conjecture is certainly erroneous. (Strabo, | admiration of Apollonius in several pasGeogr. lib. xiv. cap. 6. p. 243. ed. Tauchn; Erotianus, Gloss. Hippocr. p. 6. 10. 86. 198. ed. Franz; Cælius Aurelianus, De Morb. Chron. lib. ii. cap. 4., lib. iii. cap. 4. p. 323. 451. ed. Amman; Littré, Euvres Complètes d'Hippocr. tome i. Introd. p. 93.; Choulant, Handbuch der Bücherkunde für die Aeltere Medicin, Leipzig, 1841, 8vo.; Dietz, Schol. in Hippocr. et Gal. tom. i. Prof.) W. A. G. APOLLO'NIUS, CLAUDIUS, appears, from his name Apollonius, to have been a Greek by birth, who probably took the name Claudius, either from his being born (like Claudius Agathemerus) in one of the cities under the patronage of the Claudia Gens at Rome, or perhaps from having been a freedman to one of the members of that family. He must have lived in or before the first century after Christ, as he was mentioned by Asclepiades Pharmacion, but nothing is known of the events of his life. Galen has preserved one of his medical formulæ, which was intended as a cure for hydrophobia, and also as an antidote to poisons in general, of which the powder of burned crabs appears to have been the most important ingredient. (Galen, De Antid. lib. ii. cap. 11. tom. xiv. p. 168-171. ed. Kühn.) W. A. G. APOLLO'NIUS ('ATOλλvios), surnamed DY'SCOLUS (dúσкoλos), that is the Illtempered or Morose, was a celebrated grammarian of Alexandria who lived in the reigns of Hadrian and Antoninus Pius. Being a native of Alexandria he is sometimes called Alexandrinus; and to distinguish him from Apollonius Rhodius, who was likewise a native of Alexandria, the adjective Minor or the younger, is sometimes added, so that he appears under the name of Apollonius Alexandrinus Minor. His parents Mnesitheus and Ariadne lived at Alexandria, and were so poor that their son was unable to purchase even the most necessary writing materials. It is not improbable that these unfavourable circumstances may have produced in him that disposition to which he owed the surname of Dyscolus. According to his anonymous biographer he lived at Alexandria in the Bruchion (Bpoúxiov, also called Bpúxov or Пuрovxεîov), which some believe to be only another name for the celebrated museum of Alexandria. In the same place he was also buried. His biographer further states that he spent some time at Rome, where he enjoyed great reputation as a writer on grammar and a teacher, and attracted the attention of the emperor Antoninus Pius. But this statement seems to be founded on a confusion of this Apollonius with Apollonius of Chalcis, who is known to have been invited to Rome by Antoninus Pius. Apollonius Dyscolus and his son, Ælius Herodian, who educated by his father, were the most distinguished grammarians of their age. Priscian, who was a competent judge, expresses his was sages; he even calls him the greatest of 27. 68.; Eusebius, Historia Ecclesiast. v. APOLLO'NIUS GLAUCUS, the author APOLLO'NIUS HEROPHILE'US ('Aπоλλúvios ¿ 'Hpopíλeos) lived before Archigenes and Andromachus, (by which latter Пapadocóypapoi (p. 20. &c.). The Apollonius whose work is extant belongs to this class of writers, and his little work has therefore been added to them by Westermann (p. 103 -116.) (Suidas, under 'Aroλλávios; The Greek Life of Apollonius, by an anonymous writer; Fabricius, Biblioth. Græc. vi. 272. &c.) L. S. APOLLO'NIUS ('Aπoλλúvios) of EGYPT. Many persons are mentioned of this name who were natives of Egypt. Some of them are characterised by the names of their native places, such as Alexandria, Memphis, Naucratis, and others, but where no such distinction is mentioned, it is often impossible to identify the persons. One Egyptian Apol-writer he is several times quoted,) and therelonius is mentioned by Theophilus of Antioch, who stated in a work that according to some the age of the world was 15,003,075, and according to others 15,000,375 years. Whether this Egyptian is the same as the Apollonius mentioned by Athenæus as an authority about the symposia among the early Egyptians is uncertain, according to the judgment of Fabricius. Dion Cassius mentions an Egyptian soothsayer Apollonius who predicted the death of the emperor Caligula. (Theophilus, Ad Autolycum, p. 127. 136. 139.; Athenæus, v. 191.; Dion Cassius, lix. 29.; Fabricius, Biblioth. Græc. iv. 272.) L. S. APOLLO'NIUS EMPIRICUS ('ATоλλνιος ὁ Ἐμπειρικός), lived probably in the second century B. C., as Celsus says he was a successor of Serapion of Alexandria, and a predecessor of Heraclides of Tarentum. belonged to the sect of the Empirici, and is very likely the person mentioned in a corrupt passage in the first volume of Cramer's "Anecdota Græca Parisiensia.” He wrote a book in answer to Zeno's first work on the Xaрaктnрes in Hippocrates, which was answered by Zeno, and which, therefore, must not be confounded with the refutation of this second treatise, written after Zeno's death by Apollonius Biblas. Upon the whole, it seems most likely that this Apollonius is one of the persons called Apollonius Antiochenus. (Celsus, De Medic. lib. i. præfat. p. 3. ed. Argent.; Galen, De Meth. Med. lib. ii. cap. 7. tom. x. p. 142.; Id., Comment. II. in Hippocr. "Epid. III." § 5. tom. xvii. pt. i. p. 618. ed. Kühn; Cramer, Anecd. Gr. Paris. vol. i. p. 395. 1. 22.) W. A. G. APOLLO'NIUS ('Aπоλλúvios), said to have been a bishop of EPHESUS in the reigns of Commodus and Septimius Severus, about A.D. 190. He He wrote a work against the Christian sects called Cataphryges and Pepuziani, of which some fragments are preserved in Eusebius. He appears to have also attacked the Montanists, for it is stated that Tertullian defended them against him and Soter, bishop of Rome; and Hieronymus says that the seventh book of Tertullian's work, Пepì 'Eкσтáσews, which is now lost, was directed against Apollonius. (Anonymus, Prædestinatus, 26, fore in or before the first century after Christ. Articulations," which is quoted by Erotianus; another, Пepl Tav 'EKTòs Meрŵv Toû Zμaтos, καὶ τίνες αἱ Ονομασίαι Αὐτῶν, “On the external Parts of the Body, and their Names; and a third called "Opo," Definitions," both quoted by Galen. It is uncertain whether it is from either of these works that two passages are quoted by Cælius Aurelianus; but, besides these, Apollonius seems to have written a work on Materia Medica, which is not now extant, but which seems to have enjoyed some reputation, as it is quoted by Galen, Aëtius, Nicolaus Myrepsus, and the Scholiast to Nicander. (Galen, Definit., Proœm. tom. xix. p. 347. ed. Kühn, De Antid. lib. ii. cap. 14. tom. xiv. p. 188., Introd. cap. 10. tom. xiv. p. 700.; Erotianus, Gloss. Hippocr. in voce "Außny, p. 86. ed. Franzius; Cælius Aurelianus, De Morb. Chron. lib. iii. cap. 8. p. 469., lib. iv. cap. 8. p. 537. ed. Amman Aëtius, De Medic. tetrab. ii. serm. ii. cap. 84. p. 289., serm. iii. cap. 20. p. 307. ed. H. Steph.; Nicolaus Myrepsus, De Compos. Medicam. p. 831. ed. H. Steph.; Scholia in Nicand. p. 28. b., 38. b. ed. Ald.; Gronovius, Thes. Græc. Antiq. vol. iii. lit. 11.) W. A. G. APOLLO'NIUS MOLON. [APOLLONIUS OF ALABANDA.] of the lungs to be the parts affected in pneumonia. (Cælius Aurelianus, De Morb. Acut. lib. ii. cap. 28. p. 139. ed. Amman ; Athenæus, lib. xv. cap. 38. p. 688.; Cramer, Anecd. Gr. Paris. vol. i. p. 395.; Oribasius, Eupor. ad Eunap. lib. i. Proœm. p. 574. ed. H. Steph.; Galen, De Compos. Medicam. sec. Loc. lib. ii. cap. 1. tom. xii. p. 510. 514., lib. v. cap. 5. p. 858., lib. vi. cap. 9. p. 995.) W. A. G. APOLLO'NIUS HIPPOCRATICUS, a pupil of Hippocrates II. (the most celebrated of that name) who must have lived in the fourth century B. C. Nothing more is known of the events of his life. He is said to have been excessively severe with regard to the quantity of drink which he allowed to his patients that were suffering from fever; for, having divided the cyathus into twelve parts, he gave them only two or three of these, which (reckoning the cyathus as containing .0825 of a pint, or rather more than thirteen drachms) would amount to about three or four drachms, or not quite a table spoonful. This gave occasion to Erasistratus to throw the blame on Hippocrates himself, and to accuse him of half killing his patients by starving them. He does not appear to have written any medical works. (Galen, De Opt. APOLLO'NIUS MUS ('Aπоλλúvios ó Mûs), Secta, cap. 14. tom. i. p. 144. ed. Kühn; was a contemporary of Strabo, and therefore Comment. in Hippocr. “De Acut. Morb. Victu," | lived at the close of the first century B. C. lib. i. cap. 24. tom. xv. p. 478., lib. iii. cap. 38. He was a follower of Herophilus, and a felp. 702., lib. iv. cap. 5. p. 744.; De Vena Sect. low-pupil of Heraclides of Erythræ, and adv. Erasist. cap. 9. tom. xi. p. 182.; Littré, therefore, perhaps, a pupil of Chrysermus, Euvres Complètes d'Hippocr. tome i. p. 328. who was one of the tutors to Heraclides. et seq.) W. A. G. Nothing more is known of the events of his APOLLONIUS, LÆVINUS, a geo-life; but it seems probable that he is the grapher and historian, was a native of a village in the neighbourhood of Bruges, and lived during the latter half of the sixteenth century. He called himself sometimes Gandobruganus Middelburgensis. He died in one of the Canary islands while on a voyage to Peru. Apollonius is the author of two works which in their time had a great reputation, and were translated into several languages. They are still indispensable to those who study the history of Peru and Florida. 1. " Libri Quinque de Peruviæ Regionis inter novi Orbis Provincias celeberrimæ Inventione, et Rebus in eadem gestis," Antwerp, 1567, 8vo. 2. De Navigatione Gallorum in Terram Floridam, deque Clade Anno 1565 ab Hispanis accepta," Antwerp, 1568, 8vo. (Andreæ, Bibliotheca Belgica; Swertius, Athena Belgica; Adelung, Supplement to Jöcher, Allgem. Gelehrten Lexic. i. 971.) L. S. APOLLO'NIUS MEMPHITES (ATOλλώνιος ὁ Μεμφίτης) was, as his name implies, a native of Memphis in Egypt, who belonged to the school of Erasistratus, and who, as he is first quoted by Erotianus, must have lived between the third century B. C. and the first century after Christ. He is probably the same person who is called Apollonius Stratonius. He wrote a work Περὶ ̓́Αρθρων, “On the 66 same physician who is sometimes called Apollonius Herophileus. He wrote a long work, "On the Sect founded by Herophilus," Περὶ τῆς Ηροφίλου Αἱρέσεως, of which the twenty-eighth book is quoted by Cælius Aurelianus, on the subject of pleurisy, and the twenty-ninth by Galen, on the subject of the pulse. This is also referred to in a corrupt passage* by Soranus, where, in treating of the question whether or not there are any diseases peculiar to women, he mentions Apollonius Mus together with Herophilus and Erasistratus as holding the negative. He is said by Celsus to have written a work on pharmacy, which is probably the treatise by Apollonius Herophileus, "On Medicines that are easily procured." Perhaps too this may be the work alluded to by Palladius, when he says that he wrote a Dynameron, in which he ordered the same troche for every kind of dysentery. (Cælius Aurelianus, De Morb. Acut. lib. ii. cap. 13. p. 110. ed. Amman; Celsus, De Medic. lib. v. Præf. p. 221. ed. Argent.; Strabo, Geogr. lib. xiv. cap. 1. p. 182. ed. Tauchn; Galen, De Differ. Puls. lib. iv. cap. 10. tom. viii. p. 744. or 746., De Dignosc. Puls. lib. iv. cap. 3. tom. viii. p. 955., * Instead of τρίτῳ τῆς αἱρέσεως, we should read τρίτω Περὶ τῆς Αἱρέσεως, οι τρίτῳ Περὶ τῆς Ηροφίλου Αἱρέσεως. | W. A. G. APOLLO NIUS ORGA'NICUS ('Aπоλλwvios 'Oрyavikós), if the reading be not corrupt, is the author of some medical formulæ quoted by Galen, and must therefore have lived in or before the second century after Christ. Perhaps, however, the work quoted may be the Európiora of Apollonius Herophileus. (Galen, De Compos. Medicam. sec. Gen. lib. v. cap. 15. tom. xiii. p. 856. ed. Kühn.) W. A. G. APOLLONIUS PERG ÆUS ('Απολλώνιος Пeрyaîos), so called from Perga in Pamphylia, his birth-place, was born in the reign of Ptolemy Euergetes, and lived at Alexandria under Ptolemy Philopator (B. c. 222—205). The time of his death is not known accurately: but he was living when Archimedes died (B. c. 212). Pappus represents him as inclined to do injustice to the merits of others: Eutocius, his commentator, states that, while living, he was called "the great geometer," on account of his discoveries in conic sections. This title, with the definite article, belongs rather to Archimedes. But Apollonius lived at Alexandria, the geometrical capital, and Archimedes in Sicily, then the "ultima Thule" of all science. Nothing more is known of his life. De Antid. lib. ii. cap. 7, 8. tom. xiv. p. 143. | Hippocrates. (Erotianus, Gloss. Hippocr. 146. ed. Kühn; Palladius, Comment. in p. 8. ed. Franzius.) Hippocr. Epid. VI." in Dietz, Schol. in Hippocr. et Gal. vol. ii. p. 98.; Soranus, De Arte Obstetr. p. 210. ed. Dietz.) W. A. G. APOLLO'NIUS ('ATоλλάvios), of MYNDUS, an astronomer and astrologer who lived in the time of Alexander the Great. He asserted that he had learned his science from the Chaldæans. He maintained that the comets were stars like the sun and the moon, only of a different form; that they were very numerous and moved in the more distant regions of the universe, but that they became visible only when they came nearer to our earth. He also maintained that the Chaldæans knew the courses of the comets as well as those of the planets. These statements are just sufficient to show the importance of his works, which are completely lost, with the exception of the above-mentioned notices, which are preserved in Seneca. Apollonius was also greatly skilled in explaining nativities. Stephanus of Byzantium speaks of a grammarian, Apollonius, who was likewise a native of Myndus, but his identity with the astronomer is more than doubtful. (Seneca, Naturales Quæstiones, vii. 3. 17.; Stephanus Byzant., under Múvdos.) L. S. APOLLO'NIUS ('Aπоλλvios), a Greek sophist and rhetorician of NAUCRATIS in Egypt. He was a pupil of the sophists Adrianus and Chrestus, but resembled them in his oratory as little as if he had never heard them. taught rhetoric at Athens as an opponent to Heraclides, and consequently in the reign of Septimius Severus, that is, about A. D. 200. He chiefly cultivated political oratory, which is said to have been very polished and studied, but without spirit. He and his pupils and friends formed a faction, which in its hostility to Heraclides went so far as to compel him to quit Athens. Apollonius was at one time engaged as private tutor to a Macedonian family of not very high rank, and he is censured for this as if he had made the engagement out of mere love of money; but he was nevertheless very generous towards the Greeks whenever they needed assistance; and it is also stated that it was very easy to make a bargain with him for instruction. He was universally beloved at Athens, where he died at the age of seventy. He had a son Rufinus, by a concubine, who likewise devoted himself to rhetoric, but appears to have been a person of no talent. (Philostratus, Vita Sophistarum, ii. 19. 26. § 2.; Eudocia, p. 66.) He L. S. APOLLO'NIUS OPHIS ('ATоλλvios & 'Opis), lived probably in the second or first century B. C., and is by some persons supposed to be Apollonius Pergamenus, by others Apollonius Ther. He wrote a work, which is not now extant, in which he abridged and arranged the treatise of Bacchius in explanation of the obsolete words to be found in Apollonius was an astronomer as well as a geometer. Ptolemy has preserved his theorems on the stationary points of the planets; and we must suppose that he was the first who solved the problem of finding the stationary points and arc of retrogradation, on the epicyclic hypothesis, which, though it now bears the name of Ptolemy, had been struck out by Hipparchus. Another Ptolemy (not the astronomer, but the one surnamed Chennus, the son of Hephæstio, whose fragments are preserved in Photius) says that Apollonius, who became a celebrated astronomer under Philopator, got the nickname of Epsilon, because he was a diligent observer of the moon, which was signified by the letter €. Fabricius thinks this refers to another Apollonius, but without assigning any reason. Copernicus (according to his biographer, Gassendi) attributes to Apollonius an astronomical system identical with that afterwards proposed by Tycho Brahe, of which we never could find any other notice. But lately, in the extracts from the Harmonicon Cœleste" given by M. Libri, we have seen an assertion of Vieta, that the system just mentioned was called Apollonian, because the Sun (Apollo) is the centre of the planetary epicycles and this is likely enough to have been the true state of the case. The works of Apollonius which have been preserved are seven books of Conic Sections, and a book " De Sectione Rationis." Besides these, Pappus, in the celebrated preface to his seventh book (in Halley's edition of the tract" De Sectione Rationis," this preface is given in Greek and Latin) gives the titles of other works," De Spatii Sectione," "De Sectione determinata,' "De_Tactionibus," "De Inclinationibus," "De Planis Locis," with a short description of the several contents. Various attempts have been made to restore these and other lost treatises; that is, to write the most probable imitations of them from such hints as surviving authors have left. Mention of these properly belongs to the biography of the restorers, not of the restored; it is here only necessary to caution the reader against a mistake sometimes made, namely, taking the restorations for genuine works. Proclus mentions two works of Apollonius," De Cochlea," and "De perturbatis Rationibus." Vitruvius attributes to him the invention of a species of clock called pharetra; and Eutocius speaks of a work called 'KUTÓSоov, a word which has puzzled the commentators, in which Apollonius extended the quadrature of the circle given by Archimedes. Pappus, in the fragment of the second book which Wallis has preserved, refers to some arithmetical work of Apollonius, but not by name. Proclus mentions an attempt of his to prove the axioms of Euclid. Up to the middle of the seventeenth century, nothing of Apollonius was known except the first four books of the Conic Sections, which had come down in Greek, with the commentary of Eutocius of Ascalon (A. D. 540) in the same language of these, one Latin translation had appeared at Venice in 1537, by J. B. Memmius; another, by Commandine at Bologna, in 1566; and a third, of little note, by the Jesuit Claude Richard, at Antwerp, in 1655. Translations had been made into Arabic, which were to be found in European libraries, but had not been looked for. About the middle of that century, James Golius, professor of Oriental languages at Leiden, returned from the East with abundance of Oriental manuscripts, and among others, with seven books of the Conic Sections. But, so it happened, in 1658, before Golius had published anything, Alfonso Borelli found, among the manuscripts which had been removed by purchase from the Medicean library to that of Florence, an Arabic writing with a Latin title" Apollonii Pergæi Conicorum Libri Octo." Montucla says that it has an Italian title: the fact is, the Italians were long in the habit of speaking of Latin as if they considered it a vernacular language. This manuscript, which professed to be a translation by Abalphat of Ispahan, on being examined by the assistance of certain Maronites then at Florence, turned out to agree with the Greek in the four books which were common to both, and was accordingly acknowledged as a genuine translation. But it only contained seven books, and a note on the manuscript which Golius brought to Europe stated, that no Arab translator had ever found more than seven books; but (ac cording to Golius as cited by Mersenne) Aben Eddin, a learned bibliographer, states that he had seen a part of the eighth book in Arabic, and also that he had seen, in the same language, all the works of Apollonius mentioned by Pappus, and more. The Maronites abovementioned recommended that the translation should be entrusted to Abraham Ecchellensis (so his name, whatever it was, had been Latinised), another Maronite, then at Rome, and a distinguished teacher of Oriental languages. Accordingly Borelli and Ecchellensis completed the translation of the fifth, sixth, and seventh books, and published it at Florence in 1661. Ravius also published a translation of the same, from the Arabic of one Abdu-l-malek, at Kiel (Kilonium) in 1669: this translation Halley terms barbarous. The story of the restoration of these three books, which was nearly completed when Borelli made his discovery, belongs to the life of Viviani. [VIVIANI, VINCENTIO.] Halley But the best edition of Apollonius, and the only one which contains the Greek as far as it goes, is the folio published at Oxford in 1710, by Halley, (Gregory, who began it, died before much progress had been made). The origin of the splendid editions of Euclid, Apollonius, and Archimedes, which the university of Oxford published during the last century, belongs to the life of Doctor Edward Bernard.* [BERNARD, EDWARD.] had previously, in 1706, (8vo.) published at Oxford, from the Arabic, the treatise "De Sectione Rationis;" he did not understand Arabic when he began, and had only the assistance of a few leaves of the translation which Bernard had left. He procured, for the edition of Apollonius, the manuscript brought to Europe by Golius, which he found useful in interpreting and filling up even the Greek text. This edition contains the four books and the commentary of Eutocius in Greek and Latin; the fifth, sixth, and seventh books, in Halley's translation from the Arabic; and Halley's attempt at a restitution of the eighth book from the preliminary lemmas given by Pappus. It also contains the two books of Serenus on the cone and cylinder. The contents of the great work of Apollonius, taking the several books in order, are: -I. The cone and its sections, the subcontrary circles, the ellipse, hyperbola, and parabola, and their distinctive properties. Apollonius uses all these terms; Archimedes had the word parabola only (56 propositions). II. On the axes, diameters, and asymptotes (53 props.). III. A miscellaneous book, in extension of the former ones, with properties of what are now called the foci (56 props.). IV. On the mutual intersections of the curves It is singular that, by a mere accidental coincidence, his own order. He meant that Pappus should be the the university has fulfilled his first three intentions in fourth. |