## Sentence Examples

**We****can****trace****obligations****to****Meleager**,**Theocritus**,**Apollonius****Rhodius****and****other****Alexandrines**,**and****amongst****earlier****writers****to****Homer**,**Pindar**,**Aeschylus****and****others**.**In****the****days****of****its****greatest****power****Rhodes****became****famous****as****a****centre****of****pictorial****and****plastic****art**;**it****gave****rise****to****a****school****of****eclectic****oratory****whose****chief****representative****was****Apollonius****Molon**,**the****teacher****of****Cicero**;**it****was****the****birthplace****of****the****Stoic****philosopher****Panaetius**;**the****home****of****the****poet****Apollonius****Rhodius****and****the****historian****Posidonius**.- 5
**-**65;**Apollonius****Rhodius**,**schol**. **Apollonius**,**the****commander****of****the****Syrian****garrison****in****Jerusalem**,**and****Seron****the****commander****of****the****army****in****Syria**,**came****in****turn****against****Judas****and****his****bands****and****were****defeated**.- 243
**-**415;**Apollonius****Rhodius****iii**. **Apollonius****of****Tyana****and****the****so-called****Neopythagoreans****drew****similar****ethical****consequences****from****their****eclectic****study****of****Plato**.**Ever****afterwards**,**in****memory****of****the****threat****of****Heracles****to****ravage****the****land****if****Hylas****were****not****found**,**the****inhabitants****of****Kios****every****year****on****a****stated****day****roamed****the****mountains**,**shouting****aloud****for****Hylas**(**Apollonius****Rhodius****i**.**In****the****course****of****constructions****for****surfaces****to****reflect****to****one****and****the****same****point**(1)**all****rays****in****whatever****direction****passing****through****another****point**, (2)**a****set****of****parallel****rays**,**Anthemius****assumes****a****property****of****an****ellipse****not****found****in****Apollonius**(**the****equality****of****the****angles****subtended****at****a**.**Apollonius****of****Rhodes****who****succeeded****Eratosthenes****as****chief****librarian****at****Alexandria**(196**B**.**C**.)**reports****in****his****Argonautica**(**iv**.**Again**,**others**(**Apollonius****Rhodius**)**laid****down****the****course****as****up****the****Danube**(**Ister**),**from****it****into****the****Adriatic****by****a****supposed****mouth****of****that****river**,**and****on****to****Corcyra**,**where****a****storm****overtook****them**.**In****Greek**,**there****are****also****extant****the****Argonautica****of****Apollonius****Rhodius****and****the****pseudo-Orpheus**(4th**century****A**.**D**.),**and****the****account****in****Apollodorus**(**i**.- 9),
**based****on****the****best****extant****authorities**;**in****Latin**,**the****imitation****of****Apollonius**(**a****free****translation****or****adaptation****of****whose****Argonautica****was****made****by****Terentius****Varro****Atacinus****in****the****time****of****Cicero**)**by****Valerius****Flaccus**. **Her****punishment****is****the****subject****of****the****famous****group****called**"**The****Farnese****Bull**,"**by****Apollonius****and****Tauriscus****of****Tralles**,**in****the****Naples****museum**(**see****Greek****Art**,**Plate****I**.**Ptolemy'****s****Almagest**,**the****works****of****Apollonius**,**Archimedes**,**Diophantus****and****portions****of****the****Brahmasiddhanta**,**were****also****translated**.**It****is****given****at****some****length****in****the****fourth****Pythian****ode****of****Pindar**,**and****forms****the****subject****of****the****Argonautica****of****Apollonius****Rhodius**.**APOLLOS**('**AiroXXd**;**s****contracted****from****Apollonius**),**an****Alexandrine****Jew****who****after****Paul'****s****first****visit****to****Corinth****worked****there****in****a****similar****way**(1**Cor**.- 838)
**that****he****took****the****name****from****Apollonius**,**his****master**. **But****there****seems****no****reason****for****doubt**;**the****great****grammarians****of****imperial****times**(**Apollonius****Dyscolus****and****Herodian**)**were****acquainted****with****the****work****in****its****present****form**,**although**,**as****was****natural****considering****its****popularity**,**additions****and****alterations****may****have****been****made****later**.**In****recollection****of****its****former****services**,**the****emperor****Claudius****remitted****the****heavy****tribute****which****had****been****imposed****on****it**;**but****the****last****remnant****of****its****independence****was****taken****away****by****Vespasian**,**who**,**in****answer****to****a****remonstrance****from****Apollonius****of****Tyana**,**taunted****the****inhabitants****with****having**"**forgotten****to****be****free**."**The****other****was****written****by****a****certain****Apollonius****forty****years****after****the****appearance****of****Montanus**,**consequently****about**196.**Apollonius**(**Eusebius**,**Hist**.**Apollonius****Rhodius**,**i**.**Vieta**,**however**,**did****not****accept****it**,**as****there****existed****a****solution****by****means****of****the****rule****and****the****compass****only**,**which****he****published****himself****in****his****Apollonius****Gallus**(1600).- 26),
**and****quoted****by****the****anti-Montanist****Apollonius**(**H**.**E**. **The****best****extant****specimen****is****the****Argonautica****of****Apollonius****Rhodius**;**the****most****characteristic****is****the****Alexandra****or****Cassandra****of****Lycophron**,**the****obscurity****of****which****is****almost****proverbial**.**The****founder****of****the****mathematical****school****was****the****celebrated****Euclid**(**Eucleides**);**among****its****scholars****were****Archimedes**;**Apollonius****of****Perga**,**author****of****a****treatise****on****Conic****Sections**;**Eratosthenes**,**to****whom****we****owe****the****first****measurement****of****the****earth**;**and****Hipparchus**,**the****founder****of****the****epicyclical****theory****of****the****heavens**,**afterwards****called****the****Ptolemaic****system**,**from****its****most****famous****expositor**,**Claudius****Ptolemaeus**.- 13;
**Apollonius****Rhodius****iv**. **His****chief****poem****of****the****later****period****was****the****Argonautae**,**closely****modelled****on****the****epic****of****Apollonius****Rhodius**.**It****is****a****free****imitation****and****in****parts****a****translation****of****the****work****of****Apollonius****of****Rhodes**,**already****familiar****to****the****Romans****in****the****popular****version****of****Varro****Atacinus**.**Priscian****informs****us****in****his****preface****that****he****has****translated****into****Latin****such****precepts****of****the****Greeks****Herodian****and****Apollonius****as****seemed****suitable**,**and****added****to****them****from****Latin****grammarians**.**The****latest****name****in****the****above****list****is****that****of****Polybius**,**who****died****about**123**B**.**C**.**Apollonius****Rhodius**,**Aratus****and****Theocritus****were****subsequently****added****to****the**"**epic**"**poets**.**The**2nd**century****is****the****age****of****the****two****great****grammarians**,**Apollonius****Dyscolus**(**the****founder****of****scientific****grammar****and****the****creator****of****the****study****of****Greek****syntax**)**and****his****son****Herodian**,**the****larger****part****of****whose****principal****work****dealt****with****the****subject****of****Greek****accentuation**.**Were****brought****from****the****East****by****Aurispa**,**who****in**1423**returned****with****no****less****than****two****hundred****and****thirty-eight**,**including****the****celebrated****Laurentian****MS**.**of****Aeschylus**,**Sophocles****and****Apollonius****Rhodius**.**At****Florence****the****earliest****editions****of****Homer**(1488)**and****Isocrates**(1493)**had****been****produced****by****Demetrius****Chalcondyles**,**while****Janus****Lascaris****was****the****first****to****edit****the****Greek****anthology**,**Apollonius****Rhodius**,**and****parts****of****Euripides**,**Callimachus****and****Lucian**(1494**-**1496).**Suidas****attributes****numerous****works****to****him**,**amongst****others****a****number****of****letters****to****Apollonius****of****Tyana**.**P**. 520),**who****places****them****near****the****Caspian**,**also****speaks****of****their****ponies**,**and****attributes****to****them****Persian****customs**.**In****Apollonius****Rhodius**(**iv**.**This****problem**,**also****termed****the**"**Apollonian****problem**,"**was****demonstrated****with****the****aid****of****conic****sections****by****Apollonius****in****his****book****on****Contacts****or****Tangencies**;**geometrical****solutions****involving****the****conic****sections****were****also****given****by****Adrianus****Romanus**,**Vieta**,**Newton****and****others**.**APOLLONIUS****OF****PERGA**[**PERGAEUS**],**Greek****geometer****of****the****Alexandrian****school**,**was****probably****born****some****twenty-five****years****later****than****Archimedes**,**i**.**e**.**After****the****Conics****in****eight****Books****had****been****written****in****a****first****edition**,**Apollonius****brought****out****a****second****edition**,**considerably****revised****as****regards****Books****i**.-**ii**.,**at****the****instance****of****one****Eudemus****of****Pergamum**;**the****first****three****books****were****sent****to****Eudemus****at****intervals**,**as****revised**,**and****the****later****books****were****dedicated**(**after****Eudemus**'**death**)**to****King****Attalus****I**.**Halley****added****in****his****edition**(1710)**a****restoration****of****Book****viii**.,**in****which****he****was****guided****by****the****fact****that****Pappus****gives****lemmas**"**to****the****seventh****and****eighth****books**"**under****that****one****heading**,**as****well****as****by****the****statement****of****Apollonius****himself****that****the****use****of****the****seventh****book****was****illustrated****by****the****problems****solved****in****the****eighth**.**The****degree****of****originality****of****the****Conics****can****best****be****judged****from****Apollonius**'**own****prefaces**.**Apollonius**'**genius****takes****its****highest****flight****in****Book****v**.,**where****he****treats****of****normals****as****minimum****and****maximum****straight****lines****drawn****from****given****points****to****the****curve**(**independently****of****tangent****properties**),**discusses****how****many****normals****can****be****drawn****from****particular****points**,**finds****their****feet****by****construction**,**and****gives****propositions****determining****the****centre****of****curvature****at****any****point****and****leading****at****once****to****the****Cartesian****equation****of****the****evolute****of****any****conic**.**The****other****treatises****of****Apollonius****mentioned****by****Pappus****are**- 1st,**Aayov****alroropii**,**Cutting****off****a****Ratio**; 2nd,**Xcopiov**a7rorop,**Cutting****off****an****Area**; 3rd,**Ocwpui****j****Av****i****Tog**,**Determinate****Section**; 4th, '**Eiraci**)**aL**,**Tangencies**; 5th, 11-€1,**o-as**,**Inclinations**; 6th,**Tinrot****bri**ret50t,**Plane****Loci**.**Each****of****these****was****divided****into****two****books**,**and**,**with****the****Data**,**the****Porisms****and****Surface-Loci****of****Euclid****and****the****Conics****of****Apollonius****were**,**according****to****Pappus**,**included****in****the****body****of****the****ancient****analysis**.**Anderson****of****Aberdeen**,**in****the****supplement****to****his****Apollonius****Redivivus**(**Paris**, 1612),**but****by****far****the****best****is****by****Robert****Simson**,**Opera****quaedam****reliqua**(**Glasgow**, 1776).**Vieta****thereupon****proposed****a****simpler****construction**,**and****restored****the****whole****treatise****of****Apollonius****in****a****small****work**,**which****he****entitled****Apollonius****Gallus**(**Paris**, 1600).**Other****works****of****Apollonius****are****referred****to****by****ancient****writers**,**viz**.- (1)
**Ile**/3**c****Tou****irvpiov**,**On****the****Burning-Glass**,**where****the****focal****properties****of****the****parabola****probably****found****a****place**; (2)**Hepi****On****the****Cylindrical****Helix**(**mentioned****by****Proclus**); (3)**a****comparison****of****the****dodecahedron****and****the****icosahedron****inscribed****in****the****same****sphere**; (4) `**H**Ka06Xov**lrpa-y**µ**areta**,**perhaps****a****work****on****the****general****principles****of****mathematics****in****which****were****included****Apollonius**'**criticisms****and****suggestions****for****the****improvement****of****Euclid'****s****Elements**; (5) ' (**quick****bringing-to-birth**),**in****which**,**according****to****Eutocius**,**he****showed****how****to****find****closer****limits****for****the****value****of**7r**than****the**37**and**3,4**-A****of****Archimedes**; (6)**an****arithmetical****work**(**as****to****which****see****Pappus**)**on****a****system****of****expressing****large****numbers****in****language****closer****to****that****of****common****life****than****that****of****Archimedes**'**Sand-reckoner**,**and****showing****how****to****multiply****such****large****numbers**; (7)**a****great****extension****of****the****theory****of****irrationals****expounded****in****Euclid**,**Book****x**.,**from****binomial****to****multinomial****and****from****ordered****to****unordered****irrationals**(**see****extracts****from****Pappus**'**comm**. **The****best****editions****of****the****works****of****Apollonius****are****the****following**: (1)**Apollonii****Pergaei****Conicorum****libri****quatuor**,**ex****versione****Frederici****Commandini**(**Bononiae**, 1566),**fol**.; (2)**Apollonii****Pergaei****Conicorum****libri****octo**,**et****Sereni****Antissensis****de****Sectione****Cylindri****et****Coni****libri****duo**(**Oxoniae**, 1710),**fol**.**Heath**,**Apollonius**,**Treatise****on****Conic****Sections**(**Cambridge**, 1896);**see****also****H**.