61. Trang_tho_05 Translate this page hippocrates of chios Heralded the iconic birth of Plato. Euclid’s Elements aremonumental Hippocrates c?a Chios. D? doán ngày sinh bi?u tu?ng c?a Plato http://www.khoahoc.net/trang_tho_05.htm

Trang ch­nh Kỹ thuật M´i trường Sinh học ... Liªn lạc muốn nhận "Bản tin" Nªn coi trang Web với 1024x768 Pixels v  mở m ng h¬nh rộng tối đa. Đọc v  viết với Uni code Trang ThÆ¡ Trang thÆ¡ Những b i thÆ¡ ngắn từ nhiều t¡c giả kh¡c nhau Cho Nhau Ng y H´m Nay Anh thấy kh´ng , một đo¡ hoa vừa nở Trong khu vườn ªm ả của T¬nh Yªu Trời rất xanh , v  nắng trong veo Ng y rất đẹp , m¬nh yªu nhau nồng đượm Mọi gi¡c quan đang lắng nghe hạnh phºc Đang lan xa nhÆ° hÆ°Æ¡ng của tr  thÆ¡m Rất nhẹ nh ng m  ng¢y ngất v´ c¹ng Rất thanh khiết , rất tinh tuyền yªu dấu Ta c³ nhau , chỉ h´m nay cÅ©ng đủ Ta cho nhau nhÆ° cho vạn đời sau T¬nh đ¢u cần phải hứa đến bạc đầu Đ¢u cần n³i những lời đầy hoa mỹ Trong yªn lặng cÅ©ng nghe hồn ªm ¡i Một nắm tay th´i cÅ©ng thấy dịu d ng Giữa chºng ta kh´ng hiện diện thời gian Kh´ng gian cÅ©ng cÆ¡ hồ nhÆ° hẹp lại Sống cho nhau , v  nh¬n nhau nhÆ° mới

62. Chapter 16: Archimedes Among the earlier ones were Archytas of Tarentum, Plato s geometry teacher,hippocrates of chios, who tried to fit together all the rules, and Theodorus of http://www.anselm.edu/homepage/dbanach/arch.htm

Selections from Julia E. Diggins, String, Straightedge, and Shadow Viking Press, New York , 1965. (Illustrations by Corydon Bell) 16. A ROYAL ROAD, AFTER ALL During the 4th century B.C., Greek geometry burst its bonds and went on to the tremendous discoveries of the "age of giants." And Greek culture, too, burst from the mainland of Hellas and spread to most of the eastern Mediterranean. Both developments were connected with the romantic figure of Alexander the Great. After Plato's time, teachers and alumni from the Academy had gone on to found schools of their own. In particular, Plato's most famous associate, the great philosopher Aristotle, had set up the Lyceum in Athens, and started the systematic classification of human knowledge. And Aristotle's most renowned pupil was the warrior king Alexander of Macedon, who tried to conquer the world. In thirteen years, Alexander extended his rule over Greece proper, and Ionia, Phoenicia, Egypt, and the vast Persian domains as far as India. Then he died, and his empire broke up. But throughout those far-flung lands, he had founded Greek cities and planted the seeds of Greek civilization-the Greek language, Greek art, and, of course, Greek mathematics. Mathematicians traveled with his armies. And there is even a

63. Famous Mathematicians. 1650 BC Pythagoras c.540 BC Hippocrates c.440 BC (that s hippocrates of chios,NOT the physician who lived around the same time). http://home.egge.net/~savory/maths6.htm

Pre-Einstein famous mathematicians. Stu Savory, 2004. 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

64. Math History - Pre-historic And Ancient Times About 440BC, hippocrates of chios writes the Elements which is the first compilationof the elements of geometry. About 425BC, Theodorus of Cyrene shows http://lahabra.seniorhigh.net/pages/teachers/pages/math/timeline/MpreAndAncient.

Math History Timeline Pre-historic and Ancient Times 1,000,000 B.C. - 500 A.D. Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... 20th Century ... non-Math History Prehistory and Ancient Times Middle Ages Renaissance Reformation ... External Resources About 30000BC Palaeolithic peoples in central Europe and France record numbers on bones. About 25000BC Early geometric designs used. About 4000BC Babylonian and Egyptian calendars in use. About 3400BC The first symbols for numbers, simple straight lines, are used in Egypt. About 3000BC Babylonians begin to use a sexagesimal number system for recording financial transactions. It is a place-value system without a zero place value. About 3000BC Hieroglyphic numerals in use in Egypt. About 3000BC The abacus is developed in the Middle East and in areas around the Mediterranean. A somewhat different type of abacus is used in China. About 1950BC Babylonians solve quadratic equations.

65. Hippias [Internet Encyclopedia Of Philosophy] The lunules of hippocrates of chios belong to it, and Hippias, the universalgenius, could not be left behind here. He invented the curve still known as the http://www.utm.edu/research/iep/h/hippias.htm

Hippias (5th cn. BCE.) A Greek sophist of Elis and a contemporary of Socrates. He taught in the towns of Greece, especially at Athens. He had the advantage of a prodigious memory, and was deeply versed in all the learning of his day. He attempted literature in every form which was then extant. He also made the first attempt in the composition of dialogues. In the two Platonic dialogues named after him ( Hippias Major and Hippias Minor ), he is represented as excessively vain and arrogant. The author of this article is anonymous. The IEP is actively seeking an author who will write a replacement article.

66. RSA Treasure Trails - The National Museum Of Photography, Film & Television shown here, depict the classical busts of Minerva, the Roman goddess of warand wisdom, and hippocrates of chios, the Greek physician and philosopher. http://www.thersa.org/250/nmpft.asp

Skip navigation Home Contact Us Find Us ... Help Quick Index 250th Anniversary Annual Report Donations Fellows Directory Fellowship Facilities History House Tours Inclusive Design Resource Lecture Booking Lecture Texts Location Map Login Medals Onians Fellowship Press Releases Projects Regions Registration RDIs Weddings Text size: default larger About the RSA Our Work ... Login RSA Anniversary Treasure Trails... The RSA takes pride in its association with the early days of photography. It held the first ever public exhibition of photographs in its House in 1852, which included early works by WH Fox Talbot and demonstrated the latest developments in photographic processes. The Photographic Society (later the Royal Photographic Society, or RPS) held its inaugural meeting at the Society's House and returned to celebrate their centenary in 1953. Work from two RPS members features in this trail. Details of all the items in this trail are listed below. There is also a link to download a text only version of the trail leaflet as a pdf document. You will need Acrobat Reader to view the leaflet, click here if you do not have it.

67. Dictionary Of The History Of Ideas hippocrates of chios (fifth century BC) had also written an Elements, a workunfortunately lost; but we know that he had attempted http://etext.lib.virginia.edu/cgi-local/DHI/dhi.cgi?id=dv1-24

68. Phenomenon Of Science: Chap. 10 430 BC hippocrates of chios (not to be confused with the famous doctor Hippocratesof Kos). He was considered the most famous geometer of his day. http://pespmc1.vub.ac.be/POS/Turchap10.html

This is chapter 10 of the "The Phenomenon of Science" by Valentin F. Turchin Contents: PROOF THE CLASSICAL PERIOD PLATO'S PHILOSOPHY WHAT IS MATHEMATICS? ... PLATONISM IN RETROSPECT CHAPTER TEN. From Thales to Euclid PROOF polis ). The concept of proof already existed; it was a socially significant reality. All that remained was to transfer it to the field of mathematics, which was done as soon as the Greeks became acquainted with the achievements of the ancient Eastern civilizations. It must be assumed that a certain part here was also played by the role of the Greeks as young, curious students in relation to the Egyptians and Babylonians, their old teachers who did not always agree with one another. In fact, the Babylonians determined the area of a circle according to the formula 3 r , while the Egyptians used the formula (8/9 2 r . Where was the truth? This was something to think about and debate. The creators of Egyptian and Babylonian mathematics have remained anonymous. The Greeks preserved the names of their wise men. The first, Thales of Miletus, is also the first name included in the history of science. Thales lived in the sixth century B.C. in the city of Miletus on the Asia Minor coast of the Aegean Sea. One date in his life has been firmly established: in 585 B.C. he predicted a solar eclipseunquestionable evidence of Thales's familiarity with the culture of the ancient civilizations, because the experience of tens and hundreds of years is required to establish the periodicity of eclipses. Thales had no Greek predecessors, and could therefore only have taken his knowledge of astronomy from the scientists of the East. Thales, the Greeks assert, gave the world the first mathematical proofs. Among the propositions (theorems) proved by him they mention the following:

69. Earliest Uses Of Symbols From Geometry and planes by a letter or letters was in vogue among the ancient Greeks andhas been traced back to hippocrates of chios (about 440 BC) (Cajori vol. http://members.aol.com/jeff570/geometry.html

Earliest Uses of Symbols from Geometry Last revision: August 26, 2001 Lettering of geometric figures. The designation of points, lines, and planes by a letter or letters was in vogue among the ancient Greeks and has been traced back to Hippocrates of Chios (about 440 B. C.) (Cajori vol. 1, page 420, attributed to Moritz Cantor). Lettering of triangles. Richard Rawlinson in a pamphlet prepared at Oxford sometime between 1655 and 1668 used A, B, C for the sides of a triangle and a, b, c for the opposite angles. In his notation, A was the largest side and C the smallest (Cajori vol. 2, page 162). Leonhard Euler and Thomas Simpson reintroduced this scheme many years later, Euler using it in 1753 in (Cajori vol 2., page 162). Euler used capital letters for the angles. In 1866, Karl Theodor Reye (1838-1919) proposed the plan of using capital letters for points, lower case letters for lines, and lower case Greek letters for planes in a remarkable two-volume work on geometry, Die Geometrie der Lage (Cajori vol. 1, page 423).

70. Mth.15 Syllabus hippocrates of chios (ca. 440 BC) Democritus (ca. 460 370 BC) Eudoxus (ca.408 - 355 BC) Euclid (ca. 300 BC) Archimedes (ca. 287 - 212 BC) Heron (ca. http://math.furman.edu/~jpoole/mth15hp/syllabus.htm

71. The Five Squarable Lunes hippocrates of chios was the first to demonstrate such quadratures (around 440BC) for lunes. It turns out that only five particular lunes can be http://www.mathpages.com/home/kmath171.htm

The Five Squarable Lunes Return to MathPages Main Menu

72. Martin Tulic, Book Indexing - About Indexing - Qualifiers abstracts (pharmaceutical mixtures), Hippocrates ( Father of Medicine ), hippocrates of chios, Louis VIII, Louis IX, http://www.anindexer.com/about/qlifiers/qlifiersindex.html

About indexing Samples Rates Other indexers ... Site map Qualifiers Qualifiers are words or phrases added to a heading or subheading to clarify its meaning or to distinguish among homographs. They may or may not be enclosed in parentheses, as these examples demonstrate: By being added to the heading, they become part of it and are considered during alphabetization. Qualifiers are often used in relation to personal names , where homographs (including surnames and forenames) are common. For example: The date in the first qualifier above includes an question mark to indicate uncertainty about the date. Other abbreviations that are used include b. for "born" and d. for "died." For example: The order of entries for the Hamiltons is due to the fact that question marks and abbreviations signifying birth and death are ignored during alphabetization. Another use is to help identify things or people identified only by a forename or surname in the text. For example: In biographies , qualifiers are often used to specify the relationship between a person and the main subject or a person and others discussed in the text. For example: They may also be used to distinguish between corporate entities having the same name. For example:

73. JMM HM DICIONÁRIO Translate this page hippocrates of chios, hekat Heron Herodotus Hypatia Hipparchus hippocrates of chios.Jâmblico (285-330) Leptínio, Iamblichus, Iamblichos, Iamblichus http://phoenix.sce.fct.unl.pt/jmmatos/HISTMAT/HMHTM/HMDIC.HTM

Bibliografia Recursos na rede bem vindos em latim Anaximandro (-611-545) Antifonte Aristarco de Samos (-310-230?) Aristeo (c. -330) Arquimedes de Siracusa (-287?-212) Arquitas de Tarento (c. -375) Apollonius Archimedes Boetius Apollonios of Perga Aristarchos Aristaeus Aristotle Archimedes of Syracuse Archytas Apollonius of Perga Aristarchus Aristaeus Aristotle Archimedes of Syracuse Archytas Boethius Apollonios Diofanto de Alexandria (c. 250) Diophantus Democritos Dinostratos Diophantos Diocles Democritos Dinostratus Diophantus Diocles Diogenes Laertius Euclides de Alexandria (c. -300) Filolaos Endemus Eudoxus Philolaus Eratosthenes Euclid of Alexandria Endemos Eudoxos of Cnidos Eratosthenes Euclid of Alexandria Endemus Eudoxus of Cnidos Philolaus Euclide Hiparco de Alexandria (-190-120) Hipasos Hipsicles Herodotus Hipparchus Hero Herodotos Hypatia Hipparchos Hippocrates of Chios hekat Heron Herodotus Hypatia Hipparchus Hippocrates of Chios Iamblichus Iamblichos Iamblichus Menecmo (c. -350)

74. PPE - Working Class Encyclopedia H2 hippocrates of chios (c430 BC) Greek mathematician. First to compile elements ofgeometry. PRS. HIPPOCRATES of Cos (c460377) The Greek physician http://www.embassy.org.nz/encycl/h2encyc.htm

75. Untitled Document with the specific restriction that only compass and straightedge should beused, was hippocrates of chios (440 BC) He was able to show that the area of http://jwilson.coe.uga.edu/emt668/EMT668.Folders.F97/Patterson/EMT 669/Lunes/Lun

Problem of Antiquity leads to Lunar Discovery by Mike Patterson Squaring the Circle " or " Quadrature of the Circle refers to a geometrical problem of antiquity. The problem was if you were given a circle of known area, could you create a square of the same area using only a compass and straightedge. "One of the earliest Greek mathematicians to attempt to treat the problem of the "quadrature of the circle" in pure geometric form, with the specific restriction that only compass and straightedge should be used, was Hippocrates of Chios (440 B.C.) He was able to show that the area of certain lunes (cresent-shaped figures formed by two intersecting arcs) could be represented exactly by trianglular (and hence rectangular) areas. For example, if AOB is a quadrant of a circle and AB is the diameter of a semicircle lying outside the quadrant, then the lune bounded by the semicircle and the quadrant has the same area as triangle AOB. His success with such special cases led him to suppose that he could eventually draw a polygon and hence a square whose area is exactly that of a circle." (P150 NCTM Yearbook #31) In 1882 Ferdinand Lindemann, modelling his proof after Hermite, proved that pi, also, is a transcendental number. No transcendental number is constructible, therefore Lindemann's result settled the famous problem concerning the possibility of "squaring the circle".

76. CHRONOLOGY OF MATHEMATICIANS -1100 CHOU-PEI -585 THALES OF MILETUS 430 hippocrates of chios ELEMENTS. -428 ARCHYTAS. -420 HIPPIAS TRISECTRIX.-360 EUDOXUS PROPORTION AND EXHAUSTION. -350 MENAECHMUS CONIC SECTIONS http://users.adelphia.net/~mathhomeworkhelp/timeline.html

CHRONOLOGY OF MATHEMATICIANS -1100 CHOU-PEI -585 THALES OF MILETUS: DEDUCTIVE GEOMETRY PYTHAGORAS : ARITHMETIC AND GEOMETRY -450 PARMENIDES: SPHERICAL EARTH -430 DEMOCRITUS -430 PHILOLAUS: ASTRONOMY -430 HIPPOCRATES OF CHIOS: ELEMENTS -428 ARCHYTAS -420 HIPPIAS: TRISECTRIX -360 EUDOXUS: PROPORTION AND EXHAUSTION -350 MENAECHMUS: CONIC SECTIONS -350 DINOSTRATUS: QUADRATRIX -335 EUDEMUS: HISTORY OF GEOMETRY -330 AUTOLYCUS: ON THE MOVING SPHERE -320 ARISTAEUS: CONICS EUCLID : THE ELEMENTS -260 ARISTARCHUS: HELIOCENTRIC ASTRONOMY -230 ERATOSTHENES: SIEVE -225 APOLLONIUS: CONICS -212 DEATH OF ARCHIMEDES -180 DIOCLES: CISSOID -180 NICOMEDES: CONCHOID -180 HYPSICLES: 360 DEGREE CIRCLE -150 PERSEUS: SPIRES -140 HIPPARCHUS: TRIGONOMETRY -60 GEMINUS: ON THE PARALLEL POSTULATE +75 HERON OF ALEXANDRIA 100 NICOMACHUS: ARITHMETICA 100 MENELAUS: SPHERICS 125 THEON OF SMYRNA: PLATONIC MATHEMATICS PTOLEMY : THE ALMAGEST 250 DIOPHANTUS: ARITHMETICA 320 PAPPUS: MATHEMATICAL COLLECTIONS 390 THEON OF ALEXANDRIA 415 DEATH OF HYPATIA 470 TSU CH'UNG-CHI: VALUE OF PI 476 ARYABHATA 485 DEATH OF PROCLUS 520 ANTHEMIUS OF TRALLES AND ISIDORE OF MILETUS 524 DEATH OF BOETHIUS 560 EUTOCIUS: COMMENTARIES ON ARCHIMEDES 628 BRAHMA-SPHUTA-SIDDHANTA 662 BISHOP SEBOKHT: HINDU NUMERALS 735 DEATH OF BEDE 775 HINDU WORKS TRANSLATED INTO ARABIC 830 AL-KHWARIZMI: ALGEBRA 901 DEATH OF THABIT IBN - QURRA 998 DEATH OF ABU'L - WEFA 1037 DEATH OF AVICENNA 1039 DEATH OF ALHAZEN

77. World And Nation-State hippocrates of chios offered an insight based on the Pythagorean Hippocrates recognized that the arithmetic relationship is expressed by the http://www.larouchepub.com/eiw/public/2002-33/bruce3/gauss3.html

Home Page A Fugue Across 25 Centuries - Doubling of the Line, Square, and Cube - Menaechmus' Discovery ... From Fermat to Gauss From the Vol.1 No.25 issue of Electronic Intelligence Weekly Hyperbolic Functions: A Fugue Across 25 Centuries by Bruce Director (This pedagogical exercise is part of an ongoing series on ``Riemann for Anti-Dummies.'' See for example EIR April 12, 2002 and May 3, 2002 When the Delians, circa 370 B.C., suffering the ravages of a plague, were directed by an oracle to increase the size of their temple's altar, Plato admonished them to disregard all magical interpretations of the oracle's demand and concentrate on solving the problem of doubling the cube. This is one of the earliest accounts of the significance of pedagogical, or spiritual, exercises for economics. Some crises, such as the one currently facing humanity, require a degree of concentration on paradoxes that outlasts one human lifetime. Fortunately, mankind is endowed with what LaRouche has called, ``super-genes,'' which provide the individual the capacity for higher powers of concentration, by bringing the efforts of generations past into the present. Exemplary is the case of Bernhard Riemann's 1854 habilitation lecture, On the Hypotheses that Underlie the Foundations of Geometry

78. List Of Scientists By Field Translate this page hippocrates of chios. hippocrates of chios. Hippocrates of Cos. Hirayama, Kiyotsugu.Hirayama, Kiyotsugu. Hirn, Gustave Adolfe. Hirszfeld, Ludwig http://www.indiana.edu/~newdsb/h.html

Haak, Theodore Haas, Arthur Erich Haas, Arthur Erich Haas, Wander Johannes de Haast, Johann Franz Julius von Haber, Fritz Haberlandt, Gottlieb Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hadamard, Jacques Hadfield, Robert Abbott Hadfield, Robert Abbott Hadley, John Hadley, John Hadorn, Ernst Haeckel, Ernst Heinrich Philipp August Haffkine, Waldemar Mordecai Wolfe Hague, Arnold Hahn, Otto Hahn, Otto Hahnemann, Christian Friedrich Samuel Hahnemann, Christian Friedrich Samuel Haidinger, Wilhelm Karl Hakluyt, Richard Hakluyt, Richard Haldane, John Burdon Sanderson Haldane, John Burdon Sanderson Haldane, John Scott Haldane, Richard Burdon Hale, George Ellery Hale, William Hales, Stephen Hales, Stephen Hall, Asaph Hall, Charles Martin Hall, Edwin Herbert Hall, Granville Stanley Hall, Granville Stanley Hall, James Hall, James Hall, Marshall Hall, Marshall Hall, Sir James Hall, Sir James Haller, Albrecht von Haller, Albrecht von Haller, Albrecht von Halley, Edmond Halley, Edmond Halley, Edmond Halliburton, William Dobinson Halliburton, William Dobinson

79. PSIgate - Physical Sciences Information Gateway Search/Browse Results hippocrates of chios Born about 470 BC in Chios (now Khios), Greece Died about410 BC Click the picture above to see a larger version Show birthplace http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=100&term1=b

80. Science Timeline hippocrates of chios, 430 bce. Hippocrates of Cos, 400 bce, 1185. His, Wilhelm,1887, early decades 20th century. Hitzig, Edward, 1870 http://www.sciencetimeline.net/siteindex_h.htm

use checkboxes to select items you wish to download Select Index Letter: a b c d ... w-x-y-z Haber, Edgar, 1962 Haber, Fritz,1909, 1915 Habermas, Jurgen, 1968 hackers, 1959 Haeckel, Ernst Heinrich, 1859, 1866, 1940 Hahn, Otto, 1938 Haken, Wolfgang, 1976 Haldane, John Burdon Sanderson, 1924, 1926, 1929, 1932, 1937, 1941 Hale, George Ellery, 1908, 1949 Hales, Stephen, 1727, 1733 Haley, Jay, 1952 Hall, Benjamin D., 1961 Hall, Chester More, 1733 Hall, Edwin Herbert, 1879, 1980 Hall, Howard, 1999 Hall, James, 1795 Hall, Jeffrey C., 1984, 1986, 1991 Hall, John L., 1989 Hall, Marshall, 1833 Halley, Edmund, 1678, 1693, 1705, 1718, 1758, 1759, 1835 hallucinagenic mushroom, 7000 bce Halm, Jacob, 1911 Hamburger, Viktor, 1975 Hamer, Dean H., 1993

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