CUBE Thus Nicomedes invented the conchoid (qv); Diodes the cissoid (qv); dinostratus studiedthe quadratrix invented by Hippias; all these curves furnished solutions http://82.1911encyclopedia.org/C/CU/CUBE.htm
Extractions: CUBE All these solutions were condemned by Plato on the ground that they were mechanical and not geometrical, i.e. they were not effected by means of circles and lines. However, no proper geometrical solution, in Platos sense, was obtained; in fact it is now generally agreed that, with such a restriction, the problem is insoluble. The pursuit of mechanical methods furnished a stimulus to the study of mechanical loci, for example. the locus of a point carried on a rod which is caused to move according to a definite rule. Thus Nicomedes invented the conchoid (q.v.); Diodes the cissoid (q.v.); Dinostratus studied the quadratrix invented by Hippias; all these curves furnished solutions, as is also the case with the trisectrix, a special form, of Pascals limaon (q.v.). These problems were also attacked by the Arabian mathematicians; Tobit ben Korra (836901) is credited with a solution, while Abul Gud solved it by means of a parabola and an equilateral hyperbola. In algebra, the cube of a quantity is the quantity multiplied by itself twice, i.e. if abe the quantity aXaXa(=af) is its cube. Similarly the cube root of a quantity is another quantity which when multiplied by itself twice gives the original quantity; thus ai is the cube root of a (see ARITHMETIC and ALGEBRA). A cubic equation is one in which the highest power of the unknown is the cube (see EQUATION); similarly, a cubic curve has an equation containing no term of a power higher than the third, the powers of a compound term being added together.
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
Extractions: web hosting domain names email addresses 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.
P Begin File 17 Of 26 Letter Q (Version 0.43) This File Is plu ety NL. /ety fld (Geom.) /fld def A curve made use of in the quadratureof other curves; as as the ex quadratrix /ex , of dinostratus, or of http://wuarchive.wustl.edu/mirrors/gnu/gcide/dictionary-0.43/uncompressed/cide.q
Extractions: Q. 1913 Webster Q (k the seventeenth letter of the English alphabet, has but one sound (that of k ), 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 cw being used instead of qu ; as in cwic , quick; cwen , queen. The name (k ku , which is from the Latin name of the same letter; its form is from the Latin, which derived it, through a Greek alphabet, from the Ph 1913 Webster Etymologically, q or qu is most nearly related to a ( ch tch p q , and wh ; as in cud, quid , L. equ us, e c us, horse, Gr. 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. 1913 Webster Qua conj. [L., abl. of qui who.] In so far as; in the capacity or character of; as. 1913 Webster It is with Shelley's biographers qua biographers that we have to deal. London Spectator. 1913 Webster 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.
Fifth Century Greece By Thor Carden 351. Demosthenes orates 1st of Philippics, speachs against Philip II.350. dinostratus squares the circle. 350. Wheat imported from Egypt. 342. http://www.tcarden.com/coursework/greece.htm
Extractions: Greece in the 5 th Century BC Three of the larger assignments completed by Thor Carden in the Fall of 1995 Antigone and Ismene at Colonus and Thebes The Armor Of Achilles Chronology of Ancient Greek History October 12, 1995 Dr. Race, Antigone and in Oedipus at Colonus . I want to find some quotes or actions that support that their characters were the same in both and some that support that they were different. (if possible) Hopefully I will be able to reach some kind of conclusion once I have studied it in more detail. If it turns out to be too much I will just concentrate on Antigone. If it turns out to be too little I'll add a look at their relationship in the two plays. Lonu means knee. It might be that Antigone means "against kneeling" or "not willing to give in." Iso s means "equal" and men means "certainly" but I have no idea whether it would be appropriate to stick them together to make "certainly equal" or something. Menuo means "to make known." That word seems to have more to do with Ismene's character. Being ignorant of Greek I can only speculate, but it is interesting. I may find a more appropriate lexicon if I get time and see if I can dig it out. Thor Carden Antigone and Ismene at Colonus and Thebes By Thor F. Carden
Dictionary Definition Of QUADRATRIX geometry A curve made use of in the quadrature of other curves; as the quadratrix,of dinostratus, or of Tschirnhausen. Source Websters Dictionary. http://www.dictionarybarn.com/QUADRATRIX.php
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
Extractions: 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
Dictionary.com/-trixes trixes, or trices. NL. (Geom.) A curve made use of in the quadrature ofother curves; as the quadratrix, of dinostratus, or of Tschirnhausen. http://dictionary.reference.com/search?q=-trixes
Extractions: The HSBA is a 5,000 member organization that represents all attorneys licensed to practice in the state of Hawaii. Its mission is "to unite and inspire Hawaii's lawyers to promote justice, serve the public, and improve the legal profession." In addition to fulfilling various administrative and financial functions on behalf of the Supreme Court, the HSBA and its hundreds of attorney volunteers execute numerous projects for the benefit of its members and the public.
ARTFL Project Webster Dictionary, 1913 NL. (Geom.) A curve made use of in the quadrature of other curves;as the quadratrix , of dinostratus, or of Tschirnhausen . Quadrature. http://machaut.uchicago.edu/cgi-bin/WEBSTER.page.sh?PAGE=1171
Geometry Is Part Of Their Lives Juel. Dieudonne, Fano, Girard Pierre, Hippias, Kac. dinostratus, Feigl,Gopel, Hippocrates, Kagan. Dionis, Fermat, Gorenstein, Hironaka, Kendall. http://mathguy.home.texas.net/gp2.htm
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
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
Extractions: 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
Extractions: Skip Navigation You Are Here ENC Home Curriculum Resources Search the Site More Options Classroom Calendar Digital Dozen ENC Focus ... 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. Grades: 6 7 8 9 10 11 12 Post-Sec.
Previous Next Last the three big problems were solved by Menaechmus and dinostratus with conic sections and the quadratrix (a transcendental curve) Yes, and ingenious http://members.tripod.com/~tuning_archive/Mills/html/s___5/msg_4800-4999.html
Extractions: S 5 Previous Next Last Message: 4801 Date: Sat, 15 Feb 1997 06:01:11 Subject: Announcement of concert From: Manuel.Op.de.Coul@xxx.xx (Manuel Op de Coul) Message: 4805 Date: Sun, 16 Feb 1997 05:07:28 Subject: Ockeghem From: Manuel.Op.de.Coul@xxx.xx (Manuel Op de Coul) Message: 4807 Date: Sun, 16 Feb 1997 10:34:08 Subject: DX21 xenharmonics? From: I've just bought myself a second hand DX21, which didn't come with a manual. Does anyone know if it has support for xenharmonic scales and, if so, how to get them to work? While I'm at it, does anyone have other info on it, like how the bulk dumps are formatted? Graham Message: 4826 Date: Tue, 18 Feb 1997 16:34:06 Subject: TUNING IN errors From: Manuel.Op.de.Coul@xxx.xx (Manuel Op de Coul) Message: 4827 Date: Tue, 18 Feb 1997 16:37:09 Subject: Re: Reply to Neil from Paul From: PAULE I wrote, >>" 19 consistently represents the harmonic series only >>through the 9th harmonic (though in your music, you tend to use the >>diatonic, rather than harmonic, dom7th), and 34 consistently represents the >>harmonic series only through the 5th harmonic. " Gary wrote, >I probably ought to let Neil speak for himself, but I suspect that he meant >less specifically than the harmonic series itself, but JI in general. I see no difference here. I could say, "19 consistenly represents 9-limit JI and 34 consistenly represents 5-limit JI," but I didn't want to start the odd vs. prime debate on the definition of "limit" again.
Mathematicians Menaechmus (c. 350) *SB. Theudius of Magnesia (c. 350?). Thymaridas (c. 350).dinostratus (fl. c. 350) *SB. Speusippus (d. 339). Aristotle (384322) *SB *MT. http://www.chill.org/csss/mathcsss/Mathematicians.html
Extractions: List of Mathematicians printed from: http://aleph0.clarku.edu:80/~djoyce/mathhist/mathhist.html 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 Hippias of Elis (fl. c. 425) *SB *mt Theodorus of Cyrene (c. 425) Socrates (469-399) Philolaus of Croton (d. c. 390) *SB Democritus of Abdera (c. 460-370) *SB *mt 400 B.C.E. Hippasus of Metapontum (or of Sybaris or Croton) (c. 400?) Archytas of Tarentum (of Taras) (c. 428-c. 347) *SB *mt Plato (427-347) *SB *MT Theaetetus of Athens (c. 415-c. 369) *mt Leodamas of Thasos (fl. c. 380) *SB
Index Of /~history//Mathematicians K Digges.html 29Apr-2003 1216 12K Dilworth.html 29-Apr-2003 1216 14K Dinghas.html29-Apr-2003 1216 13K Dini.html 29-Apr-2003 1216 12K dinostratus.html 29 http://www.math.csusb.edu/~history/Mathematicians/