81. Untitled Document the views of his Greek predecessors from the sixth to the fourth century BC includingthose of Pythagoras (c.560480B-C), hippocrates of chios (fl.440B.C.) and http://www.vigyanprasar.com/dream/mar2001/comets.htm

Development of Cometary Thought PART - I Subodh Mahanti Lucius Annaeus Seneca (4B.C.-A.D.65) in Natural Questions ... In thick smoke of human sins, rising every day, every hour, every moment full of stench and horror, before the face of God and becoming gradually so thick as to form a comet, with curled and plaited tresses, which at last is kindled by hot and fiery anger of the supreme Heavenly Judge. Andreas Celichius in The Theologial Reminder of the New Comet (1578) Donald K.Yeomans in Comets : A Chronological History of observations, Science, Myth and Folklore (1991). The development of the scientific understanding about comets has a long and intriguing history. For centuries people (common people and scientists alike) have pondered the appearance of these mysterious apparitions. People's fascination for them, as seneca pointed out, was because they were unusual strange phenomena. They appear rarely. Before the seventeenth century comets were not considered as celestial bodies but as signals at a sinful Earth from God. celichius as quoted above was no doubt expressing the majority view of the comet prevalent in the 16th century. of course, there were opponents, though their number were few. for example Andreas Dudith (1533-89), the Hungarian scholar, countered celichius views by stating that if comets were caused by the sins of the mortals then they would never be absent from the sky.

82. Timeline Of Greek And Roman Philosophers Protagoras (480411 BC) Greek philosopher, Protagoras. hippocratesof chios (c. 470-c. 410 BC) Greek geometer, hippocrates. Socrates http://ancienthistory.about.com/library/bl/bl_time_philosophers.htm

zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') About History Ancient / Classical History Home ... Trojan War Hero Achilles - Troy zau(256,152,145,'gob','http://z.about.com/5/ad/go.htm?gs='+gs,''); Atlas and Places - Where? Ancient Greece - Greek Ancient Rome - Romans ANE Egypt Persia Israel... ... Help zau(256,138,125,'el','http://z.about.com/0/ip/417/0.htm','');w(xb+xb); Stay Current Subscribe to the About Ancient / Classical History newsletter. Search Ancient / Classical History Timelines Greek and Roman Philosophers and Mathematicians MORE INFORMATION Thales Greek philosopher Thales Pythagoras of Samos c c . 520 B.C.) Greek philosopher Pythagoras Anaximenes (d. c Greek philosopher Anaximenes Xenophanes of Colophon c Greek philosopher Xenophanes Parmenides of Elea c c . 445 B.C.) Greek philosopher Parmenides' Metaphysics Anaxagoras of Clazomenae c c . 428 B.C.) Greek philosopher Anaxagoras Links Empedocles of Acragas c c . 432 B.C.) Greek philosopher Empedocles Links Zeno of Elea c c . 430 B.C.) Greek philosopher Zeno Leucippus of Miletus c c . 420 B.C.) Greek philosopher Presocratic Philosophy Links Protagoras (480-411 B.C.)

83. 2verk2c 3. hippocrates frá chios. Hér er ég komin í sögu af hippocratesfrá chios sem var uppi mörgum öldum fyrir fæðingu Krists. http://www.ismennt.is/vefir/heilabrot/2verk5c.htm

5. sending (A) (B) (C) (D) (E) (F) (G) (H) (I)

84. Web Data Structures And Algorithms More about Heron of Alexandria. The Lunes of hippocrates More about hippocratesof chios. Wonders of Ancient Greek Geometry. (3) Modern Models of Computation. http://cgm.cs.mcgill.ca/~godfried/teaching/algorithms-web.html

"Computer science is no more about computers than astronomy is about telescopes." E. W. Dijkstra Useful General Links Godfried Toussaint's Course Topics on the Web 251B - Course Pages Mike Hallet's web page (Luc Devroye's Class Notes) ... The Algorithm Archive ( descriptions, references and downloadable code for many algorithms) The Complete Collection of Algorithm Animations David Eppstein's course on algorithms Algorithms Course at the University of Aberdeen Specific Course Material: 308-251A Chapter Index: The Complexity of Algorithms The Correctness of Algorithms Linear Data Structures Graphs ... Sequence Comparison 1. The Complexity of Algorithms: Models of Computation (Old and New) (1) Knotted Strings, the Abacus and other Models of Computation Gravity as a Computer: Computing the Centroid of a Polygon with a Plumbline Centers of Gravity of Polygons The Knotted String Computer Pythagoras' Theorem: Pythagoras' Theorem (An award winning proof and interactive Java applet demo) Animated Proof of the Pythagoream Theorem by M. D. Meyerson A Hinged Dissection Proof of the Pythagorean Theorem Other Dissection Proof s (with interactive Java applets) More than forty other proofs of the Pythagorean theorem The Converse of Pythagoras' Theorem The Abacus The Abacus in various number systems ... Links to History of Computing (2) The Straight Edge and Compass Francois Labelle's Tutorial on the Complexity of Ruler and Compass Constructions (with interactive Java applet) GRACE (A graphical ruler and compass editor) The straight-edge and compass Constructive geometry of the Greeks Geometric constructions Geometrography and the Lemoine simplicity of geometric constructions ... More Euclid on the Web Relative computing power of models of computation:

85. Kwadratuur Van Een Cirkel In de tijd van hippocrates van chios herleefde de hoop op de mogelijkheidde cirkel te kunnen kwadreren. hippocrates was er nl. http://www.math.rug.nl/didactiek/hippocrates/kwadratuur.htm

ALGEMENE INFORMATIE WERKPLAN VEEL GESTELDE VRAGEN EMAIL Kwadratuur van een cirkel Typering: Meetkunde, Algebra Klas: 5v, 6v (NT-leerlingen). Studielast: 10 sbu De maantjes van Hippocrates Oriëntatie De Griekse wiskundigen legden zichzelf de eis op om bij meetkundige constructies alleen gebruik te maken van een passer en een liniaal. Deze liniaal mag dan alleen een rechte lat zijn zonder deelstreepjes, de lengte doet er niet toe. Zie spelregels. Algemeen bekend zijn bijvoorbeeld de volgende constructies: Het midden van een gegeven lijnstuk, het halveren van een gegeven hoek, een regelmatige zeshoek. Er blijken ook meetkundige objecten te zijn die niet te construeren zijn, bijvoorbeeld een regelmatige 7-hoek, of trisectie van een hoek. We beperken ons tot kwadratuurproblemen. Bij dit soort problemen is het steeds de bedoeling om bij een gegeven figuur een vierkant (ook wel kwadraat genoemd) te construeren, dat dezelfde oppervlakte heeft. Als dat lukt zeggen we dat die figuur is gekwadreerd. Het werkwoord is kwadreren en niet kwadrateren.

86. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï about 460 BC in Elis, Peloponnese, Greece Died about 400 BC hippocrates, hippocratesof chios Born about 470 BC in chios (now Khios), Greece Died about 410 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=H

87. Biographies Hermite, Charles (18221901). Hilbert, David (18621943). Hippocratesof chios (ca. 470ca. 410 BC). Hudde, Johan van Waveren (16331704). http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Alphabetical Listing Biographies of over 100 people who have developed or used calculus or related mathematics: Abel, Niels Henrik (18021829) Agnesi, Maria Gaetana (17181799) Albert of Saxony (ca. 13161390) Alembert, Jean le Rond d' ... B.C.

88. Knowledge ª¾ÃѺô "§Æªi§J©Ô©³(§Æ«X´µªº) Hippocrates OF CHIOS The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.knowledge.idv.tw/Document.asp?DocumentNo=10205

89. Math History Photos / Chios.jpg Church in chios, Greece. Birthplace of Hippocratesof chios. Previous Home Next. http://online.redwoods.cc.ca.us/instruct/molsen/photo_album/pages/chios_jpg.htm

Church in Chios, Greece. Birthplace of Hippocrates of Chios Previous Home Next

90. Euclid's Elements, Book I, Proposition 3 According to Proclus (410485 CE) in his Commentary on Book I, Hippocratesof chios (fl. ca. 430 BCE) was the first to write an Elements. http://aleph0.clarku.edu/~djoyce/java/elements/bookI/propI3.html

Proposition 3 To cut off from the greater of two given unequal straight lines a straight line equal to the less. Let AB and C be the two given unequal straight lines, and let AB be the greater of them. It is required to cut off from AB the greater a straight line equal to C the less. Place AD at the point A equal to the straight line C, and describe the circle DEF with center A and radius AD. I.2 Post. 3 Now, since the point A is the center of the circle DEF, therefore AE equals AD. I.Def.15 But C also equals AD, therefore each of the straight lines AE and C equals AD, so that AE also equals C. C.N.1 Therefore, given the two straight lines AB and C, AE has been cut off from AB the greater equal to C the less. Q.E.F. Now it is clear that the purpose of Proposition 2 is to effect the construction in this proposition. According to Proclus (410-485 C.E.) in his Commentary on Book I, Hippocrates of Chios (fl. ca. 430 B.C.E.) was the first to write an Elements. Leon and Theudius also wrote versions before Euclid (fl. ca. 295 B.C.E.). These other Elements have all been lost since Euclid's replaced them. It is conceivable that in some of these earlier versions the construction in proposition I.2 was not known, so this proposition would instead have been a postulate (a stronger version of

91. HIPPOCRATES - Site Map - UK Shopping Directory - UK Shops Popular Searches for hippocrates, hippocrates. Shopping online for hippocratesor just looking for more information about hippocrates? http://www.ishop.co.uk/site-map/hi/hippocrates/index.shtml

home search customer service -UK Shopping Portal Online - Automotive Banking Books Business Services ... www.ishop.co.uk Popular Searches for HIPPOCRATES Hippocrates Biography of Hippocrates (470BC-410BC) ... Hippocrates of Chios. Born: about 470 BC in Chios (now Khios), Greece ... Hippocrates of Chios taught in Athens and worked on the classical problems of squaring the circle and ... http://www-groups.dcs.st-and.ac.uk/~history/M Hippocrates ... http://www.ea.pvt.k12.pa.us/medant/hippint.ht Continue Searching : Further Associated Searched keywords relating to HIPPOCRATES Please click here to return to the main site map index. HIPPOCRATES Shopping online for hippocrates or just looking for more information about hippocrates? Here at www.ishop.co.uk we aim to provide the most comprehensive resource of sites selling hippocrates and links to online resources such as search, information and price comparison tools that should quickly ensure you find sites containing information about hippocrates or directly selling hippocrates or releted products/services. Whilst we do not sell hippocrates directly the independent shopping and information links provided will ensure that you find the web sites that do sell hippocrates quickly, simply and at the best prices available ensuring you get the best deals online.

92. Chapter 16: Archimedes Among the earlier ones were Archytas of Tarentum, Plato s geometry teacher, Hippocratesof 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

93. Table Of Contents 4, THE FAMOUS PROBLEMS OF GREEK ANTIQUITY. 41, Introduction. 4-2, hippocrates ofChios and the quadrature of lunes. 4-3, Other quadratures. 4-4, hippocrates geometry. http://web.doverpublications.com/cgi-bin/toc.pl/0486255638

American History, American...... American Indians Anthropology, Folklore, My...... Antiques Architecture Art Bridge and Other Card Game...... Business and Economics Chess Children Clip Art and Design on CD-...... Cookbooks, Nutrition Crafts Detective, Ghost , Superna...... Dover Patriot Shop Ethnic Interest Features Gift Certificates Gift Ideas History, Political Science...... Holidays Humor Languages and Linguistics Literature Magic, Legerdemain Military History, Weapons ...... Music Nature Performing Arts, Drama, Fi...... Philosophy and Religion Photography Posters Puzzles, Amusement, Recrea...... Science and Mathematics Sociology, Anthropology, M...... Sports, Out-of-Door Activi...... Stationery, Gift Sets Stationery, Seasonal Books...... Summer Fun Shop Summer Reading Shop Travel and Adventure Women's Studies The Historical Roots of Elementary Mathematics by Lucas N. H. Bunt,Phillip S. Jones,Jack D. Bedient ISBN: 0486255638 Dover Publications Price: $12.95 click here to see this book Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems, by examining their origins in early Egyptian, Babylonian and Greek sources. Students can do division like the ancient Egyptians, solve quadratic equations like the Babylonians and more. Table of Contents for The Historical Roots of Elementary Mathematics F # minor Op. 6 No. 1

94. Ch 3 Euclid was not the first to write such a work. It is known that Hippocratesof chios (440 BC) and others had composed books of elements before him. http://www.k12.hi.us/~csanders/ch_03Theorems.html

Connecting Geometry Chapter 3 Theorems in Geometry In our study of geometry, we will be deal with many geometric figures such as triangles and circles, and we will be concerned mostly with their properties. A property of a geometric figure is some interesting or important thing that is true about the figure. For example, a property of a triangle is that it has 3 sides; this property comes from the definition of a triangle. But once we define "triangle", we might notice that it has other properties. For example, in GSP activity 1.1, you probably noticed that when you drag a vertex of the triangle, the lengths of the sides change. I hope you noticed that the measures of the angles change also. Do you think there is a relationship between the lengths of the sides and the sizes of the angles? If so, this would be an important property of triangles! In the diagram below, notice the measures of the sides and angles. What appears to be true about the relationship between the side and angle measures? If you said that the sides of the first triangle are all equal and the angles are all equal also, but in the second triangle the sides are unequal and the angles are unequal, then this is a good answer! Other answers are, of course, possible.

95. CUBEBS CUBEBS. CUBEBS (Arab. ka ba bah) , the fruit of several species ofpepper (Piper), belonging to the natural order Piperaceae. The http://83.1911encyclopedia.org/C/CU/CUBEBS.htm

CUBEBS CUBEBS A closely allied species, Piper Clusii, produces the African cubebs or West African black-pepper, the berry of which is smoother than that of common cubebs and usually has a curved pedicel. In the I4th century it was imported into Europe from the Grain Coast, under the name of pepper, by merchants of Rouen and Lippe. CUBE CUBICLE

96. Matematika - Geometrija U Grckoj The summary for this Macedonian page contains characters that cannot be correctly displayed in this language/character set. http://rastko.8m.net/antika/grckaost.html

Free Web site hosting - Freeservers.com Web Hosting - GlobalServers.com Choose an ISP NetZero High Speed Internet ... Dial up $14.95 or NetZero Internet Service $9.95 Hippocrates Zeno Eratosthenes Appolonius Hipparchus Heron Dophantus Menelaus Ptolomey Pappus Êëàñè÷íî, èëè "Çëàòíî Äîáà" ð÷êå ¼å ïåðèîä 500-323 ã. ï.í.å. Ïåðèîä èçìåó IV è II âåêà ï.í.å. ïîçíàò ¼å êàî Õåëåíèñòè÷êî Äîáà. (Hippocrates of Chios, fl. 440 BC) ãð÷êè ìàòåìàòè÷àð çàáåëåæåí ïî èçðà÷óíàâàœèìà ôèãóðà êî¼å íàçèâàìî ïîëóìåñåöè. Ïðåòïîñòàâšà ñå äà ¼å äîïðèíåî è ðåøàâàœó ïðîáëåìà óäâîñòðó÷àâàœà êîöêå. (Zeno of Elea, 5th century BC) ¼å àóòîð ÷åòèðè ïàðàäîêñà êî¼è óêàçó¼ó íà òåøêîžå óâåðåœà ó îïøòó áåñêîíà÷íó äåšèâîñò. Íà¼ïîçíàòè¼à ¼å î òðöè áðçîíîãîã Àõèëà è ñïîðå êîðœà÷å ó êî¼î¼ êîðœà÷à èìà ïî÷åòíó ïðåäíîñò. Äà áè ïðåñòèãàî êîðœà÷ó Àõèë ïðâî ìîðà äîžè äî êîðœà÷èíå ñòàðòíå ïîçèöè¼å. Àëè äî òàäà žå êîðœà÷à èçìàžè íàïðåä ó íîâó ïîçèöè¼ó. Äîê Àõèë äîñòèãíå îâó, êîðœà÷à žå ñå îïåò ïîìåðèòè íàïðåä. Ïàðàäîêñ ¼å ó òîìå äà Àõèë íèêàä íå ïðåñòèæå êîðœà÷ó, ìà êàêî áðçî òð÷àî. (Eratosthenes of Cyrene

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