1. Bryson Origins 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

Variations: Bricen, Brison, Brisson, Bruson, Bryceson, Brydeson, Bryson The earliest known bearer of the name was Bryson of Heraclea, a mathematician of ancient Greece around 350 BC, who devised a new way of squaring a circle. Naturally, no modern Bryson can trace their lineage back to the original Bryson, but our name is very old. Unfortunately that age also clouds its origin. However, we have several theories based on fragmentary records. One legend told in the family is that two missionaries were sent from Rome to both France and Scotland. The missionary to France became known as Brisson. The missionary to Scotland became known as Bryson. Legend fables that we are the descendants of that Bryson. One creditable theory has some similarity to the missionary legend. It links the family with the French Brissons but as ancestors not comrades. This theory holds that the family descended from French Huguenots named Brisson. Around the time of the Massacre on St. Bartholomew Day in 1512 they escaped from France to Scotland, Ireland, and England. Their name gradually changed to the more anglicized Bryson with each passing year. Another theory has the family originating from Ulster, particularly in Counties Donegal and Derry. The earlier spelling of the name was Mrieson with similar variants. The Bryson and Morrison names evolved from those earlier Gaelic names. This theory holds that at least some of the Irish Brysons developed independent of the Scot Brysons.

2. 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/~cherlin/History/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

3. History Of Mathematics: Chronology Of Mathematicians A list of all of the important mathematicians working in a given century.Category Science Math Mathematicians Directories...... c. 322); bryson of heraclea (c 350?); Menaechmus (c. 350) *SB; Theudiusof 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

4. History Of Mathematics: Greece Details development of mathematics in Greece. Includes maps, list of mathematicians, sources, and bibliography. 390c. 322). bryson of heraclea (c 350?). Menaechmus (c. 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)

5. Bryson bryson of heraclea. Born about 450 BC in Heraclea (now Taranto, Italy) Died ? Aristotlementions bryson of heraclea, who was the son of Herodorus of Heraclea. http://www-gap.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 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 Socrates or of Euclid of Megara It is a little difficult to reconstruct exactly what Bryson's method of squaring the circle was. According to Alexander Aphrodisiensis, writing in about 210 AD, Bryson

6. Bryson Biography of Bryson (450BC390BC) bryson of heraclea. Born about 450 BC in Heraclea (now Taranto, Italy) http://www-history.mcs.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 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 Socrates or of Euclid of Megara It is a little difficult to reconstruct exactly what Bryson's method of squaring the circle was. According to Alexander Aphrodisiensis, writing in about 210 AD, Bryson

7. B Index Filippo (1667*) Bruno, Francesco Faà di (521*) Bruno, Giuseppe (297) Bruno, Giordano(1891*), Bruns, Heinrich (90*) bryson of heraclea (527) Buckminster Fuller http://www-gap.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 (*) Bachet , Claude (165) Bachmann , Paul (386*) Backus , John (542*) Bacon , Roger (657*) Baer , Reinhold (596*) Baghdadi , Abu al (947) Baire Baker , Alan (647*) Baker , Henry (195*) Ball , Walter W Rouse (85) 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 (545*) Battaglini , Guiseppe (102*) Baudhayana Battani , Abu al- (1333*) Baxter , Agnes (624*) Bayes , Thomas (538*) Beaugrand , Jean (222) Beaune , Florimond de (316) Beg , Ulugh (1219*) 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) Bergman , Stefan (311*) Berkeley , George (239*) Bernays , Paul Isaac (772*) Bernoulli, Daniel

8. The Clan Bryson History The earliest known bearer of the name was bryson of heraclea, a mathematician of ancient Greece around 350 BC, http://www.irishclans.com/cgi-bin/iclans.cgi/clandisplay/wwwd/goti/iclans?alias=

9. 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.joshgottlieb.net/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]."

10. [ 3.14ever - - Odyssey Charter School - - ThinkQuest.org ] still bound to take place. Two of the first Greeks to discover Pi wereAntiphon and bryson of heraclea. They tried finding the area http://library.thinkquest.org/CR0213924/history.html

Home About Us Interactive Information History ... Religous Connections The Discovery of Pi by Adam Bremer Ahmes Archimedes Leonhard Euler The use of the Pi symbol did not become popular until its adoption by the Swiss mathematician Leonhard Euler in 1737. Which is surprising because this symbol was used years before Euler adopted it. Several people believe that Pi was used in the Christian Bible. It is said that in the sixth century, Pi was used by christians to erect an altar in the temple of Solomon. Although this belief has been backed up by some people, others have tried to use it to prove that the Christian Bible is false. There also exists a third group who thinks that this proves that Pi's true value is 3, not 3.14. Click to read about those people. Ever since its discovery Pi has attracted a group of people whose life work is to find out the digits of Pi. Although Pi has been calculated to more decimal points than anyone could ever use, there are still people who are obsessed with learning more about Pi. These people are called digit hunters. One of the first digit hunters was Ludolf van Ceulen. His calculations led to the placement of Pi to 35 digits. It is rumored that he had the digit engraved on his tombstone. Although he is famous for his work, it soon became obsolete, and now that computers are being used to calculate Pi, we will drift further and further away from his discovery. Pi has just been placed to one million digits and some wonder if this will be enough. The truth is that as long as there are people out there who dedicate their life work to the extension of Pi, our knowledge of it will grow larger.

11. B Index Bruns, Heinrich (90*). bryson of heraclea (527). Budan de Boislaurent (171) 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 (*) Bachet , Claude (165) Bachmann , Paul (386*) Backus , John (542*) Bacon , Roger (657*) Baer , Reinhold (596*) Baghdadi , Abu al (947) Baire Baker , Alan (647*) Baker , Henry (195*) Ball , Walter W Rouse (85) 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 (545*) Battaglini , Guiseppe (102*) Baudhayana Battani , Abu al- (1333*) Baxter , Agnes (624*) Bayes , Thomas (538*) Beaugrand , Jean (222) Beaune , Florimond de (316) Beg , Ulugh (1219*) 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) Bergman , Stefan (311*) Berkeley , George (239*) Bernays , Paul Isaac (772*) Bernoulli, Daniel

12. Historyofpi The Principle of exhaustion was developed in around 400BC by Antiphonand bryson of heraclea. This involved working out the area http://students.bath.ac.uk/ns1pnb/historyofpi.htm

The Early History of Pi was first calculated in about 1650BC by Ahmes who was an Egyptian scribe. His writings were known as the Rhind Papyrus. In his words "cut off 1/9 of a diameter and construct a square upon the remainder; this has the same area as the circle". These days, knowing that the area of a cirlce is r , if the area of a square is 8/9, then Ahmes' theory implies that the ratio of the circumference to the diameter is 3.16049 and therefore his prediction of . However, Ahmes' word did not spread far. The Rhind Papyrus is the first recording of a circle being squared. This technique is one of the oldest mathematical problems and still continues to appear through history. The Rhind Papyrus was translated and explained by Eisenlohr in 1877 in Pi and the Greeks The Greeks studied the idea of the measure of circles between 500BC and 200BC. Their main interest in was for exploring and expanding their minds - not the idea of measuring land and for buildings. Anaxagoras of Clazomenae tried to find a definite relationship between squares and circles and was able to invent a way of drawing a square which had an area equal to a circle. The Principle of exhaustion was developed in around 400BC by Antiphon and Bryson of Heraclea. This involved working out the area of a circle by doubling the sides of a hexagon and repeating this several times. The idea was that eventually, the polygon would have so many sides that it would now have become a circle.

13. Full Alphabetical Index List of mathematical biographies indexed alphabetically Bruns, Heinrich (90*). bryson of heraclea (527). Buckminster Fuller, R (135*) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/Full_Alph.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (1317*) Adrianus , Romanus (419) Aepinus , Franz (822) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (2362*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912*) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

14. Full Alphabetical Index Translate this page 300*) Brouwer, LEJ (419*) Brown, Ernest (470*) Bruno, Francesco Faà di (521*) Bruno,Giuseppe (294) Bruns, Heinrich (90*) bryson of heraclea (527) Budan de http://www.maththinking.com/boat/mathematicians.html

Full Alphabetical Index Click below to go to one of the separate alphabetical indexes A B C D ... XYZ The number of words in the biography is given in brackets. A * indicates that there is a portrait. A Abbe , Ernst (602*) Abel , Niels Henrik (2899*) Abraham bar Hiyya (641) Abraham, Max Abu Kamil Shuja (1012) Abu Jafar Abu'l-Wafa al-Buzjani (1115) Ackermann , Wilhelm (205) Adams, John Couch Adams, J Frank Adelard of Bath (1008) Adler , August (114) Adrain , Robert (79*) Adrianus , Romanus (419) Aepinus , Franz (124) Agnesi , Maria (2018*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (660) Ahmes Aida Yasuaki (696) Aiken , Howard (665*) Airy , George (313*) Aitken , Alec (825*) Ajima , Naonobu (144) Akhiezer , Naum Il'ich (248*) al-Baghdadi , Abu (947) al-Banna , al-Marrakushi (861) al-Battani , Abu Allah (1333*) al-Biruni , Abu Arrayhan (3002*) al-Farisi , Kamal (1102) al-Haitam , Abu Ali (2490*) al-Hasib Abu Kamil (1012) al-Haytham , Abu Ali (2490*) al-Jawhari , al-Abbas (627) al-Jayyani , Abu (892) al-Karaji , Abu (1789) al-Karkhi al-Kashi , Ghiyath (1725*) al-Khazin , Abu (1148) al-Khalili , Shams (677) al-Khayyami , Omar (2140*) al-Khwarizmi , Abu (2847*) al-Khujandi , Abu (713) al-Kindi , Abu (1151) al-Kuhi , Abu (1146) al-Maghribi , Muhyi (602) al-Mahani , Abu (507) al-Marrakushi , ibn al-Banna (861) al-Nasawi , Abu (681) al-Nayrizi , Abu'l (621) al-Qalasadi , Abu'l (1247) al-Quhi , Abu (1146) al-Samarqandi , Shams (202) al-Samawal , Ibn (1569) al-Sijzi , Abu (708) al-Tusi , Nasir (1912) al-Tusi , Sharaf (1138) al-Umawi , Abu (1014) al-Uqlidisi , Abu'l (1028) Albanese , Giacomo (282) Albategnius (al-Battani) (1333*)

15. Bryson bryson of heraclea. Born about 450 BC in Heraclea Died ? Aristotle mentionsbryson of heraclea, who was the son of Herodorus of Heraclea. http://www.math.hcmuns.edu.vn/~algebra/history/history/Mathematicians/Bryson.htm

16. GEOMETRY bryson of heraclea took an important step when he circumscribed, in addition toinscribing, polygons to a circle, but he committed an error in treating the http://18.1911encyclopedia.org/G/GE/GEOMETRY.htm

document.write(""); GEOMETRY have ministered to the nurture of flower and tree, of the bird of the ar, the beast of,the field and of man himself. ‘But their destiny ~s still the great ocean. In that bourne alone can they find undisturbed repose, and there, slowly accumulating in massive beds, they will remain until, in the course of ages, renewed upheaval shall raise them into future land, there once more to pass through the same cycle of change. (A. GE.) omniunl n.aiurae arcanorurn conscios.” And they are to be especially regarded in geometry as, by the use of “ however absurd expressions,” classing extreme limiting forms with’ an infinity of intermediate cases, and placing the whole essence of a thing clearly before the eyes. Here, then, we find formulated by Kepler the doctrine of the concurrence of parallels at a single point at infinity and the principle of continuity (under the name analogy) in relation to the infinitely great. Such conceptions so strikingly propounded in ‘a famous work could not escape the. notice of contemporary mathematicians. Henry Briggs, in a letter to Kepler from Merton College, Oxford, dated “ so Cal. Martiis 1625,” suggests improvements in the Ad Vitellionem paralipomena, and gives the, following construction: Draw a line CBADC, and let at ellipse, a parabola, and a, hyperbola have B and A for focus and applications of it are covered, as when we say with Poncelet that all concentric circles in a plane touch one another in two imaginary fixed points at infinity. In G. K. Ch. von Staudt’s Geometric der Lage and Beitrage zur G. der L. (NUrnberg, 1847, 1856—1860) the geometry of position, including the extension of the field of pure geometry to the infinite and the imaginary, is presented as an independent science, “ welche des Messens nicht bedarL” (See GEOMETRY: Projective.)

17. PYRRHUS of Democritus, and became acquainted with the Megarian dialectic through bryson,pupil of time in history Greeks and Romans met in battle at heraclea near the http://84.1911encyclopedia.org/P/PY/PYRRHUS.htm

document.write(""); PYRRHUS silicate. The compact variety of pyrophyllite is used for slate pencils and tailors’ chalk (“ French chalk “), and is carved by the Chinese into small images and ornaments of various kinds. Other soft compact minerals (steatite and pinite) used for these Chinese carvings are included with pyrophyllite under the terms agalmatolite and pagodite. Pyrophyllite occurs in schistose rocks, often associated with cyanite, of which it is an alteration product. Pale green foliated masses, very like talc in appearance, are found at Beresovsk near Ekaterinburg in the Urals, and at Zerrnatt in Switzerland. The most extensive deposits are in the Deep river region of North Carolina, where the compact variety is mined, and in South Carolina and Georgia. At the present day the name pyroxene is used as a group name for all the minerals enumerated below, though sometimes it is also applied as a specific name to include the monoclinic members diopside, hedenbergite, schefferite and augite. Orthorhombic Series.

18. Weiser Antiquarian Books Mythology bryson, Lyman; FINKELSTEIN, Louis; HOAGLAND, Hudson; MACIVER, RM (editors).Symbols and Society. EVSLIN, Bernard. heraclea A Legend of Warrior Women. http://www.weiserantiquarian.com/cgi-bin/wab455/scan/mp=keywords/se=Mythology/st

19. New.TLG#E 0288, 001, PISANDER Epic. heraclea (fragmenta). 0290, 001, ENCOMIUM DUCIS THEBAIDOS,Fragmentum (P. Berol. 9799). Fragmentum. 1231, 001, bryson Phil. Fragmentum. http://www.tlg.uci.edu/CDEworks.html

Works new to TLG CD ROM #E See also works suppressed between CD ROM #D and #E EURIPIDES Trag. Cyclops EURIPIDES Trag. Alcestis EURIPIDES Trag. Medea EURIPIDES Trag. Heraclidae EURIPIDES Trag. Hippolytus EURIPIDES Trag. Andromacha EURIPIDES Trag. Hecuba EURIPIDES Trag. Supplices EURIPIDES Trag. Electra EURIPIDES Trag. Hercules EURIPIDES Trag. Troiades EURIPIDES Trag. Iphigenia Taurica EURIPIDES Trag. Ion EURIPIDES Trag. Helena EURIPIDES Trag. Phoenisae EURIPIDES Trag. Orestes EURIPIDES Trag. Bacchae EURIPIDES Trag. Iphigenia Aulidensis EURIPIDES Trag. Rhesus PLUTARCHUS Biogr. et Phil. De proverbiis Alexandrinorum [Sp.] PHILO JUDAEUS Phil. Fragmenta incerti operis (P. Oxy. 18.2158) ANTIPHON Orat. Fragmenta ANTIPHON Orat. Fragmenta ANACHARSIDIS EPISTULAE Epistulae ARCESILAI EPISTULA Epistula MITHRIDATIS EPISTULA Epistula CALANI EPISTULA Epistula CHIONIS EPISTULAE Epistulae ALEXANDRI MAGNI EPISTULAE Epistulae AMASIS EPISTULAE Epistulae ANTIOCHI REGIS EPISTULAE Epistulae ARTAXERXIS EPISTULAE Epistulae NICIAE EPISTULA Epistula PAUSANIAE I ET XERXIS EPISTULAE Epistulae Epistulae PISISTRATI EPISTULA Epistula PTOLEMAEI II PHILADELPHI ET ELEAZARI EPISTULAE Epistulae Fragmentum epistulae ad Clearetam MENIPPUS Phil.

20. BRYSON D'Héracléa bryson. d'Héraclea. Vers 450 ? av J.C. http://coll-ferry-montlucon.pays-allier.com/bryson.htm

BRYSON d'Héraclea Vers 450 - ? av J.C. Platon et Aristote font tous les deux mention d’un mathématicien appelé Bryson, mais il est impossible de savoir s’ils parlent du même ou de deux personnes différentes. Aristote mentionne un Bryson d’Héraclea, fils d’Hérodorus d’Héraclea. Bryson était un « Sophiste » et Aristote le critique à la fois pour son langage « indécent » ainsi que pour sa méthode de « quadrature du cercle . Dans ce dernier cas, il lui reproche d’avoir utilisé des « principes philosophiques généraux » plutôt que des principes géométriques. Diogènes Laertius fournit quelques autres détails biographiques sur Bryson, mais hélas, ils sont incompatibles avec les autres renseignements. Tout au plus peut-on supposer que Bryson fut élève de Socrate ou d’ Euclide Il est difficile de savoir exactement comment Bryson s’y prit pour réaliser sa « quadrature du cercle . Il semblerait qu’il ait inscrit un carré dans son cercle, lui-même inscrit dans un autre carré puis il aurait simplement construit un carré intermédiaire (moyen) entre les deux autres et affirmé que l’aire de ce carré était égale à l’aire du cercle. Cette « démonstration » est bien sûr absurde et très tôt, d’autres mathématiciens firent remarquer qu’il ne suffisait pas que deux grandeurs soient comprises entre deux autres pour qu’elles soient égales.

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