Geometry.Net - Scientists: Apollonius Of Perga

History Of Mathematics: Greece
Chrysippus (280206); Conon of Samos (c. 245); apollonius of perga (c. 260-c.185); Nicomedes (c. 240?); Dositheus of Alexandria (fl. c. 230); Perseus (fl.
http://aleph0.clarku.edu/~djoyce/mathhist/greece.html
Apollonius: Introduction
apollonius of perga. Introduction a unified theory of conics. Theonly major work of Greek geometry to survive in written form that
http://cerebro.cs.xu.edu/math/math147/02f/apollonius/apollointro.html

Extractions: The only major work of Greek geometry to survive in written form that studies the conic sections in detail is the Conics of Apollonius of Perga (262? - 190?BCE). Even so, it survives only partially. We have at present only the first seven of the eight books that Apollonius wrote. As we have seen, the conics were used by Menaechmus in dealing with the problem of the duplication of the cube in around 350BC, and we have references in other works to treatises on the conics written by Aristaeus , a contemporary of Menaechmus, and by Euclid, but these are now lost. In any event, the work by Apollonius was extremely well-received by geometers of the ancient world, so much so that it seems to have displaced all other writings in the subject. As Carl Boyer, a noted historian of mathematics, puts it, "If survival is a measure of quality, the Elements of Euclid and the Conics of Apollonius were clearly the best works in their field."
Re: Apollonius's Conics By Antreas P. Hatzipolakis
Are there more complete others? Thanks. apollonius of perga (Densmore, Dana(ed.); Donahue, William H.; Flaumenhaft, Harvey) Conics. Books IIII.
http://mathforum.org/epigone/geometry-college/senchehbrang/v01540b00b60b64c11dc4
Sir Thomas Little Heath
Just click on the books below or their links to go to Amazon's relevantpages. apollonius of perga Sir Thomas Little Heath Published 1896.
http://dspace.dial.pipex.com/ashtead.parish/people/tlh.htm

Extractions: Sir Thomas Little Heath Sir Thomas Little Heath , 5 Oct 1861, Barnetby le Wold, Lincoln, England - 16 March 1940, Ashtead Source: Concise Dictionary of National Biography English mathematical historian who specialized in ancient Greece. His History of Greek Mathematics 1921 is regarded as the standard work on the subject in the English language. KCB 1909. Heath was born in Lincolnshire, studied at Cambridge and joined the civil service. He rose through the ranks in the Treasury Office; in 1913 he was appointed joint permanent secretary to the Treasury and auditor of the Civil List, and he was comptroller general and secretary to the Commissioners for the Reduction of the National Debt 1919-26. Between 1885 and 1912, Heath edited the works of Greek mathematicians
A/AP A PRIORI APACHE APALACHEE APALACHICOLA APAMEA APARRI APATITE
OF CARYSTUS APOLLODORUS OF DAMASCUS APOLLONIA APOLLONIUS (THE EFFEMINATE) APOLLONIUS(THE SURLY OR CRABBED) APOLLONIUS MOLON apollonius of perga APOLLONIUS OF
http://1911encyclopedia.org/A/AP/
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apollonius of perga.htm html title apollonius of perga /title pre Apolloniusof Perga Apollonius was a great mathematician, known by his contempories as
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Ulearn Today - Magazine
apollonius of perga (c. 262 190 BC). Apollonius, along with mathematics.Apollonius was born in Perga (now in Antalya, Turkey). As a
http://www.ulearntoday.com/magazine/physics_article1.jsp?FILE=apollonius
Historical View Of The Conic Sections
apollonius of perga, one of the greatest Greek mathematicians of the time (circa200 BC), appears to have been the first to have rigorously studied the conic
http://www.krellinst.org/UCES/archive/resources/conics/node5.html

Extractions: Up: Section 1. General Overview ... Section 1. General Overview In this hypertext, we consider the conic sections , which have been studied for over 2000 years. Many people have contributed to this study, and many historical references and texts exist to document this study. Apollonius of Perga, one of the greatest Greek mathematicians of the time (circa 200 B.C.), appears to have been the first to have rigorously studied the conic sections. He applied his work to his study of planetary motion and used this to aid in the development of Greek astronomy. (Recall that Perga was one of the cities visited by the apostle Paul during his first missionary journey as recorded in Acts 13:13. Paul would have been in Perga less than 300 years after Apollonius' development of the topic of conic sections.) More information on Apollonius, as well as many other mathematicians, is held at the MacTutor History of Mathematics Archive at the University of St. Andrews. You may view pages dealing with Apollonius,
Unguru Sabetai, Cohn Institute
Books 1. apollonius of perga's Conica Text, Context, Subtext by Michael N.FriedSabetai Unguru 2. Witelonis Perspectivae Liber Primus Book I of Vitelo's
http://www.tau.ac.il/humanities/cohn/staff/unguru-sabetai.html
Wilson Stothers' Inversive Geometry And CabriJava Pages
apollonius of perga is best remembered for his work on conics (he is responsiblefor the names parabola, ellipse and hyperbola), but he also investigated other
http://www.maths.gla.ac.uk/~wws/cabripages/inversive/newapollonius.html
Wilson Stothers' Inversive Geometry And CabriJava Pages
The object of these pages is to introduce inversive geometry. Many ofthe results and ideas are Greek, largely due to apollonius of perga
http://www.maths.gla.ac.uk/~wws/cabripages/inversive/inversive0.html
Apollonius' Tangency Problem
apollonius of perga (born circa 261 BC) subsequently generalized this by showinghow to find a circle tangent to three objects in the plane, where the objects
http://www.mathpages.com/home/kmath113.htm

Extractions: Polynomials For Sums of Square Roots , an equation of this form, when cleared of radicals, leads to the polynomial [(K - s1)^2 - 4 s2]^2 - 64 K s3 = (2) where s1=a+b+c, s2=ab+ac+bc, and s3=abc. Since each of a,b,c is a polynomial in the unknown quantity r of degree 2, the resulting polynomial is of degree 8, and it is extremely laborious to actually generate this polynomial, let alone solve it. For example, consider the case of three circles whose centers are separated by distances of 32, 26, and 29 units, and whose radii are 4, 6, and 7 units (opposite the edges, respectively) as shown below. Return to MathPages Main Menu
The Helenistic Period Of Greek Mathematics
He also made other trigonometic estimates without trigonometry.ARCHIMEDES. apollonius of perga (ca 262 BC 190 BC). Apollonius
http://www.math.tamu.edu/~don.allen/history/helnistc/helnistc.html

Extractions: (ca. 310-230 BC) He was very knowledgeable in all sciences, especially astronomy and mathematics. He discovered an improved sundial, with a concave hemispherical circle. He was the first to formulate the Copernican hypotheses and is sometimes called the Ancient Copernican He countered the nonparallax objection by asserting that the stars to be so far distant that parallax was not measurable. Wrote On the Sizes and Distances of the Sun and Moon . In it he observed that when the moon is half full, the angle between the lines of sight to the sun and the moon is less than a right angle by 1/30 of a quadrant. From this he concluded that the distance from the earth to the sun is more than 18 but less than 20 times the distance from the earth to the moon. (Actual ). Without trigonometry he was aware of and used the fact that He also made other trigonometic estimates without trigonometry. ARCHIMEDES Apollonius of Perga (ca 262 BC - 190 BC) Apollonius was born in Perga in Pamphilia (now Turkey), but was possibly educated in Alexandria where he spent some time teaching. Very little is known of his life. He seems to have felt himself a rival of Archimedes. In any event he worked on similar problems. He was known as the ``great geometer" because of his work on conics.
Binghamton Univ. Libraries: Remote Storage Q And A
Title The thirteen books of Euclid's elements ; The works of Archimedes, includingThe Methods ; On conic sections / by apollonius of perga ; Introduction to
http://library.lib.binghamton.edu/webdocs/storage.html

Extractions: Rogers Warehouse Building (BU Libraries storage entrance at right) What is the Remote Storage Facility? Where is the Remote Storage Facility? The facility is located 10 miles from the Binghamton University campus in the Rogers Warehouse Building, Broome Corporate Parkway in Conklin, NY. Initial Shelving Installation at Storage Facility
Apollonius
apollonius of perga. Born about 262 BC in Perga about 190 BC in Alexandria,Egypt. apollonius of perga was known as 'The Great Geometer'.
http://homepages.compuserve.de/thweidenfeller/mathematiker/Apollonius.htm

Extractions: Died: about 190 BC in Alexandria, Egypt Apollonius of Perga was known as 'The Great Geometer'. Little is known of his life but his works have had a very great influence on the development of mathematics, in particular his famous book Conics introduced terms which are familiar to us today such as parabola , ellipse and hyperbola Apollonius of Perga should not be confused with other Greek scholars called Apollonius, for it was a common name. In [1] details of others with the name of Apollonius are given: Apollonius of Rhodes, born about 295 BC, a Greek poet and grammarian, a pupil of Callimachus who was a teacher of Eratosthenes ; Apollonius of Tralles, 2nd century BC, a Greek sculptor; Apollonius the Athenian, 1st century BC, a sculptor; Apollonius of Tyana, 1st century AD, a member of the society founded by Pythagoras; Apollonius Dyscolus, 2nd century AD, a Greek grammarian who was reputedly the founder of the systematic study of grammar; and Apollonius of Tyre who is a literary character. The mathematician Apollonius was born in Perga, Pamphylia which today is known as Murtina, or Murtana and is now in Antalya, Turkey. Perga was a centre of culture at this time and it was the place of worship of Queen Artemis, a nature goddess. When he was a young man Apollonius went to Alexandria where he studied under the followers of Euclid
The Alexandria Effect
knowledge. Eratosthenes, apollonius of perga, Archimedes, Euclid, andPtolemy are among the scholars that graced this Pierian place.
http://www.uea.ac.uk/~j013/wipout/essays/1031sammartino.htm

Extractions: Ryan T. Sammartino The Library of Alexandria was the ultimate repository of human knowledge in the ancient world. It was the one central place to go for knowledge on any subject, from mathematics to astronomy to philosophy. Having such a central repository proved to be very beneficial for a very long time: if you needed to know anything, Alexandria was the place to go. The huge store of knowledge also served as a jumping off point for even more knowledge, and the library snowballed in this way towards an ever increasing richness and diversity of knowledge. Eratosthenes, Apollonius of Perga, Archimedes, Euclid, and Ptolemy are among the scholars that graced this Pierian place. Unfortunately, having most of all human knowledge in one central place turned out to be disastrous. In the fourth century CE, under the Christian Patriarch Cyril, the library was looted and torched. Seven centuries of human knowledge was lost in one fell swoop; much of the knowledge contained in the volumes at the Library would not be rediscovered for up to 1500 years later. At the beginning of the 21st century CE the beginnings of a new Library began to take shape. The Internet fast became a massive store of knowledge, personal musings, pornography, mundane business dealings, and a host of other documents, the collective writings of millions of people. Off-line, people began writing books and
Resources For Study And Research - Integral Liberal Arts - Apollonius Of Perga
Saint Mary's College Library, Integral Liberal Arts. apollonius of perga.(fl. 250 BC 195 BC). Conic Sections c.220 bc Additional Texts
http://gaelnet.stmarys-ca.edu/study/integral/docs/apollo/
Prolegomena Mathematica: From Apollonius Of Perga To Late Neoplatonism: With An
Prolegomena Mathematica From apollonius of perga to Late NeoplatonismWith an Appendix Buy Prolegomena Mathematica From
http://www.computerhelpbooks.com/m/Mathematica/Prolegomena_Mathematica_From_Apol
Apollonius
apollonius of perga. apollonius of perga studied in Alexandria and he then visitedPergamum where a university and library similar to Alexandria had been built.
http://sfabel.tripod.com/mathematik/database/Apollonius.html

Extractions: Previous (Alphabetically) Next Welcome page Apollonius was known as 'The Great Geometer'. His famous book Conics introduced the terms parabola, ellipse and hyperbola. Apollonius of Perga studied in Alexandria and he then visited Pergamum where a university and library similar to Alexandria had been built. While Apollonius, 'The Great Geometer', was at Pergamum he wrote the first edition of his famous book Conics . In Conics Apollonius introduced for the first time the terms parabola, ellipse and hyperbola which we use so frequently today. Conics consists of 8 books. Books 1 to 4 do not contain original material but introduce basic properties of conics that were known to Euclid Aristaeus and others. Books 5 to 7 are highly original. In these he discusses normals to conics and shows how many can be drawn from a point. He gives propositions determining the centre of curvature which lead immediately to the Cartesian equation of the evolute. Most of his other work is lost. In fact Book 8 of
BMCR-L: BMCR 2002.09.34 Fried & Unguru, Apollonius Of Perga's Conica:
BMCR 2002.09.34 Fried Unguru, apollonius of perga's Conica
http://omega.cohums.ohio-state.edu:8080/hyper-lists/bmcr-l/2002/0308.html

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