41. Bootlegbooks: Websters Revised Unabridged Dictionary 1913, Page 1243 trixes or trices NL. (Geom.) A curve made use of in the quadrature ofother curves; as the quadratrix, of dinostratus, or of Tschirnhausen. http://www.bootlegbooks.com/Reference/Webster/data/1243.html

Websters Revised Unabridged Dictionary 1913 Page No: 1243 Table of Contents and Search Form Previous Page Next Page Q Q the seventeenth letter of the English alphabet, has but one sound and is always followed by u , the two letters together being sounded like kw , except in some words in which the u is silent. See Guide to Pronunciation , § 249. Q is not found in Anglo-Saxon, cw being used instead of qu ; as in cwic , quick; cwen , queen. The name (k u ) is from the French ku Etymologically, q or qu is most nearly related to a p q , and wh ; as in cud, quid , L. equ us, e c us, horse, Gr. whence E. equ ine, hi pp ic; L. qu od which, E. wh at; L. a qu ila, E. ea q le; E. ki tch en, OE. ki che ne, AS. cycene, L. co qu ina. Qua Qua conj. [L., abl. of qui who.] In so far as; in the capacity or character of; as. It is with Shelley's biographers qua biographers that we have to deal. London Spectator. Quab Quab n. [Cf. D. kwab eelpout, Dan. quabbe , G. quabbe quappe , LG. quabbe a fat lump of flesh, and L. capito a kind of fish with a large head, fr. caput the head, also E.

42. Greek Democracy Apollonius Archimedes Archytas Aristaeus Aristotle Autolycus of Pitane Bryson CallippusChrysippus Cleomedes Conon Democritus dinostratus Diocles Dionysodorus http://lilt.ilstu.edu/connections/greek_democracy.htm

The Democratic foundation established by the ancient Greeks Abstract: Our integrated project blends the subjects of math and history. Since two of our group members never bothered to show up these are the only two subjects we will be covering, with the two history majors focusing on religion and government respectively. The math portion will focus on famous Greek mathematicians. With the help of a special education major, we will alter the plan to cater to the needs of special needs students. I plan to use the week to explain how the ancient Greeks introduced a democratic form of government. This was a revolutionary form of rule in a world of dictators and tyrants. Throughout the week the class will learn about the origins of Greek democracy and its prominent figures. We will then compare and contrast the Greek form of democracy to the one used in our own government. We will also be discussing the possible reasons why democracy failed in Greece and if it seems possible for the United States to suffer the same fate. Names and Majors of the Team Members: Clint Shewmaker- History Education Brandon Schoenman- History Education Jose Gonzalez- Mathematics Education Tom Witschi- Special Education Subjects Integrated: History/ Government: The Democratic foundation established by the ancient Greeks History: Greek Gods Math: The Mathematical foundations that was built by the Greeks Objectives: Upon completion of this lesson, participating students will be able to note five key similarities between the ancient Greek democracy and the democracy of the United States.

43. Full Alphabetical Index Translate this page Leonard (618*), Dickstein, Samuel (1009*) Dieudonné, Jean (138*) Digges, Thomas(353) Dinghas, Alexander (86*) Dini, Ulisse (1000*) dinostratus (491) Diocles 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*)

44. Full Alphabetical Index Leonard (618*), Dickstein, Samuel (1009*) Dieudonné, Jean (138*) Digges, Thomas(353) Dinghas, Alexander (86*) Dini, Ulisse (66*) dinostratus (491) Diocles http://alas.matf.bg.ac.yu/~mm97106/math/alphalist.htm

Full Alphabetical Index 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 (12)

45. Re: [HM] Origin Of Quadratic By Sanford Segal Usually in mathematics quadr refers to a square; for example, the quadratrixof Hippias and dinostratus was used to square the circle. In German, I note http://mathforum.org/epigone/historia_matematica/banghenstend/l03130300b6fba84fb

Re: [HM] Origin of Quadratic by Sanford Segal reply to this message post a message on a new topic Back to messages on this topic Back to Historia-Matematica Discussion Group Subject: Re: [HM] Origin of Quadratic Author: ssgl@math.rochester.edu Date: Thu, 12 Apr 2001 14:02:08 -0500 "Quadratus" is the Latin word for a square; the Latin word for four is "quattuor". I do not know how "quadr-" became associated with "four"; though "quadrangle" I believe occurs in Shakespeare but I would guess that quadrangle and quadrilateral originally were geometric figures that had the same number of angles or sides as a square. Usually in mathematics "quadr-" refers to a square; for example, the "quadratrix of Hippias and Dinostratus" was used to "square the circle." In German, I note that the German word for a "square" is "Quadrat" , and for a "square root", "Quadratwurzel". Sanford Segal The Math Forum

46. Math Forum - Geometry.pre-college skill / many other reasons, collected / historical perspective / deductive logic/ straightedge and compass constructions / Hippias, dinostratus, the Delian http://mathforum.org/~sarah/HTMLthreads/geopre.descriptions.html

From the Geometry Forum Newsgroup Archives geometry.pre-college - brief descriptions About newsgroups Search newsgroups All geometry newsgroups [Switch to the Outline Version] ... Probability Problem: Broken Sticks (Archie Benton) 11/29/96 An 8-foot stick and a 22-foot stick are both randomly broken into two parts. What is the probability that the longer part of the 8-foot stick is longer than the shorter part of the 22-foot stick? Software and Hardware Advice (Carol Hattan) 11/07/96 Seeking advice on software and hardware for a high school math/science/technology lab. Equation of an Ellipse (Harold Stanley) 11/02/96 Can you always find the equation of an ellipse, knowing only two points on the ellipse and assuming that the ellipse is centered at the origin? If it is possible, how do you work it out mathematically? Geometry of Eggs (John A Benson) 10/18/96 Is it true that there is no equation, or system of equations, to describe the shape of an ordinary egg? [supereggs, Piet Hein] Lenart Sphere (Dennis Wallace) 10/16/96 Anyone interested in communicating with students about problems on the Lenart Sphere.? Anyone using it to help teach non-Euclidean geometry at the high school level?

47. Phi It was the Greeks who showed concerted interest in determining the value of p .Hippocrates (c. 440 BC), dinostratus ( c. 350 BC) and Euclid (c. 300 BC) all http://members.tripod.com/~MUJAHID/phi.html

The Story of p By : Wrutheran Sinnadurai Unit Matematik, MPKTBR The number p is the ratio of the circumference of a circle to its diameter. This ratio is the same for all circles and cannot be expressed exactly as a decimal. A practical approximate value for p that is often used is 3.1416 or 3 . Apart from circles, p also appears in problems related to certain surface areas and volumes in solid geometry. However, the use of p is not restricted to geometry alone; many branches of mathematics and physics, such as number theory, statistics, acturial theory, vibrational theory and alternating electric currents, engage the number p The use of the number p goes as far back as around 2000 B.C. The Egyptians used the value of 3.16 in some of their calculations. However the concept of p among the Egyptians was rather vague. In the Old Babylonian period (c. 1800 - 1600 B.C.) the circumference of a circle was found by taking three times its diameter. This gave p a value of 3. The Hebrews, according to biblical accounts used the same value. It was the Greeks who showed concerted interest in determining the value of p . Hippocrates (c. 440 B.C.), Dinostratus ( c. 350 B.C.) and Euclid (c. 300 B.C.) all attempted to find values for

48. Index Of /~history/Mathematicians K Digges.html 20Jan-2003 1752 11K Dilworth.html 20-Jan-2003 1752 14K Dinghas.html20-Jan-2003 1752 12K Dini.html 20-Jan-2003 1752 11K dinostratus.html 20 http://www.gap-system.org/~history/Mathematicians/

Index of /~history/Mathematicians Name Last modified Size Description ... Abbe.html 20-Jan-2003 17:51 8.2K Abel.html 12-Mar-2003 09:36 26K Abraham.html 20-Jan-2003 17:51 9.6K Abraham_Max.html 20-Jan-2003 17:51 8.9K Abu'l-Wafa.html 20-Jan-2003 17:51 13K Abu_Kamil.html 20-Jan-2003 17:51 12K Ackermann.html 20-Jan-2003 17:51 5.0K Adams.html 20-Jan-2003 17:51 9.7K Adams_Frank.html 20-Jan-2003 17:51 10K Adelard.html 20-Jan-2003 17:51 12K Adler.html 20-Jan-2003 17:51 4.9K Adrain.html 20-Jan-2003 17:51 13K Aepinus.html 20-Jan-2003 17:51 11K Agnesi.html 20-Jan-2003 17:51 18K Ahlfors.html 20-Jan-2003 17:51 10K Ahmed.html 20-Jan-2003 17:51 8.5K Ahmes.html 20-Jan-2003 17:51 5.9K Aida.html 20-Jan-2003 17:51 9.0K Aiken.html 20-Jan-2003 17:51 9.2K Airy.html 20-Jan-2003 17:51 22K Aitken.html

49. ENC: Curriculum Resources: A History Of Mathematics (ENC-017351, Full Record) arithmetic and geometry Origin of analysis Eudoxus of Cnidus Method of exhaustionMathematical astronomy Menaechmus Duplication of the cube dinostratus and the http://www.enc.org/resources/records/full/0,1240,017351,00.shtm

Skip Navigation You Are Here ENC Home Curriculum Resources Advanced Search ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. A history of mathematics ENC#: ENC-017351 Edition: Second edition. Publisher: John Wiley and Sons, Inc Date: Ordering Information Grades: 6 7 8 9 10 11 12 Post-secondary Abstract: This text presents a chronological look at the development of mathematics. It starts with the concept of number, which is the foundation of mathematics. The book then describes how each layer of mathematical knowledge was added and how various cultures contributed to the general mathematical knowledge over the centuries. In many instances, the development of a concept took place in more than one geographical location, such as the idea of logarithms. John Napier of Scotland was the first to publish a work on logarithms, but Jobst Burgi of Switzerland developed a similar idea at about the same time. A chronological table, beginning with the origin of the sun and ending with 1980, places important mathematical developments in relation to historical world wide events. Forty pages of references are included. (Author/JAR) User Comments: None currently available.

50. The Dark Side Of The Moon Since the quadrature through Hippias' curve was specifically given laterby dinostratus, we shall describe this work in the next chapter. http://www.fortunecity.com/emachines/e11/86/moon.html

web hosting domain names email addresses related sites Duncan Graham-Rowe Astronomers are taking the search for somewhere quiet to work to new extremes with a plan to put a radio telescope on the far side of the Moon. The advantage of this unusual location is that the Moon would act as a massive shield, protecting the telescope against radio emissions from Earth. Astronomers could also listen to low radio frequencies that don't penetrate the Earth's atmosphere. Claudio Maccone, an astronomer at the Centre for Astrodynamics in Turin, Italy, is assessing the concept for the International Academy of Astronautics. He even has his eye on a plot of lunar real estate. A 100-kilometre-wide crater called Daedalus the Moon . Maccone is due to present the results of his study to the International Astronautical Congress next October. If the plans are approved, the first step will be to design a satellite probe to orbit the Moon and check there really is a quiet zone. Jupiter's giant light show SOMETHING strange is happening on Jupiter. Its magnetic field extends hundreds of times further out into space than previously thought, creating auroras that make the Earth's northern lights seem feeble in comparison. Jupiter is the giant of the Solar System, more than a thousand times as massive as Earth. In January 2001, the combined power of the Cassini and Galileo space probes, the Chandra X-ray telescope and the Hubble Space Telescope were all trained on the Jovian magnetosphere - the region controlled by the planet's magnetic field. Magnetic field lines fan out from a planet like the lines of iron filings from the poles of a bar magnet. Auroras are caused by ions zipping along these lines, so researchers can use the location of auroras to track how far out into space the planet's magnetic field lines can trap ions from the solar wind.

51. Euclid - Introductory Comments By Proclus Amyclas of Heracleia, one of Plato's followers, Menaechmus, a student of Eudoxuswho also was associated with Plato, and his brother dinostratus made the whole http://www.headmap.com/book/mm/people/proclus.htm

Euclid - Introductory Comments by Proclus Proclus's summary Thales, who had travelled to Egypt, was the first to introduce this science into Greece. He made many discoveries himself and taught the principles for many others to his successors, attacking some problems in a general way and others more empirically. Next after him Mamercus, brother of the poet Stesichorus, is remembered as having applied himself to the study of geometry; and Hippias of Elis records that he acquired a reputation in it. Following upon these men, Pythagoras transformed mathematical philosophy into a scheme of liberal education, surveying its principles from the highest downwards and investigating its theorems in an immaterial and intellectual manner. He it was who discovered the doctrine of proportionals and the structure of the cosmic figures. After him Anaxagoras of Clazomenae applied himself to many questions in geometry, and so did Oenopides of Chios, who was a little younger than Anaxagoras. Both these men are mentioned by Plato in the Erastae as having got a reputation in mathematics. Following them Hippocrates of Chios, who invented the method of squaring lunules, and Theodorus of Cyrene became eminent in geometry. For Hippocrates wrote a book on elements, the first of whom we have any record who did so.

52. ON THE NATURE OF ELEMENTS the Academy was written by Theudius of Magnesia, who, with Amyclas of Heraclea, Menaechmusthe pupil of Eudoxus, Menaechmus' brother dinostratus and Athenaeus http://www.headmap.com/book/euclid/before/nature.htm

[p. 114] CHAPTER IX. § 1. ON THE NATURE OF ELEMENTS. It would not be easy to find a more lucid explanation of the terms element and elementary , and of the distinction between them, than is found in Proclus , who is doubtless, here as so often, quoting from Geminus. There are, says Proclus, in the whole of geometry certain leading theorems, bearing to those which follow the relation of a principle, all-pervading, and furnishing proofs of many properties. Such theorems are called by the name of elements ; and their function may be compared to that of the letters of the alphabet in relation to language, letters being indeed called by the same name in Greek (stoicheia). The term elementary , on the other hand, has a wider application: it is applicable to things “which extend to greater multiplicity, and, though possessing simplicity and elegance, have no longer the same dignity as the elements , because their investigation is not of general use in the whole of the science, e.g. the proposition that in triangles the perpendiculars from the angles to the transverse sides meet in a point.” “Again, the term

53. -trices trixes, or trices. NL. (Geom.) A curve made use of in the quadrature ofother curves; as the quadratrix, of dinostratus, or of Tschirnhausen. http://-2dtrices.word.sytes.net/

54. Beet Home Beet Ring Beet Board Whats New Whats Cool Music / Art NL. (Geom.) A curve made use of in the quadrature of other curves;as the quadratrix, of dinostratus or of Tschirnhausen. browse http://www.beetfoundation.com/words/q/quadratrix.html

Beet Home Beet Ring Beet board Whats New ... Contact browse words by letter a b c d ... z or search thesauri dictionary search words quadratrix Advanced Web Development Solutions! ezine/newsletter list management and publishing Consumer Discount Buyers Guide There's a new Mail in town. It's called IncrediMail. Click here to download definition found From Webster's Revised Unabridged Dictionary (1913) [web1913]: Quadratrix curve made use of in the quadrature of other curves ; as the quadratrix , of Dinostratus or of Tschirnhausen browse words by letter a b c d ... z or search thesauri dictionary search words

55. Historical Timeline astronomy). 350 Menaechmus (conics) dinostratus (quadrature with quadratix,brother of Menaechmus); Xenocrates (history of geometry). http://education.wsu.edu/literacy/2000_spring/Preservice/Spring_2000/Corey,Dan,B

Historical Timeline Read through the following timeline and then use the crossword puzzle that is below to help you understand what you have read. There is a lot of good information here and we believe you will enjoy the crossword puzzle. Following is a chronological listing of important events in the history of geometry. For reference some important dates in the history of man are also included. It is estimated that the sun originated 5 trillion years ago, the earth 5 billion years ago, and man about 2 million years ago. - 50000 Evidence of counting. - 25000 Primitive geometric art. - 4700 Possible beginning of Babylonian calendar. - 4228 Hypothetical origin of Egyptian calendar. - 3500 Writing in use; potter's wheel. - 3000 Discovery of bronze; wheeled vehicles in use. - 2900 Great pyramid of Gizeh erected. - 2400 Babylonian tablets of Ur. - 2200 Date of many mathematical tablets found at Nippur. - 1850 Moscow papyrus; oldest extant astronomical instrument. - 1750 Rule of Hammurabi - 1600 Stonehenge in England. - 1350 Phoenician alphabet; iron discovered; date of later mathematical tablets found at Nippur.

56. Geggie - Click To Find More About Geggie spilogal Nyquist verpffen yawakcor Dnytro kubulak runsdown Irrevelant dinostratusUncouchi Faxertise Wishbin Glendwer aestivator Cyphellopsis charcandy Re http://www.pcjournal.ro/index.php?keyword=Geggie

57. áíáæÞôçóç âéâëéïãñáößáò2 Autolycus of Pitane. Democritus. Democritus. Democritus. Democritus. Democritus.dinostratus. dinostratus. Empedocles. Empedocles. Empedocles. Empedocles. Empedocles. http://www.oncology.gr/1/epistimesarchaia2.HTM

Aristotle Aristotle Aristotle Aristotle Aristotle ... Works by Aristotle Autolycus of Pitane Autolycus of Pitane Autolycus of Pitane Democritus Democritus Democritus Democritus Democritus Dinostratus Dinostratus Empedocles Empedocles Empedocles Empedocles Empedocles ... Empedocles- Fragments and Commentary Eratosthenes Eratosthenes Eratosthenes Eratosthenes Eratosthenes ... Eratosthenes Euclid Euclid Euclid Euclid Euclid ... Euclid, Elements Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus Eudoxus of Cnidus ... Eudoxus of Cnidus-Homocentric Spheres Gorgias Gorgias Gorgias Gorgias Gorgias by Plato Heraclides of Pontus Heraclides of Pontus Heraclides of Pontus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus Heraclitus of Ephesus ... Heraclitus of Ephesus var MenuLinkedBy='AllWebMenus [2]', awmBN='494'; awmAltUrl='';

58. Áëëåò ÅðéóôÞìåò óôçí Áñ÷áßá ÅëëÜäá Aristarchus. Aristeus the Elder. Aristotle. Autolycus of Pitane. Democritus.dinostratus. Empedocles. Eratosthenes. Euclid. Eudoxus of Cnidus. Gorgias. http://www.oncology.gr/1/1500ab.htm

Other Sciences in Ancient Greece An ancient Greek Computer Ancient Greek Astronomy Ancient Greek Mathematics Ancient Greek Mathematics ... Zeno of Elea

59. ThinkQuest Library Of Entries dinostratus, his brother, succeeded in using Hippias’ quadratrix to “square”the circle; that is, to construct a square equal in area to a circle. http://library.thinkquest.org/C0122667/greece/maths.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, The Gift of Prometheus , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to The Gift of Prometheus click here Back to the Previous Page The Site you have Requested ... The Gift of Prometheus click here to view this site A ThinkQuest Internet Challenge 2001 Entry Click image for the Site Site Desciption Students Jayson Victoria Junior College Singapore Wei-Ern Victoria Institution Malaysia Durgesh The Woodlands Canada Coaches Soong-Chee Victoria Junior College Singapore Ming Chun Samuel Tanjong Katong Secondary School Singapore Abiola University of Richmond Nigeria

60. Rabbit.eng.miami.edu/class/dict/Q.txt quadratrix n. A curve made use of in the quadrature of other curves; asthe quadratrix, of dinostratus, or of Tschirnhausen. + quadricipital http://rabbit.eng.miami.edu/class/dict/Q.txt

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