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THEODOSIUS OF TRIPOLIS
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See also:THEODOSIUS OF TRIPOLIS , See also:Greek geometer and astronomer, three of whose See also:works were contained in the collection of lesser writings named 6 prKpbs aarpovopobpevos (sc. rb7ros), or 6 pucpos aorpov6 os.' Suidas erroneously identifies him with a sceptical philosopher of the same name who lived in the second See also:half of the and See also:century A.D. or later, but, on the other See also:hand, distinguishes him from a native of Tripolis who wrote a poem on See also:spring. He is doubtless the same as Theodosius the mathematician, who is mentioned by See also:Strabo amongst the natives of See also:Bithynia distinguished for their learning, and whose sons were also mathematicians, the same, too, as the inventor of a universal See also:sun-See also:dial (horologium wpbs arav K)^ipa) of that name who is praised by See also:Vitruvius (De See also:Architecture, ix. 9). His date, there-fore, could not have been later than the 1st century B.c.; he may, however, have lived in the preceding century, inasmuch as the names mentioned by Strabo in the passage referred to above are, as far as we know, arranged chronologically, and Theodosius immediately follows See also:Hipparchus, who made astronomical observations between 161 and 126 B.C., and precedes See also:Asclepiades the physician, who lived at See also:Rome at the beginning of the 1st century B.C. His See also:chief See also:work—oq'aipuch, in three books—is a tolerably See also:complete See also:treatise on the pure See also:geometry of the See also:surface of a See also:sphere, and was still the classical See also:book on the subject in Pappus's See also:time. It does not contain (except for a faint See also:suggestion in III. 11–12) any trace of spherical See also:trigonometry, which, on the other hand, was the See also:special subject of the work having the same See also:title, and included in the same collection, of See also:Menelaus of See also:Alexandria, who lived at the end of the 1st century. A. Nokk (Ueber See also:die Sphdrik See also:des Theodosius; See also:Karlsruhe, 1847), See also:Heiberg (Litterargeschichtliche Studien fiber Euklid, pp. 43 seq.; See also:Leipzig, 1882), and Hultsch (Jahrbiicher See also:fur classische Philologie, 1883, pp. 415–420, and See also:Autolycus; Leipzig, 1885) have proved that as See also:early as the See also:middle of the 4th century B.c. there existed a Greek See also:text-book on Spherics which, in its essential contents, scarcely deviated from the three books of Theodosius. He must therefore be regarded as merely the editor, or at most the elaborator and expounder, of a See also:doctrine which existed some centuries before him. A careful See also:analysis of Theodosius' work, from this point of view, will be found In A. A. Bjornbo's Studien fiber Menelaos Sphdrik (Abhandlungen zur Geschichte der mathematischen Wissenschaften, xiv. ; Teubner, 1902). The Spherics of Theodosius was translated into Arabic at the beginning of the loth century, and from the Arabic into Latin in the 12th century by See also:Plato of See also:Tivoli (Tiburtinus) This See also:translation was published in 1518 at See also:Venice, but was found so faulty by J. Voegelinus that he published a new Latin version, together with additions from the Arabian commentators (See also:Vienna, 1529, 4to) ; other Latin See also:translations were published by F. Maurolycus (See also:Messina, 1558, fol.) ; by C. Clavius (Rome, 1586, 4t0) ; and by See also:Barrow under the title, Theodosii Sphaerica, Methodo Nova Illustrate a Succincte Demonstrata (See also:London, 1675, 4to). The Greek text was first published, and with it a Latin translation, by J. Pena (See also:Paris, 1558, 4to); it has been edited since by See also:Joseph See also:Hunt (See also:Oxford, 1707), and by E. Nizze (See also:Berlin, 1852), but these two See also:editions are founded on that of Pena. There is also a See also:German translation by Nizze (See also:Stralsund, 1826). His two editions are accompanied with valuable notes and an appendix containing additions from Voegelinus and others. The two other works of Theodosius which have come down to us have not as yet been published in the See also:original. The propositions, without demonstrations, in the work 7repi $pepwv Kai vUKTi;v (On Days and Nights), in two books, were given by Dasypodius, in Greek and Latin, in his Sphaericae Doctrtinae Propositiones (Strasburg, 1572, 8vo). A Latin version of the complete work, with See also:ancient scholia and figures, was given by Joseph Auria (Rome, 1591, 4to). Pappus has given a See also:pretty full commentary on the I This collection contained, according to See also:Fabricius, Bibliotheca Graeca, ed. Harles, iv. p. 16, the following books:—" Theodosii Tripolitae, Sphaericorum, libri iii.; Euclidis, Data, Optica, Catoptrica, ac Phaenomena; Theodosii Tripolitae, De Habitationibus et Noctibus ac Diebus, libri ii.; Autolyci Pitanaei, De Sphaera Moto, et libri ii. De Ortu aique Occasu Stellarum Inerrantium ; Aristarchi Samii, De Magnitudinibus ac Distantiis See also:Solis ac Lunae; Hypsiclis Alexandrine, 'Asa4opuc6s sive De Ascensionibus; Menelai, Sphaericorum, libri iii." See also:Euclid's Data is, however, wrongly included, for Pappus, vu., makes it See also:part of analysis (b bvaAUbpevos rbrios). 772 first book of this work of Theodosius. His work repl oiic, oewv (On Habitations) also was published by Auria (Rome, 1588). It gives an See also:account of how, for every inhabitant of the See also:earth from the See also:equator to the See also:pole, the starry See also:firmament presents itself in the course of a See also:year. The propositions in it were also given by Dasypodius in his work mentioned above. (T. L. Additional information and CommentsThere are no comments yet for this article.
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