Extractions: Nigel Phillips VIVIANI, Vincenzo. De Locis Solidis Secunda Divinatio Geometrica in quinque libros iniuria temporum amissos Aristaei Senioris Geometrae... Opus Conicum continens elementa tractatuum ejusdem Viviani... Florentiae: Typis Regiae Celsistudinis apud Petrum Antonium Brigonci, [1701]. Folio, 12 leaves, pp. 164, 128, 3 engraved plates (two double-page). Half-title, numerous woodcut diagrams in the text. Short (3 cm.) tear in lower margin of K2, very small stain in lower corner of last leaves, a few leaves slightly foxed, but a very clean copy. Contemporary limp vellum, lower corners neatly repaired, a few holes in the vellum of the lower cover, upper inner hinge becoming loose. This item is listed on Bibliopoly by Nigel Phillips ; click here for further details.
Biography-center - Letter A www.pixiport.com/bioarieh.htm. aristaeus the elder, www-history.mcs.st-and.ac.uk/~history/ Mathematicians history/biographies/arvirag.html. Aryabhata the Elder, www-history.mcs.st-and http://www.biography-center.com/a.html
Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 602 biographies Aachen, Hans von
Kepler's Model author of the work sometimes known as "Euclid Book XIV". Apparently this result is due to aristaeus the elder, ca 320 http://www.visual-kepler.org/model/description/description.html
Extractions: To Kepler, the six planets (Copernican paradigm) orbited crystalline spheres. The thickness of a sphere was the minimum to contain the elliptical orbit of its planet. The five gaps between these six concentric spheres were spaced by the Platonic solids. The cube and the octahedron, having the same harmonic ratio, might be interchanged. Ditto the dodecahedron and icosahedron. However, Kepler argued that the order listed above was the correct order. The sympathy of the cube and octahedron (that is, sharing the same harmonic ratio) is elementary. The sympathy of the dodecahedron and icosahedron is not elementary, but will be familiar to students of Euclid (are there any still alive?) as the second proposition of Hypsicles, author of the work sometimes known as "Euclid Book XIV". Apparently this result is due to Aristaeus the Elder, ca 320 BCE, in his work, Comparison of the five regular solids.
History Of Mathematics: Chronology Of Mathematicians c. 350) *SB; Speusippus (d. 339); Aristotle (384322) *SB *MT; aristaeus the elder(fl. c. 350-330) *SB *MT; Eudemus of Rhodes (the Peripatetic) (fl. c. 335) *SB http://aleph0.clarku.edu/~djoyce/mathhist/chronology.html
Extractions: 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 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 Ahmes (c. 1650 B.C.E.) *MT Baudhayana (c. 700) 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) 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
Conic Sections In Ancient Greece Appendix B. Approximate Time line of Major Figures. 350 BC Menaechmus 310 BCaristaeus the elder 300 BC Euclid 287212 BC Archimedes 262-? BC Apollonius http://www.math.rutgers.edu/~cherlin/History/Papers1999/schmarge.html
Extractions: The knowledge of conic sections can be traced back to Ancient Greece. Menaechmus is credited with the discovery of conic sections around the years 360-350 B.C.; it is reported that he used them in his two solutions to the problem of "doubling the cube". Following the work of Menaechmus, these curves were investigated by Aristaeus and of Euclid. The next major contribution to the growth of conic section theory was made by the great Archimedes. Though he obtained many theorems concerning the conics, it does not appear that he published any work devoted solely to them. Apollonius, on the other hand, is known as the "Great Geometer" on the basis of his text Conic Sections , an eight-"book" (or in modern terms, "chapter") series on the subject. The first four books have come down to us in the original Ancient Greek, but books V-VII are known only from an Arabic translation, while the eighth book has been lost entirely. In the years following Apollonius the Greek geometric tradition started to decline, though there were developments in astronomy, trigonometry, and algebra (Eves, 1990, p. 182). Pappus, who lived about 300 A.D., furthered the study of conic sections somewhat in minor ways. After Pappus, however, conic sections were nearly forgotten for 12 centuries. It was not until the sixteenth century, in part as a consequence of the invention of printing and the resulting dissemination of Apollonius' work, that any significant progress in the theory or applications of conic sections occurred; but when it did occur, in the work of Kepler, it was as part of one of the major advances in the history of science.
Aristaeus aristaeus the elder. Born about 370 BC in Greece Died about 300 BC. Aristaeusthe Elder was probably older than, but still a contemporary of, Euclid. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Aristaeus.html
Extractions: Aristaeus the Elder was probably older than, but still a contemporary of, Euclid . We know practically nothing of his life except that Pappus refers to him as Aristaeus the Elder which presumably means that Pappus was aware of another later mathematician also named Aristaeus. We have no record of such a person but we do point out below a possible confusion which may result from there being two mathematicians called Aristaeus. Pappus gave Aristaeus great credit for a work entitled Five Books concerning Solid Loci which was used by Pappus but has now been lost. 'Solid loci' is the Greek name for conic sections so it is rather confusing that there is another reference by a later writer to a work by Aristaeus called Five Books concerning Conic Sections . However these two works are now thought to be the same. Pappus describes the work as:- ... five books of Solid Loci connected with the conics. and also claims (if this is not a latter addition to the text) that Euclid compiled elementary results on conics in his treatise Conics while Aristaeus's results, much deeper, original and specialised, were not included by
Aristaeus Biography of Aristaeus (370BC300BC) aristaeus the elder. Born about 370 BC in Greece aristaeus the elder was probably older than, but still a contemporary of, Euclid http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Aristaeus.html
Extractions: Aristaeus the Elder was probably older than, but still a contemporary of, Euclid . We know practically nothing of his life except that Pappus refers to him as Aristaeus the Elder which presumably means that Pappus was aware of another later mathematician also named Aristaeus. We have no record of such a person but we do point out below a possible confusion which may result from there being two mathematicians called Aristaeus. Pappus gave Aristaeus great credit for a work entitled Five Books concerning Solid Loci which was used by Pappus but has now been lost. 'Solid loci' is the Greek name for conic sections so it is rather confusing that there is another reference by a later writer to a work by Aristaeus called Five Books concerning Conic Sections . However these two works are now thought to be the same. Pappus describes the work as:- ... five books of Solid Loci connected with the conics. and also claims (if this is not a latter addition to the text) that Euclid compiled elementary results on conics in his treatise Conics while Aristaeus's results, much deeper, original and specialised, were not included by
Search Results For Dispute* Aristaeus Heath s opinion that the Aristaeus referred to by Hypsicles this isaristaeus the elder has been disputed by some historians, and there is a http://www-gap.dcs.st-and.ac.uk/~history/Search/historysearch.cgi?SUGGESTION=dis
TMTh:: ARISTAEUS THE ELDER MATHEMATICIAN. aristaeus the elder (fl. c. 320 BC) Life Aristaeus wasa native of Croton, a Greek colony in southern Italy. He succeeded http://www.tmth.edu.gr/en/aet/1/15.html
Aristaeus aristaeus the elder. Born about 360 BC in GreeceDied about 300 BC. Show birthplace location http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/rsts.htm
Extractions: Previous (Alphabetically) Next Welcome page Aristaeus was a contemporary of Euclid and Euclid gave him great credit for a work Solid Loci , the Greek name for conics, which is now lost. The work of both Aristaeus and Euclid on conics was, almost 200 years later, further developed by Apollonius References (2 books/articles) Previous (Chronologically) Next Biographies Index
References For Aristaeus References for aristaeus the elder. Biography in Dictionary of ScientificBiography (New York 19701990). Books JL Coolidge, A history http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZ772B.htm
ThinkQuest : Library : A Taste Of Mathematic Thymaridas (c. 350); Dinostratus (c. 350); Speusippus (d. 339); Aristotle(384322); aristaeus the elder (fl. c. 350-330); Eudemus of http://library.thinkquest.org/C006364/ENGLISH/history/historygreece.htm
Extractions: Index Math Welcome to A Taste of Mathematics.You will find the taste of mathematics here.The history of Mathematics,famous mathematicians,cxciting knowledge,the world difficult problems and also mathematics in our life... Browsing,thinking,enjoying,and have a good time here! Visit Site 2000 ThinkQuest Internet Challenge Languages English Chinese Students fangfei Beijing No.4 High School, Beijing, China ziyan Beijing No.4 High School, Beijing, China Coaches Tife Zesps3 Szks3 Ogslnokszta3c9cych Numer 1, Beijing, China xueshun Beijing No.4 High School, Beijing, China 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. Privacy Policy
History Of Mathematics: Greece Aristotle (384322) aristaeus the elder (fl. c. 350-330 http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
Section One Chapter Four The Republicv. Hippopodej. Quadriviumw. Menaechmusk. Ideal Formsx. Conic Sectionsl. Platonic Solidsy. aristaeus the elder http://ivihsm.cua.edu/teaching_guide/20001129_Section_One_Chapter_Four.pdf
Full Alphabetical Index Translate this page Arbuthnot, John (251*) Archimedes of Syracuse (3190*) Archytas of Tarentum (1366*)Arf, Cahit (1452*) Argand, Jean (81) aristaeus the elder (588) Aristarchus http://alas.matf.bg.ac.yu/~mm97106/math/alphalist.htm
À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Argand Born 18 July 1768 in Geneva, Switzerland Died 13 Aug 1822 in Paris, FranceAristaeus, aristaeus the elder Born about 360 BC in Greece Died about 300 http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=A
Pappus Of Alexandria, (fl. C. 300-c. 350) Among many others he mentions aristaeus the elder, Carpus of Antioch, Conon of Samos, Demetrius of Alexandria http://www.math.tamu.edu/~dallen/masters/Greek/pappus.pdf
8th Grade Aristotle (384322) *SB *MT ·. aristaeus the elder (fl. c http://mslombardo.freehosting.net/catalog.html
Dictionary Of The History Of Ideas of Pappus who attributes the elaboration of two methods to the work of Euclid,Apollonius of Perga, and aristaeus the elder (MR Cohen and IE Drabkin, pp. http://etext.lib.virginia.edu/cgi-local/DHI/dhi.cgi?id=dv3-48
Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ Arbuthnot, John (251*) Archimedes of Syracuse (3190*) Archytas of Tarentum (1366*)Arf, Cahit (1452*) Argand, Jean (951) aristaeus the elder (588) Aristarchus http://www.newturk.net/index111.html
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