1. Math Trivia Quiz 1 to be around 355/113? A. tsu ch'ung chi. B. Pythagoras http://www.ktb.net/~cct/geom/trivia1.html

Math Trivia Quiz 1 Name: If you need help, look at Some Math History 1. Who developed a mathematical Theory of the electron, and won a Nobel Prize for it in 1902? A. Karl Friedrich Gauss B. Hendrik Antoon Lorentz C. Rene Descarte D. Leonhard Euler E. None of These 2. How do you correctly pronounce "Euler"? A. like "Yoo-Ler" B. like "Oil-ler" C. like "AY-oo-ler" 3. Who were the two mathematicians that invented calculus? A. Leibniz and Laplace B. Gauss and Poincare C. Newton and Gauss D. Newton and Leibniz E. Fibonacci and Euler 4. Who estimated Pi ( ) to be around 355/113? A. Tsu Ch'ung Chi B. Pythagoras C. Euclid D. Euler E. Archimedes 5. What is Pi ( ), exactly? A. the ratio of a circle's circumfrence over its radius B. the ratio of a circle's circumfrence over its diameter C. 3.1415926 D. the ratio of a circle's diameter over its radius E. None of These 6. Who was the first to use "x" to represent an unknown varible in Algebra A. Descartes B. Viete C. Poincare

2. Zu_Chongzhi Zu Chongzhi's name is sometimes written as tsu ch'ung chi. He came from a famous family who were originally from Hopeh Lunar features. Crater Tsu ChungChi http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Tsu.html

Tsu This biography is now under Zu Chongzhi You should be automatically forwarded to the correct page. If your browser leaves you on this page, then press HERE JOC/EFR January 2004

3. - Great Books - tsu ch'ung chi ( 430501) Browse Books, music, art. Books from Amazon Chinese Mathematics. Books from Alibris Chinese Mathematics. Related Science Links. Medieval Science. Library Catalogs This http://www.mala.bc.ca/~mcneil/tsu.htm

Tsu Ch'ung Chi (430-501) Please wait for Page to Load or Enter Here

4. Malaspina.com - Tsu Ch'ung Chi (430-501) Research bibliography, books and links to 1 000 other interdisciplinary entries compiled by Russell McNeil. http://www.mala.bc.ca/~mcneil/tsu1.htm

Tsu Ch'ung Chi (430-501) [MacTutor, St. Andrews] Great Books Biography [Malaspina] Tsu Ch'ung Chi Amazon Search Form] Used Books Search Form Alibris Dummies Books Amazon Canadian Book Orders! Chapters-Indigo Save on Textbooks! [Study Abroad] Tsu Chi [Berkeley Citation] MacTutor Page on Tsu Ch'ung Chi Top of Page

5. History 430AD tsu ch'ung chi was born in Fanyang, China in 430 AD the least mentioned for his work is tsu ch'ung chi. A mathematician and astronomer between 430 http://www.oxy.edu/~jquinn/home/Math490/Timeline/430AD.html

430 A.D. Contributions from Charles and Fili Tsu Ch'ung Chi was born in Fan-yang, China in 430 AD. He was an astronomer, engineer and mathematician. In astronomy, he recommended a new calendar that he made in 463. He also found an accurate time of the solstice by measuring the length of the Sun's shadow at noon around the time of the solstice. In mathematics he found a rational approximation 355/113 = 3.14159265 to pi (3.1415927 ). This is correct for six decimal places. Not much is known about his approximation because his book, written by his son is now lost. Tsu Ch'ung Chi and his father found the formula for the volume of a sphere by carrying out Liu Hui's suggestion. Author : Charles DeBoer References: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Tsu.html JOC/EFR December 1996 http://www.bmwf.gv.at/1bm/texts/95-2/9math.htm http://aleph0.clarku.edu/~djoyce/mathhist/china.math, Outline of the History of Chinese Mathematics Mathematics 105, History of Mathematics, Clark University, Worcester, MA 01610, Fall 1994, D Joyce Chinese mathematicians have contributed vastly to our current knowledge of Math. Perhaps one of the least mentioned for his work is Tsu Ch'ung Chi. A mathematician and astronomer between 430-501 AD, Chi calculated the rational approximation of 355/113 to Pi. His estimation

6. Chinese Astronomers Tsu Ch'ungChi. tsu ch'ung chi (430-501) was a Chinese mathematician and astronomer http://www.chinapage.com/astronomy/astronomer.html

Chinese Astronomers Zhang Heng (78-139) was a Chinese astronomer, geographer, and mathematician. He constructed a celestial globe, believing that the world was round, "The sky is like a hen's egg, and is as round as a crossbow pellet; the Earth is like the yolk of the egg, lying alone at the centre. The sky is large and the Earth small." He also created a primitive, but very fanciful seismograph . His approximation of pi was the square root of 10. More.. More.. More Seismographs Zhang Sui A Chinese astronomer and Buddhist monk of the Tang dynasty, Zhang Sui (683-727), was the first to describe proper stellar motion, or the apparent motion of stars across the plane of the sky relative to more distant stars. In Western astronomy, Edmond Halley is credited with this discovery in 1718 for some stars from Ptolemy's catalogue. Cui Zhongji [Tsu Ch'ung-Chi] Cui Zhongji [Tsu Ch'ung Chi] (430-501) was a Chinese mathematician and astronomer. In astronomy, he arrived at the precise time of the solstice by measuring the sun's shadow at noon on days around the solstice. He gave the rational approximation 355/113 to p which is correct to 6 decimal places.

7. Poster Of Tsu tsu ch'ung chi. lived from 430 to 501. Tsu was a Chinese mathematician and astronomer http://www-history.mcs.st-and.ac.uk/history/Posters2/Tsu.html

Tsu Ch'ung Chi lived from 430 to 501 Tsu was a Chinese mathematician and astronomer. He introduced the approximation 355/113 to which is correct to 6 decimal places. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Tsu.html

8. ThinkQuest : Library : The Pi*e Cafe 3.1416. 480? tsu ch'ung chi. 3.1415926 http://library.thinkquest.org/26728/s1p2.htm

Index Math Arithmetic The Pi*e Cafe When people hear the number Pi, we hear they go, "Oh no, not another of those projects focusing on Mathematics, numbers, equations..." I am not a mathematician, I am not a genius, I am just an ordinary student studying in a high school. So my aim of this project? To let people like me explore the other side of Pi, to know the other 'values' of this unique number. What roles do Pi play in our lives? What does Pi do in our world where we work, study or play? Is Pi really just another pure mathematical number or does it have other fun aspects we can talk about? This is exactly what we are going to explore in this project. Visit Site 1999 ThinkQuest Internet Challenge Languages English Students Amareswari BRONX HIGH SCHOOL OF SCIENCE, Bronx, NY, United States Zhengyong The Chinese High School, Singapore, Singapore Coaches Ilango The Chinese High School, Singapore, Singapore Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site.

9. - Great Books - 1097), Medieval Science. 119. tsu ch'ung chi ( 430-501), Medieval Science http://www.malaspina.com/site/results_c9_page2.htm

Search Results for: Science 123 results found Pythagoras of Samos (c. 580 BC-c. 520 BC), Antiquity Science Qurrah al-Harrani, Thabit ibn (826-901), Medieval Science Razi (-al), Abu Bakr Mohammad Ibn Zakariya (c. 865-c. 935), Medieval Science Richards, Ellen Swallow (1842-1911), Romantic Science Russell, Bertrand (1872-1970), Modern Literature/Science Schrödinger, Erwin (1887-1961), Modern Science Snow, Baron Charles Percy Snow (C.P.) (1905-1980), Modern Literature/Science Somerville, Mary Fairfax (1780-1872), Classical Science Stevens, Nettie Maria (1861-1912), Romantic Science Strabo (c. 63 BC-3 BC), Antiquity Science Sudarkasa, Niara (1945-), Modern Science Tabari (-al), Ali Ibn Rabban (838-870), Medieval Science Thales of Miletus (c. 634 BC-c. 546 BC), Antiquity Science Theano of Kroton (c. 550 BC-), Antiquity Science Theophrastus (c. 371 BC-287 BC), Antiquity Literature/Science Torricelli, Evangelista (1608-1647), Baroque Science Trotula of Salerno (c. 1097-), Medieval Science Tsu Ch'ung Chi (430-501), Medieval Science Vesalius, Andreas

10. Prime Curios!: 113 tsu ch'ungchi (430-501 AD) and his son stated that is approximately 355/113 http://primes.utm.edu/curios/page.php/113.html

(another Prime Pages ' Curiosity) Curios: Index Search Home Random ... Random Participate: Mail Editor Submit Curio Prime Puzzio Test Number The smallest three digit Permutable prime Bhargava Doyle = 12769 and its reversal 96721 = 311 , another (reversed) prime square. [ Friend The smallest three digit prime whose product and sum of digits is prime. [ Russo Tsu Ch'ung-Chi (430-501 AD) and his son stated that is approximately 355/113. The smallest prime factor of 12345678910111213 (the concatenation of the first thirteen natural numbers). [ Russo 113 is the atomic number of an element temporarily called Ununtrium. Note that it is the last discovered element with a prime atomic number. [ Kulsha 113 = 1 + (sum of first 13 odd primes - 13)/2. [ Russo 1^0+1^0+3^0=3;1^1+1^1+3^1=5;1^2+1^2+3^2=11;1^3+1^3+3^3=29;1^4+1^4+3^4=83; 113 is the smallest (non-trivial) prime for which the sums of the first 5 powers of the digits are all prime. [ Rupinski The largest of the fifteen prime numbers p that require a prime number of digits when written in any prime base less than or equal to p. It is 1110001 in

11. Zu_Chongzhi Zu Chongzhi s name is sometimes written as tsu Ch ung chi. He came from a famousfamily who were originally from Hopeh province in northern china. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Zu_Chongzhi.html

Zu Chongzhi Born: 429 in Jiankang, (now Nanking, Kiangsu province), China Died: 501 in China Click the picture above to see three larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Zu Chongzhi 's name is sometimes written as Tsu Ch'ung Chi . He came from a famous family who were originally from Hopeh province in northern China. His great grandfather was an official at the court of the Eastern Chin dynasty which had been established at Jiankang (now Nanking). Weakened by court intrigues, the Eastern Chin dynasty was replaced after a revolt by the Liu-Sung dynasty in 420. Zu Chongzhi's grandfather and father both served as officials of the Liu-Sung dynasty which also had its court at Jiankang (now Nanking). The Zu family was an extremely talented one with successive generations being, in addition to court officials, astronomers with special interests in the calendar. In ancient China there was a belief that an emperor received his right to rule from heaven. Producng a calendar specifically for a new emperor established a link from the heavens to the particular rule. This meant that astronomers had important roles at court for their skills could result in an emperor's successful rule. The Zu family handed their mathematical and astronomical skills down from father to son and, indeed, this was one of the main ways that such skills were transmitted. Zu Chongzhi, in the family tradition, was taught a variety of skills as he grew up. In particular he was taught mathematics, astronomy and the science of the calendar from his talented father. He learnt mathematics from a number of sources, but mainly from

12. Poster Of Tsu tsu Ch ung chi. lived from 430 to 501. tsu was a chinese mathematicianand astronomer. He introduced the approximation 355/113 to http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Tsu.html

Tsu Ch'ung Chi lived from 430 to 501 Tsu was a Chinese mathematician and astronomer. He introduced the approximation 355/113 to which is correct to 6 decimal places. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Tsu.html

13. - Great Books - tsu Ch ung chi (430501), tsu was a chinese mathematician and astronomer.He tsu Ch ung chi s book, written with his son, is lost. tsu s http://www.malaspina.com/site/person_1144.asp

Tsu Ch'ung Chi Tsu was a Chinese mathematician and astronomer. He gave the rational approximation 355/113 to which is correct to 6 decimals. Tsu Ch'ung Chi's book, written with his son, is lost. Tsu's astronomical achievements include the making of a new calendar in 463 which never came into use. Tsu also determined the precise time of the solstice by measuring the length of the Sun's shadow at noon on days near the solstice to reduce errors caused by the fact that it is very difficult to determine the exact time of the solstice. [Adapted from MacTutor The Great Books Chinese Mathematics in the Thirteenth Century This web page is part of a biographical database on Great Ideas . These are living ideas that have shaped, defined and directed world culture for over 2,500 years. By definition the Great Ideas are radical. As such they are sometimes misread, or distorted by popular simplifications. Understanding a Great Idea demands personal engagement. Our selection of Great Ideas is drawn from literature and philosophy science art music ... theatre , and cinema . We also include biographies of pivotal historical and religious figures , as well as contributions from women and other historically under-represented minorities . The result is an integrated multi-cultural and multi-disciplinary database built upon the framework of a Great Books Core List developed by Mortimer Adler (1902-2001) nearly 50 years ago.

14. - Great Books - Truffaut, François (1932), Modern Cinema 48. Truth, Sojourner (c. 1797-1883),Romantic Literature 49. tsu Ch ung chi (430-501), Medieval Science 50. http://www.malaspina.com/site/results_iT_page1.htm

Index Listings for: T 52 listings found Browse again by first initial of authors authors last name A B C D ... S T U V W X ... Tabari (-al), Ali Ibn Rabban (838-870), Medieval Science Tacitus (55-117), Antiquity Literature Takemitsu, Toru (1930-1996), Modern Music Tallis, Thomas (1505-1585), Renaissance Music Tanguy, Yves (1900-1955), Modern Art Tanning, Dorothea (1910-), Modern Art Tarkovsky, Andrei (1932-), Modern Cinema Tartini, Giuseppe (1692-1770), Baroque Music Tati, Jacques (1908-1982), Modern Cinema Taverner, John (c. 1490-1545), Renaissance Music Taylor, Charles (1931-), Modern Literature Tchaikovsky, Peter Ilich (1840-1893), Romantic Music Telemann, Georg Philipp (1681-1767), Baroque Music Terence (185 BC-159 BC), Antiquity Theatre Teresa of Avila (1515-1582), Renaissance Literature Terpander of Antissa in Lesbos (c. 710 BC-), Antiquity Music Thackeray, William Makepeace (1811-1863), Romantic Literature Thales of Miletus (c. 634 BC-c. 546 BC), Antiquity Science Theano of Kroton (c. 550 BC-), Antiquity Science Theodora (Empress) (c. 500-548), Medieval History

15. EUCLID tsu CH UNG chi c.430 c.501 chinese Mathematician. tsu Ch ung chi,mathematician and astronomer, who calculated the value of pi http://www.hyperhistory.com/online_n2/people_n2/persons3_n2/tsu.html

TSU CH'UNG CHI c.430 - c.501 Chinese Mathematician Tsu Ch'ung Chi, mathematician and astronomer, who calculated the value of pi to 6 decimal places, and determined the precise time of the solstice www link : From the University of St. Andrews, Scotland School of Mathematics Biography

16. INDEX 5 sojo Tocqueville L Tojo P Tolstoy * Toramana Torricelli S Toulouse * Lautrec A Trajan* Tribonian * Truman P Tsai-lung Tshu-hi tsu Ch ung chi * Tudor, Mary W http://www.hyperhistory.com/online_n2/History_n2/index_n2/index5.html

To General Lifelines To Special Lifelines To A-B To C-G To H-M To N-R S-Z Title S - Si S abaka Sachs , Hans L Sade Marquis de L Sadi Saikaku , Ihara L Saladin Sallust Sand , George L Sanger Margaret W Santa Ana P San Martin P Sappho Sartre Satie C Saud , Ibn P Savonarola Scarlatti C Schiller Schinkel A Schoenberg C Schrodinger S Schubert C Schumann Robert C Schumann Clara W Schutz Scipio Scotus Seleucus ... Selim I P Semper A Seneca Seurat A Severus Shajahan P Shaka P Shakespeare Shankara Shapur I Shaw ... Shostakovich C Shotoku Sian-chin Sibelius C Siemens S Sigismund Sigismund III King of Poland P Siloe A Sirani Elisabetta W ibn- Sina Sinan Sivaji P Sm - Sy Smetana C Snorri Socrates Solomon Solon ... Sorol Agnes W Spartacus Spinoza Ssu-ma Chien Stael , Mdm L Stalin Stein , Gertrude W Stein , Baron P Steinbeck L Stendhal L Stephenson S Stilicho Stowe , Harriet W Strabo J. Strauss C R. Strauss C Stravinsky C Strindberg L Stuart Mary W Sui Wen-ti Sui Yang-ti Sukarno P Suleiman Sulla Sun Yat-Sen P Swift L Sylvester II X enophanes Xerxes ... apata P Zeno Zenobia Zola L Zoroaster Zworykin S T - U T abari, al- Tacitus Tagore L T'ai-tsung Talleyrand P Tannhauser T'ao Tao-yue Tasso Torquato L Tchaikovsky C Tchekhov L Tecumseh P Telemann C Tenji Terence Terpander Tertullian ... Tesla S Thales Themistocles Theodora Theodoric ... Theresia,

17. MA 2108's Home Page tsu Ch ung chi ×æ³åÖ®(430501). Links to Calculus at Other Universities.Calculus II at the University of Pennsylvania. Calculus at Harvard, http://www.math.nus.edu.sg/~matwujie/Spring02/

MA 2108, Spring 2002 Advanced Calculus II Lecturer: J. Wu Tutors: J. Wu Office: S14, 04-07, Faculty of Science, Lower Kent Ridge Road. e-mail: matwuj@nus.edu.sg Phone: Text Books: William R. Parzynski and Philip W. Zipse, Introduction to mathematical analysis , International Edition 1987, McGraw-Hill Book Company Press. G. B. Thomas, Jr. and Ross L. Finney, Calculus and analytic geometry , 9th Edition, International Student Edition, Addison-Wesley Longman Inc. Press, 1996. M. Braun, Differential equations and their applications, 3rd Edition, Applied Mathematical Sciences V. 15, Springer-Verlag, 1986. Course Outline Lecture Notes Supplement to Section 3.9 Supplement to Section 3.10 Lectures: Monday, Thursday, 4:00-5:30 pm, LT26. Everybody must attend all lectures and should arrive on time. In case you missed the class due to sick, then you should submit your MC to me. If you missed some classes without sufficient reasons, you might get negative credit to your grade from the course. Tutorials: Group 1: Tuesday 11-12, S13 0501

18. Tsu tsu Ch ung chi. a remarkable result on which it would be nice to have moredetails but tsu Ch ung chi s book, written with his son, is lost. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Ts.htm

Tsu Ch'ung Chi Born: 430 in Fan-yang (now Hopeh), China Died: 501 in China Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Tsu was a Chinese mathematician and astronomer. He gave the rational approximation 355/113 to which is correct to 6 decimal places. He also proved that a remarkable result on which it would be nice to have more details but Tsu Ch'ung Chi's book, written with his son, is lost. Tsu's astronomical achievements include the making of a new calendar in 463 which never came into use. Tsu also determined the precise time of the solstice by measuring the length of the Sun's shadow at noon on days near the solstice to reduce errors caused by the fact that it is very difficult to determine the exact time of the solstice. References (3 books/articles) References elsewhere in this archive: A poster of this mathematician is available Tell me about approximations for There is a Crater Tsu Chung-Chi on the moon. You can see a list of lunar features named after mathematicians. Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Tsu.html

19. References For Tsu References for tsu Ch ung chi. Biography in Dictionary of ScientificBiography (New York 19701990). Articles U Libbrecht, chinese http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ5AF1.htm

References for Tsu Ch'ung Chi Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: U Libbrecht, Chinese Mathematics in the Thirteenth Century (Cambridge, Mass., 1973), 275-276. Y-L Zha, Research on Tsu Ch'ung-Chih's approximate method for , in Science and technology in Chinese civilization (Teaneck, NJ, 1987), 77-85. Close this window or click this link to go back to Tsu Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Tsu.html

20. History 430AD tsu Ch ung chi was born in Fanyang, china in 430 AD. He was Math. Perhapsone of the least mentioned for his work is tsu Ch ung chi. A http://faculty.oxy.edu/jquinn/home/Math490/Timeline/430AD.html

430 A.D. Contributions from Charles and Fili Tsu Ch'ung Chi was born in Fan-yang, China in 430 AD. He was an astronomer, engineer and mathematician. In astronomy, he recommended a new calendar that he made in 463. He also found an accurate time of the solstice by measuring the length of the Sun's shadow at noon around the time of the solstice. In mathematics he found a rational approximation 355/113 = 3.14159265 to pi (3.1415927 ). This is correct for six decimal places. Not much is known about his approximation because his book, written by his son is now lost. Tsu Ch'ung Chi and his father found the formula for the volume of a sphere by carrying out Liu Hui's suggestion. Author : Charles DeBoer References: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Tsu.html JOC/EFR December 1996 http://www.bmwf.gv.at/1bm/texts/95-2/9math.htm http://aleph0.clarku.edu/~djoyce/mathhist/china.math, Outline of the History of Chinese Mathematics Mathematics 105, History of Mathematics, Clark University, Worcester, MA 01610, Fall 1994, D Joyce Chinese mathematicians have contributed vastly to our current knowledge of Math. Perhaps one of the least mentioned for his work is Tsu Ch'ung Chi. A mathematician and astronomer between 430-501 AD, Chi calculated the rational approximation of 355/113 to Pi. His estimation

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