1. Bryson Aristotle mentions bryson of heraclea, who was the son of Herodorus of Heraclea.Bryson was a Sophist and Aristotle criticises him both for his assertion http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bryson.html

Bryson of Heraclea Born: about 450 BC in Heraclea (now Taranto, Italy) Died: Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Plato and Aristotle both mention a mathematician called Bryson, but as is often the case, there is not complete agreement among scholars as to whether these refer to the same person or to two different people. Aristotle mentions Bryson of Heraclea, who was the son of Herodorus of Heraclea. Bryson was a Sophist and Aristotle criticises him both for his assertion that there is no such thing as indecent language, and also for his method of squaring the circle . We do know some details of this methods of squaring the circle and, despite the criticisms of Aristotle , it was an important step forward in the development of mathematics. Aristotle 's criticism appears to have been based on the fact that Bryson's proof used general principles rather than on geometric ones, but it is somewhat unclear exactly what Aristotle meant by this. Diogenes Laertius gives some other biographical details of Bryson, but these cannot all be correct since Bryson's interaction with a number of philosophers is stated, yet certain of these are impossible due to the dates during which these men lived. Perhaps the most likely of the details preserved by Diogenes Laertius is that Bryson was either a pupil of

2. Bryson Origins bryson of heraclea, a mathematician of ancient Greece around 350 BC, who devised a new way of squaring a circle. Naturally, no modern Bryson http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. B Index bryson of heraclea (527) Buckminster Fuller, R (135*) Budan de Boislaurent (171)Buffon, Georges Comte de (1715*) Bugaev, Nicolay (622*) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/B.html

Names beginning with B The number of words in the biography is given in brackets. A * indicates that there is a portrait. Babbage , Charles (2793*) Bachelier , Louis (1384*) Bachet , Claude (165) Bachmann , Paul (386*) Backus , John (542*) Bacon , Roger (657*) Baer , Reinhold (596*) Baghdadi , Abu al (947) Baire Baker, Alan Baker, Henry Ball, Robert ... Balmer , Johann (601*) Banach , Stefan (2533*) Banneker , Benjamin (892*) Banna , al-Marrakushi al (861) Banu Musa brothers Banu Musa, al-Hasan Banu Musa, Ahmad Banu Musa, Jafar ... bar Hiyya , Abraham (641) Barbier , Joseph Emile (637) Bari , Nina (403*) Barlow , Peter (623*) Barnes , Ernest (609*) Barocius , Franciscus (201) Barrow , Isaac (2332*) Barozzi , Francesco (201) Bartholin , Erasmus (189*) Batchelor , George (1035*) Bateman , Harry (1651*) Battaglini , Guiseppe (102*) Baudhayana Battani , Abu al- (1333*) Baxter , Agnes (624*) Bayes , Thomas (1539*) Beaugrand , Jean (222) Beaune , Florimond de (316) Beckenbach , Edwin (1243) Beg , Ulugh (1219*) Behnke , Heinrich (1886*) Bell, Eric Temple Bell, John Bellavitis , Giusto (762*) Beltrami , Eugenio (1057*) ben Ezra , Abraham (552) ben Gerson , Levi (268) ben Tibbon , Jacob (198) Bendixson , Ivar Otto (1208*) Benedetti , Giovanni (211) Benjamin , Thomas (1484*) Bergman , Stefan (311*) Berkeley , George (2008*) Bernays , Paul Isaac (772*) Bernoulli, Daniel

4. History Of Mathematics Chronology Of Mathematicians Heraclides of Pontus (c. 390c. 322) bryson of heraclea (c 350?) Menaechmus (c. 350) *SB Theudius of Magnesia (c. 350?) Thymaridas (c. 350) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. BizLand The earliest known bearer of the name was bryson of heraclea, a mathematician ofancient Greece around 350 BC, who devised a new way of squaring a circle. http://www.brysonclan.net/old.htm

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6. History Of Mathematics Greece Heraclides of Pontus (c. 390c. 322) bryson of heraclea (c 350?) Menaechmus (c. 350) Theudius of Magnesia (c. 350?) Thymaridas (c. 350) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Bryson bryson of heraclea. Born about 450 BC in Heraclea (now Taranto, Italy) Died ? Aristotle mentions bryson of heraclea, who was the son of Herodorus of Heraclea. http://www.gap-system.org/~history/Mathematicians/Bryson.html

Bryson of Heraclea Born: about 450 BC in Heraclea (now Taranto, Italy) Died: Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Plato and Aristotle both mention a mathematician called Bryson, but as is often the case, there is not complete agreement among scholars as to whether these refer to the same person or to two different people. Aristotle mentions Bryson of Heraclea, who was the son of Herodorus of Heraclea. Bryson was a Sophist and Aristotle criticises him both for his assertion that there is no such thing as indecent language, and also for his method of squaring the circle . We do know some details of this methods of squaring the circle and, despite the criticisms of Aristotle , it was an important step forward in the development of mathematics. Aristotle 's criticism appears to have been based on the fact that Bryson's proof used general principles rather than on geometric ones, but it is somewhat unclear exactly what Aristotle meant by this. Diogenes Laertius gives some other biographical details of Bryson, but these cannot all be correct since Bryson's interaction with a number of philosophers is stated, yet certain of these are impossible due to the dates during which these men lived. Perhaps the most likely of the details preserved by Diogenes Laertius is that Bryson was either a pupil of

8. The History Of Pi Antiphon and bryson of heraclea came up with the innovative idea of inscribing a polygon inside a circle, finding its area, and doubling the http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. History Of Mathematics: Greece 322); bryson of heraclea (c 350?) Menaechmus (c. 350); Theudius of Magnesia (c.350?) Thymaridas (c. 350); Dinostratus (c. 350); Speusippus (d. http://aleph0.clarku.edu/~djoyce/mathhist/greece.html

Greece Cities Abdera: Democritus Alexandria : Apollonius, Aristarchus, Diophantus, Eratosthenes, Euclid , Hypatia, Hypsicles, Heron, Menelaus, Pappus, Ptolemy, Theon Amisus: Dionysodorus Antinopolis: Serenus Apameia: Posidonius Athens: Aristotle, Plato, Ptolemy, Socrates, Theaetetus Byzantium (Constantinople): Philon, Proclus Chalcedon: Proclus, Xenocrates Chalcis: Iamblichus Chios: Hippocrates, Oenopides Clazomenae: Anaxagoras Cnidus: Eudoxus Croton: Philolaus, Pythagoras Cyrene: Eratosthenes, Nicoteles, Synesius, Theodorus Cyzicus: Callippus Elea: Parmenides, Zeno Elis: Hippias Gerasa: Nichmachus Larissa: Dominus Miletus: Anaximander, Anaximenes, Isidorus, Thales Nicaea: Hipparchus, Sporus, Theodosius Paros: Thymaridas Perga: Apollonius Pergamum: Apollonius Rhodes: Eudemus, Geminus, Posidonius Rome: Boethius Samos: Aristarchus, Conon, Pythagoras Smyrna: Theon Stagira: Aristotle Syene: Eratosthenes Syracuse: Archimedes Tarentum: Archytas, Pythagoras Thasos: Leodamas Tyre: Marinus, Porphyrius Mathematicians Thales of Miletus (c. 630-c 550)

10. GottliebMath Pi History of Heraclea inscribed a polygon in a circle and calculated the area of successive polygons as the number of sides increased. bryson of heraclea http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. History Of Mathematics: Chronology Of Mathematicians 322); bryson of heraclea (c 350?) Menaechmus (c. 350) *SB; Theudius of Magnesia (c.350?) Thymaridas (c. 350); Dinostratus (fl. c. http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html

Chronological List of Mathematicians Note: there are also a chronological lists of mathematical works and mathematics for China , and chronological lists of mathematicians for the Arabic sphere Europe Greece India , and Japan Table of Contents 1700 B.C.E. 100 B.C.E. 1 C.E. To return to this table of contents from below, just click on the years that appear in the headers. Footnotes (*MT, *MT, *RB, *W, *SB) are explained below List of Mathematicians 1700 B.C.E. Ahmes (c. 1650 B.C.E.) *MT 700 B.C.E. Baudhayana (c. 700) 600 B.C.E. Thales of Miletus (c. 630-c 550) *MT Apastamba (c. 600) Anaximander of Miletus (c. 610-c. 547) *SB Pythagoras of Samos (c. 570-c. 490) *SB *MT Anaximenes of Miletus (fl. 546) *SB Cleostratus of Tenedos (c. 520) 500 B.C.E. Katyayana (c. 500) Nabu-rimanni (c. 490) Kidinu (c. 480) Anaxagoras of Clazomenae (c. 500-c. 428) *SB *MT Zeno of Elea (c. 490-c. 430) *MT Antiphon of Rhamnos (the Sophist) (c. 480-411) *SB *MT Oenopides of Chios (c. 450?) *SB Leucippus (c. 450) *SB *MT Hippocrates of Chios (fl. c. 440) *SB Meton (c. 430) *SB

12. Bryson bryson of heraclea http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. PSIgate - Physical Sciences Information Gateway Search/Browse Results bryson of heraclea Born about 450 BC in Heraclea (now Taranto, Italy) Died ?Previous (Chronologically) Next Biographies Index Previous (Alphabetically) http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue.pl?term1=Plato&limit=

14. Biography Of Bryson Of Heraclea Biography of bryson of heraclea http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. The History Of Pi Antiphon and bryson of heraclea came up with the innovative idea of inscribinga polygon inside a circle, finding its area, and doubling the sides over and http://www.math.rutgers.edu/courses/436/436-s00/Papers2000/wilson.html

The History of Pi David Wilson History of Mathematics Rutgers, Spring 2000 Throughout the history of mathematics, one of the most enduring challenges has been the calculation of the ratio between a circle's circumference and diameter, which has come to be known by the Greek letter pi . From ancient Babylonia to the Middle Ages in Europe to the present day of supercomputers, mathematicians have been striving to calculate the mysterious number. They have searched for exact fractions, formulas, and, more recently, patterns in the long string of numbers starting with 3.14159 2653..., which is generally shortened to 3.14. William L. Schaaf once said, "Probably no symbol in mathematics has evoked as much mystery, romanticism, misconception and human interest as the number pi" (Blatner, 1). We will probably never know who first discovered that the ratio between a circle's circumference and diameter is constant, nor will we ever know who first tried to calculate this ratio. The people who initiated the hunt for pi were the Babylonians and Egyptians, nearly 4000 years ago. It is not clear how they found their approximation for pi, but one source (Beckman) makes the claim that they simply made a big circle, and then measured the circumference and diameter with a piece of rope. They used this method to find that

16. Full Alphabetical Index Francesco Fa di (521*) Bruno, Giuseppe (297) Bruno, Giordano (1891*) Bruns, Heinrich (90*) bryson of heraclea (527) Buckminster Fuller, R http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. GottliebMath: Pi: History bryson of heraclea was the first person to try to calculate pi using a valuegreater than that of pi and one below pi (by inscribing and circumscribing http://www.joshgott.com/gottliebmath/pi/history.html

GOTTLIEBMATH:PI:HISTORY History Page *Pi to 100 decimal places This page lists the main events in the history of, what is, in my opinion, the most important number that exists: the irrational, transcendental ratio of a circle's circumference to its diameter known to the world as Click here for the main page Click here for a list of formulas to calculate I would like to thank all of the references where I got much of the information for this page. Welcome to... THE PI HISTORY PAGE VERY EARLY PI (up to c. 500 BCE) THE GREEKS (c. 500 BCE to c. 0) PROGRESS IN ASIA (c. to c. 1000 CE) DIGITS GALORE! (c. 1000 CE to c. 1900 CE) ... THE ELECTRONIC AGE (1946 CE to present) VERY EARLY PI (up to c. 500 BCE) Back to Index of Time The first known mention of the ratio of circumference to diameter was written by Ahmes, an Egyptian scribe around 1650 BCE on the Rhind Papyrus. He implied that pi=256/81=3.16049..., less than 1% greater than our current value of 3.141592...! Even though he figured out a value for pi, it is doubtful he knew how to use it for circumference: the Rhind Papyrus talks about making a square whose area is equal to a circle's by using 8/9 of the diameter as one side. But the rest of the world didn't learn of his discovery: By 650 BCE, the Babylonians and the Jews were still using 3 for pi. In fact, the bible declares that the value of pi is 3: "Also he made a molten sea of ten cubits from brim to brim [diameter], round in compass....and a line of thirty cubits did compass it round about [circumference]."

18. Table Of Contents HIPPIAS OF ELIS. THE ODOROS OF CYRENE. ANTIPHON THE SOPHIST. bryson of heraclea. ASTRONOMY. PARMENIDES OF ELEA. PHILOLAOS OF CROTON. HICETAS http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. Bryson Family Ancestors Bryson Origins the name was bryson of heraclea, a Bryson. One creditabletheory has some similarity to the missionary legend. http://www.genealogy-family-tree-history.com/Bryant-Butler/Bryson-Family-Ancesto

Bryson Family Ancestors Bryson Family Ancestors Information Best Bryson Family Ancestors Resources Our Recommended Bryson Family Ancestors Site Best Way to Search the Internet for Your Ancestors Search Engine Genealogy includes live Internet links to MANY different genealogy sites you can use to find your ancestors. The not-so-good sites have been weeded out so you won't have to bother wasting your time on web sites that aren't going to help you. With Search Engine Genealogy , you can click the links right inside the ebook and be instantly whisked away to tremendous genealogy web sites that will provide wonderful resources. Search for your Ancestors now with Search Engine Genealogy More Bryson Family Ancestors Resources STORIES OF MY ANCESTORS STORIES OF MY ANCESTORS . Conrey Bryson . There have been many guesses as to the source of the name " Bryson ." Some genealogists think it is derticed from "son of Bryce." ... has drawn up a suggested coat of arms for the Bryson family , based on a description in a heraldry book entitled Riestap ... Ancestors of Bob Bryson Bob Bryson - Anne and Martin's Genealogy ...

20. ORIGIN RESEARCH Origin Research is a source of visionary new ideas on the future of our digital world. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

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