TMTh:: ARISTAEUS THE ELDER Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ARTISTS ASTRONOMERS BIOLOGISTS BOTANISTS CHEMISTS ENGINEERS GEOGRAPHERS INVENTORS MATHEMATICIANS METEOROLOGISTS PHARMACOLOGISTS PHYSICIANS PHYSICISTS MATHEMATICIAN aristaeus the elder (fl. c. http://www.tmth.edu.gr/en/aet/1/15.html
TMTh:: Ancient Greek Technologists ADRASTUS OF APHRODISIAS AETHRA OF TROEZEN APOLLONIUS OF PERGA ARATUS OF SOLI ARCHIMEDESOF SYRACUSE ARCHYTAS OF TARENTUM aristaeus the elder ARISTOTLE OF http://www.tmth.edu.gr/en/aet/1.html
Aristaeus Biography of aristaeus the elder (BCBC) aristaeus the elder. Born about 360 BC in Greece http://sfabel.tripod.com/mathematik/database/Aristaeus.html
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
History Of Mathematics: Greece Thymaridas (c. 350); Dinostratus (c. 350); Speusippus (d. 339); Aristotle(384322); aristaeus the elder (fl. c. 350-330); Eudemus of http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
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 aristaeus the elder. Born about 370 BC in Greece 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
Pappus It is the work of three men, Euclid the writer of the Elements , Apollonius ofPerga and aristaeus the elder, and proceeds by the method of analysis and http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Pappus.html
Extractions: Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry Our knowledge of Pappus's life is almost nil. There appear in the literature one or two references to dates for Pappus's life which must be wrong. There is a reference in the Suda Lexicon (a work of a 10th century Greek lexicographer) which states that Pappus was a contemporary of Theon of Alexandria (see for example [1]):- Pappus, of Alexandria, philosopher, lived about the time of the Emperor Theodosius the Elder AD - AD , when Theon the Philosopher, who wrote the Canon of Ptolemy , also flourished. This would seem convincing but there is a chronological table by Theon of Alexandria which, when being copied, has had inserted next to the name of Diocletian (who ruled 284 AD - 305 AD) "at that time wrote Pappus". Similar insertions give the dates for Ptolemy Hipparchus and other mathematical astronomers.
Virtual Encyclopedia Of Mathematics francois jean arbogast louis francois antoine arbuthnot john archimedes of syracusearchytas of tarentum argand jean robert aristaeus the elder aristarchus of http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html
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://www.maththinking.com/boat/mathematicians.html
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. 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
A Index Argand, Jean (951). aristaeus the elder (588). Aristarchus of Samos (1548) http://www-groups.dcs.st-and.ac.uk/~history/Indexes/A.html
Section One Chapter Four Platonic Solids. y. aristaeus the elder. m. Aristotle http://ivihsm.cua.edu/teaching_guide/20001129_Section_One_Chapter_Four.pdf
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://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
Biography-center - Letter A Arieh, Ben www.pixiport.com/bioarieh.htm; aristaeus the elder, www-history.mcs.st-and.ac.uk/~history/Mathematicians/Aristaeus.html; 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 571 biographies Aachen, Hans von
A Index Arbuthnot, John (251*), Archimedes of Syracuse (3190*) Archytas of Tarentum (1366*)Arf, Cahit (1452*) Argand, Jean (81) aristaeus the elder (588) Aristarchus http://www.math.hcmuns.edu.vn/~algebra/history/history/Indexes/A.html
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/courses/436/436-s99/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.
History Of Mathematics Text It is written by three men Eculid the Elementarist, Apollonius of Perga, andaristaeus the elder, and its approach is by analysis and synthesis . http://www.brown.edu/Facilities/University_Library/exhibits/math/textfr.html
Extractions: Brown University Library possess a copy of each sixteenth-century translation of Euclid's Elements of Geometry into a modern language. These vernacular editions, grouped around the first Latin edition of 1482, are displayed in chronological sequence, from 1533 (Greek) to 1594 (Arabic). All copies are opened at Book I, proposition 47, "Pythagoras' Theorem," which asserts: "In right-angled triangles the square of the side opposite the right angle is equal to the sum of the squares of the sides containing the right angle." Most of the translations provide proof of this equation (a + b = c using a geometrical construction known as "the bride's chair." Euclid's Elements of Geometry has been a primary mathematics text for more than two thousand years. It is a compilation of early Greek mathematical knowledge, synthesized and systematically presented by Euclid in ca. 300 BC. Books I-IV are devoted to plane geometry, Book V deals with the theory of proportions, and Book VI with the similarity of plane figures. Books VII-IX are on number theory, Book X on commensurability and incommensurability, Books XI-XII explore three dimensional geometric objects, and Book XIII deals with the construction of the five regular solids. Later non-Euclidian additions include, Book XIV, which is thought to have been contrbuted by Hypsciles (ca. 200 BC), and Book XV, which may have been added by John of Damascus, or by a 6th-century pupil of Isadoros of Miletos.
Pappus It is the work of three men, Euclid the writer of the Elements, Apollonius ofPerga and aristaeus the elder, and proceeds by the method of analysis and http://myhome.hanafos.com/~daiyongk/mathtest/pappus.files/Pappus.htm
Extractions: Previous (Alphabetically) Next Main index Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry. Our knowledge of Pappus's life is almost nil. There appear in the literature one or two references to dates for Pappus's life which must be wrong. There is a reference in the Suda Lexicon (a work of a 10th century Greek lexicographer) which states that Pappus was a contemporary of Theon of Alexandria (see for example [1]):- Pappus, of Alexandria, philosopher, lived about the time of the Emperor Theodosius the Elder [379 AD - 395 AD], when Theon the Philosopher, who wrote the Canon of Ptolemy , also flourished. This would seem convincing but there is a chronological table by Theon of Alexandria which, when being copied, has had inserted next to the name of Diocletian (who ruled 284 AD - 305 AD) "at that time wrote Pappus". Similar insertions give the dates for Ptolemy Hipparchus and other mathematical astronomers.
OPE-MAT - Historique Translate this page Alberti, Leone Battista Archytas of Tarentum Adrain, Robert Albertus Magnus, SaintArgand, Jean Aepinus, Franz Alcuin of York aristaeus the elder Agnesi, Maria http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm
Extractions: Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl
Kepler's Model Apparently this result is due to aristaeus the elder, ca 320 BCE, in his work,Comparison of the five regular solids. See (Heath, 1960; v.3, p. 438). http://www.visual-kepler.org/model/description/description.html