Cosmology 346 Kirchhoff, Gustav Robert (1824-1887) 353 Laplace, Pierre-Simon, Marquis de (1749-1827)355 Large-Number Hypothesis 355 Large-Scale Structure and Galaxy Formation 356 Lemaitre, Georges (1894-1966) 365 Light-Year 366 Lombard, Peter (died ca. 1160) 366 Magnitude System 367 Martianus Capella (ca. 365-400) 369 Mayer-Teller Theory 369 Medieval Cosmology 370 Megalithic Cosmology 380 Mesopotamian Accounts of Creation 387 Messier, Charles (1730-1817) 408 Messier Catalogue 409 Milne, Edward Arthur (1896-1950) 409 Milne's Cosmology 410 Minkowski, Rudolph L. (1895-1976) 416 Moulton, Forest Ray (1872-1952) 417 Multiple Universes 417 Native American Cosmologies 427 Nebular Hypothesis 436 Neutralinos 437 New General Catalogue 437 Newton, Isaac (1642-1727) 437 Newtonian Cosmology 438 Nineteenth-Century Cosmology and Reflecting Telescopes 444 North Polar Sequence 450 Oresme, Nicole (1320-1382) 451 Origins of Primordial Nucleosynthesis and Prediction of Cosmic Background Radiation453 Origins of Steady State Theory 475 Parallax 479 Parmenides (ca. 515-450 B.C.) 479 Parsons, Wm, Third Earl of Rosse (1800-1867)479 Perfect Cosmological Principle 480 Philosophical Aspects of the Origin of Modern Cosmology 481 Phoenix Universe 495 Photographic Magnitude 495 Photovisual Magnitude 495 Plato (428/427-348/347 B.C.) 495 Plato's Cosmology 499 Plurality of Worlds 502 Primeval Atom Hypothesis 512 Proper Motion 513 Ptolemaic Planetary Theory 513 Ptolemy (2nd century A.D.) 526 Ptolemy's Cosmology 528 Pythagoras (ca. 560-480 B.C.) 544 Quantum Cosmology and the Creation of the Universe 547 Quasars and Cosmology 558 Radius of Curvature of the Universe 565 Redshift 565 References 565 Relativistic Cosmology 566 Religion and Cosmology 579 Robertson-Walker Metric 595 Robinson, Thomas Romney (1793-1882) 595 Romantic Cosmology 596 Sakharov, Andrei Dmitrievich (1921-1989) 605 Scheiner, Julius (1858-1913) 608 Secular Parallax 609 Seeds 609 Seneca, Lucius Annaeus (ca. 4 B.C.-A.D. 65) 609 Sentences 609 Slipher, Vesto Melvin (1875-1969) 609 Smoothness Problem 610 Spectroscopic Parallax 612 Spectroscopy and Cosmology 613 Spectrum 625 Speed of Light 626 Spontaneous Symmetry Breaking 626 Statisticial Parallax 628 Steady State Theory 629 Stebbins-Whitford Effect 636 Stellar Parallax 636 Struve, Friedrich Georg Wilhelm 639 Systematic Constitution 640 Thales (625?-547 B.C.) 641 Theon of Smyrna (early 2nd century A.D.) 642 Timaeus 643 Topological Defects 643 Trigonometric Parallax 643 Tully-Fisher Relation 643 U B V System 645 Universe 645 Van Maanen, Adriaan (1884-1946) 645 Van Maanen's Internal Motions in Spiral Nebulae 646 Vogel, Hermann Carl (1841-1907) 656 Weakily Interacting Massive Particles 659 Wilkins, John (1614-1672) 659 Wirtz, Carl Wilhelm (1876-1939) 660 Xenophanes (ca. 575-478 B.C.) 661 YLEM 661 Zwicky, Fritz (1898-1974) 661 J. S. Tenn, 1997-03-30
Extractions: Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. ALTHOUGH IT IS UNDERSTANDABLE that historians of philosophy prefer to deal with material from the philosophers' own works, the works of informed amateurs can often say much about the intellectual world in which they lived, and may supplement comparatively meagre information from the pens of esteemed professionals. The Platonism of the second century is particularly prone to this problem, with a much fuller picture being built with the help of those whom we are inclined to think of only secondarily as philosophers. Plutarch can be fitted into this category in spite of his standing in philosophy. The figures of Theon of Smyrna, Apuleius, and Maximus of Tyre all contribute considerably to the picture of a vital new Platonism, which none of them has quite seemed to master. Many principal figures within the philosophical schools, such as Taurus, Atticus, and Numenius, are by contrast known only from fragments, and these fragments frequently derive from non-philosophers.
Theon Von Smyrna Translate this page theon von smyrna Seite aus einem deutschsprachigen Online-Philosophenlexikon. http://www.philosophenlexikon.de/theon1.htm
Extractions: Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail powered by Uwe Wiedemann
Bibliography theon, of smyrna, fl 250, Ton kata to mathematikon chresimon eis ten Platonosanagnosin = Exposition des connaissances mathematiques utiles pour la lecture http://www.library.cornell.edu/math/bibliography/display.cgi?start=T&
A Cortina Da Noite - Astronomia Amadora Translate this page Este trabalho foi exaustivamente utilizado por theon de smyrna quando este escreveuExposito rerum mathematicarum e, apesar Platonicus se ter perdido theon http://www.astrosurf.com/nc/biografias/eratostenes.html
Grace F Knoche I Mindre Asien skriver theon av smyrna om fem grader i initiationscykeln (1) denförberedande reningen som företas därför att deltagande i mysterierna http://hem.fyristorg.com/teosofi/TeosofiskaBokforlaget/Mysterieskolorna/06_Initi
Extractions: Kapitel 6 Initiationernas gradindelning Mathematics Useful for Understanding Plato , s 8-9 och Isis , 1:xiv-xv, 2:101). corax, cryphius miles leo perses heliodromus pater , "fader", den fullt initierade (se Meyer, The Ancient Mysteries, A Sourcebook , s 200-201 och ET, 2:864). matsya kurma varaha nara-simha vamana Parashu-Rama Ramayanas Krishna Buddha Kalkin Vishnu Purana
Vivianus 1573 Translate this page theon von Alexandria darf dabei nicht mit theon von smyrna - um 130 n. theon von smyrna ist ein (vereinzelter) Zeuge der Reihenfolge http://www.wilhelmkruecken.de/VIVIANUS/vivAnm2.htm
Extractions: Theon von Alexandrien um 365 n.Chr. hat Scholia in Aratum geschrieben, die auch in der Pariser Ausgabe von Guilhelmus Morelius vorkommen. Theon von Alexandria darf dabei nicht mit Theon von Smyrna um 130 n.Chr. - verwechselt werden. Theon von Smyrna ist ein (vereinzelter) Zeuge der Reihenfolge Mond-Venus-Merkur-Sonne.
Eratosthenes Of Cyrene We know indirect about his method from other authors, mainly Cleomedes and Theonof smyrna. He noted that, on the summer solstice, the sun casts no shadow http://www.mlahanas.de/Greeks/Eratosthenes.htm
Extractions: Eratosthenes for Children Eratosthenes of Cyrene Michael Lahanas Die Messung des Erdumfangs nach Eratosthenes C leomedes On the Circular Motions of the Celestial Bodies ( de motu circulari corporum coelestium And it is necessary that the distance between Syene and Alexandria is one-fiftieth of the Earth's circumference. Since this distance is 5000 stades the circumference length is 250000 stades. Eratosthenes of Cyrene Library of Alexandria . He is best remembered for his prime number sieve which, in modified form, is still an important tool in number theory research. Eratosthenes measured the tilt of the Earth's axis with great accuracy and compiled a star catalogue containing 675 stars (now lost); he suggested that a leap day be added every fourth year and tried to construct an accurately-dated history. He became blind in his old age and is said to have committed suicide by starvation, like Democrit . Eratosthenes came to Alexandria from Athens to be the chief librarian of Ptolemy Euergetes. He was not merely an astronomer and a geographer, but a poet and grammarian as well. His contemporaries jestingly called him Beta the Second , because he was said through the universality of his attainments to be "a second Plato" in philosophy, "a second Thales" in astronomy, and so on throughout the list. For the same reason he was called a
Famous Mathematicians. 125 BC Heron of Alexandria c.75 Ptolemy c.85c.165 Nicomachus of Gerasa C.100 Theonof smyrna c. 125 Diophantus Ist or 3 rd century Pappus c.320 Iamblichus http://home.egge.net/~savory/maths6.htm
Extractions: If you ask people these days to name a famous mathematician, surveys show the most popular answer to be Albert Einstein . Einstein himself used to like to quote Sir Isaac Newton's famous humble line "If I have seen further than other men, it is by standing on the shoulders of giants." So I asked myself, who were these giants, i.e. famous pre-Einstein mathematicians. Here's the list of the top 100 or so, sorted chronologically. How many do you know? That means you can state what they were famous for, off the cuff, no googling! If you score below 30 you need to do some revision :-) Ahmes c. 1650 B C Pythagoras c.540 BC Hippocrates c.440 BC (that's Hippocrates of Chios, NOT the physician who lived around the same time). Plato c.430-c.349 BC Hippias c.425 BC Theaetetus c.417-369 BC Archytas c.400 B C Xenocrates 396-314 BC Theodorus c.390 BC Aristotle 384-322 BC Menaechmus c.350 BC Euclid c.300 BC Archimedes c.287-212 BC Nicomedes c.240 BC Eratosthenes Gauss , Karl Friedrich 1777-1855 Brianchon, Charles c.1783-1864 Binet, Jacques-Philippe-Marie 1786-1856 Möbius, August Ferdinand 1790-1868 Babbage, Charles 1792-1871 Laine, Gabriel 1795-1870 Steiner, Jakob 1796-1863 de Morgan, Augustus 1806-1871 Liouville, Joseph 1809-1882 Shanks, William 1812-1882 Catalan, Eugene Charles 1814-1894 Hermite, Charles 1822-1901 Riemann, Bemard 1826-1866 Venn, John 1834-1923 Lucas, Edouard 1842-1891 Cantor, George 1845-1918 Lindemann, Ferdinand 1852-1939 Hilbert, David 1862-1943 Lehmer, D. N. 1867-1938 Hardy, G. H. 1877-1947 Ramanujan, Srinivasa 1887-1920
A Gilded Lapse Of Time - Gjertrud Schnackenberg The speculation that the concentric spheres must exist is quoted from Theonof smyrna, Expositio rerum mathematicarum ad legendum Platonem utilium. http://www.complete-review.com/reviews/poetryus/schnackj4.htm
Extractions: Review Summaries Source Rating Date Reviewer Antioch Review Fall/1993 Daniel McGuiness Antioch Review Summer/2001 Carol Moldaw The New Criterion Robert Richman The New Republic Glyn Maxwell The New Republic A Rosanna Warren The NY Rev. of Books Daniel Mendelsohn The NY Times Book Rev. William Logan The NY Times Book Rev.
Nrich.maths.org::Mathematics Enrichment::Magic Squares Magic squares were first mentioned in the Western world in the work of theon ofSmyrna. They were also used by Arab astrologers in the 9th century to help http://nrich.maths.org/public/viewer.php?obj_id=2476&part=index&refpage=monthind
História Samos. Pythagoras_7.jpg (19317 bytes). Aproximadamente 569 aC - 475 aC http://www.educ.fc.ul.pt/semtem/semtem99/sem26/historia.htm
Extractions: História Nesta página referimos alguns nomes que estiveram directamente relacionados com os números triangulares. Foram os gregos que deram nome aos números triangulares, formando-os adicionando sucessivamente os termos da série 1+2+3+4+5+... Verificamos que o estudo sobre os números triangulares remonta acerca de 569 a.C.. Destacamos os gregos Pitágoras e Theon que iniciaram o estudo acerca destes números, estudo esse que foi mais tarde completado por Gauss e Cauchy. É sobre estes Matemáticos que apresentamos uma resumida biografia e o seu contributo no tema dos Números Triangulares. Matemáticos que estudaram os Números Triangulares: Pitágoras de Samos; Theon de Smyrna; Johann Carl Friedrich Gauss Augustin-Louis Cauchy Pitágoras de Samos Aproximadamente 569 a. C. - 475 a. C. A doutrina e a vida de Pitágoras, desde os tempos da antiguidade, jaz envolta num véu de mistério. Pitágoras que significa o Anunciador pítico (Pythios), era filho de Menesarco e de Partêmis, ou Pythaia. Tendo esta, certa vez, levado o filho à sacerdotiza Pítia de Delfos, esta vaticinou-lhe um grande papel, o que levou a mãe a devotar-se com o máximo carinho à sua educação. Consta que Pitágoras, que desde criança se revelava prodigioso, teve como primeiros mestres a Hermodamas de Samos até os 18 anos, depois Ferécides de Siros, tendo sido, posteriormente, aluno de Tales, em Mileto, e ouvinte das conferências de Anaximandro. Foi depois discípulo de Sonchi, um sacerdote egípcio, tendo, também, conhecido Zaratos, o assírio Zaratustra ou Zoroastro, em Babilónia, quando de sua estada nessa grande metrópole da antiguidade.
Quellen Des Typus Universitatis früher schon als eine zulässige, die Erscheinungen rettende Hypothese ausgewiesen http://www.wilhelmkruecken.de/VIVIANUS/Quellen.htm
Extractions: AstronomischeQuellen II 5.1 Der Bibliothekskatalog Zu diesen Konsequenzen neigte Gerhard Mercator Aratos bei Jacob Ziegler kennengelernt hat. Der Bibliothekskatalog von zeigt unter dem Stichwort Libri Politiores = Vermischtes bzw. Libri mathematici weitere, weitaus wichtigere Quellen des astronomischen Aspekts des typus an. Mit Sicherheit hat Gerhard Mercator Arati Phaenomena. Col.[nia] 1569 31: Katalog Vitruvij Plinij lib.2, naturalis historiae. Venetijs 1502 Macrobius .8. Lyon [Chronologiem Lugduni 1542] Capella De nuptiis. Basel 1532 Platonis opera. Basel 1539 Copernicus die Nachrichten vorgefunden, auf die er z.T. schon bei der Vorbereitung seiner Chronologie von schon an die Sonne gebunden " sind.
