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II, 1 p. 92, 3.$ ˆ”@*META\ TH\N TW=N E)PIFANEIW=N ME/TRHSIN EU)QUGRA/MMWN €TE KAI\ MH\ KATA\ TO\ A)KO/LOUQON E)PI\ TA\ STEREA\ SW/MATA €XWRHTE/ON, W(=N KAI\ TA\S E)PIFANEI/AS E)N TW=| PRO\ TOU/TOU €BIBLI/W| E)METRH/SAMEN E)PIPE/DOUS TE KAI\ SFAIRIKA\S E)/TI TE €KWNIKA\S KAI\ KULINDRIKA/S, PRO\S DE\ TOU/TOIS A)TA/KTOUS, €W(=N TA\S E)PINOI/AS W(/SPER PARADO/COUS OU)/SAS TINE\S EI)S €*)ARXIMH/DHN A)NAFE/ROUSIN KATA\ DIADOXH\N I(STOROU=NTES. €EI)/TE DE\ *)ARXIMH/DOUS EI)/TE A)/LLOU TINO/S, A)NAGKAI=ON KAI\ €TAU/TAS PROSUPOGRA/YAI. @1 ‰î@&Hero, Metric. II, 20 p. 138, 6.$ ‚@*TW=N DH\ E)N TA/CEI STEREW=N SWMA/TWN METRHQE/NTWN €EU)/LOGON U(POLAMBA/NOMEN KAI\ TA\ A)/TAKTA, OI(=ON R(IZW/DH €H)\ PETRW/DH, PARISTORH=SAI TH=| METRH/SEI, W(S E)/NIOI I(STO-€ROU=SI TO\N *)ARXIMH/DH E)PINENOHKE/NAI PRO\S TA\ TOIAU=TA €ME/QODON. EI) ME\N GA\R EU)META/FORON EI)/H TO\ ME/LLON ME-€TREI=SQAI, DEH/SEI DECAMENH\N PA/NTH O)RQOGWNI/AN POIH/SANTA €DUNAME/NHN DE/CASQAI, O(\ BOULO/MEQA METRHQH=NAI, PLHRW=SAI €U(/DATOS KAI\ E)MBALEI=N TO\ A)/TAKTON SW=MA: DH=LON DH\ OU)=N, €O(/TI U(PERXUQH/SETAI TO\ U(/DWR, KAI\ TOSOU=TO/N GE, O(/SOS E)STI\N €O( TOU= E)MBLHQE/NTOS SW/MATOS EI)S TO\ U(/DWR O)/GKOS, E)CAR-€QE/NTOS TOU= SW/MATOS PA/LIN E)K TH=S DECAMENH=S E)LLIPE\S €E)/STAI. METRH/SANTES OU)=N TO\N E)KKEKENWME/NON TO/PON A)PO-€FANOU/MEQA TOSOU/TOU EI)=NAI TO\ STEREO\N TOU= E)MBLHQE/NTOS €SW/MATOS. H)\ KAI\ A)/LLWS DUNATO/N E)STI TO\ AU)TO\ METRH=SAI: €E)A\N GA\R PROSPLASQH=| TO\ A)/TAKTON SW=MA KHRW=| H)\ PHLW=|, €W(/STE GENE/SQAI A)POKRUBE\N PA/NTH O)RQOGW/NION, KAI\ TOU=TO €METRH/SANTES A)FE/LWMEN TO\N PHLO\N KAI\ O)RQOGW/NION PLA/-€SANTES E)KMETRH/SWMEN KAI\ A)FE/LWMEN A)PO\ TOU= PRO/TERON €METRHQE/NTOS, TO\ KATALEIPO/MENON A)POFANOU/MEQA TO\ TOU= €SW/MATOS STEREO/N. TH=| DE\ TOU= PERIPLA/SMATOS MEQO/DW| €XRH=SQAI DEI= E)PI\ TW=N MH\ DUNAME/NWN METATI/QESQAI €SWMA/TWN. ™‰ô{1&APPENDIX LIBRI II DE SPHAERA ET CYLINDRO.$}1 ˜‰‰î@&De sphaera et cyl. II, 4 p. 192, 5.$ ‚@E(KA/TERA DE\ TAU=TA E)PI\ TE/LEI A)NALUQH/SETAI/ TE KAI\ €SUNTEQH/SETAI. @1 ™Šô{1*PRO\S *ZEU/CIPPON.}1 ˜Š‰î@&Arenar. I, 3 p. 216, 17.$ ‚@TW=N U(F' A(MW=N KATWNOMASME/NWN A)RIQMW=N KAI\ E)K-€DEDOME/NWN E)N TOI=S POTI\ *ZEU/CIPPON GEGRAMME/NOIS. ‰„î@&summam huius libri habemus Arenar. III, 2_4; cfr. III, 1$ ‰…î&p. 236, 17:$ †@XRH/SIMON DE\ EI)=MEN U(POLAMBA/NW TA\N KATONO/MACIN TW=N €A)RIQMW=N R(HQH=MEN, O(/PWS KAI\ TW=N A)/LLWN OI( TW=| BIBLI/W| €MH\ PERITETEUXO/TES TW=| POTI\ *ZEU/CIPPON GEGRAMME/NW| MH\ €PLANW=NTAI DIA\ TO\ MHDE\N EI)=MEN U(PE\R AU)TA=S E)N TW=|DE €TW=| BIBLI/W| PROEIRHME/NON. š‹±µôÿ{1&MECHANICA.$}1 @1 ˜‹‰î@&Cfr. 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TOU=TO €DE\ TO\ SHMEI=ON OU) MO/NON E)N TOI=S TETAGME/NOIS A)LLA\ KA)N €TOI=S A)TA/KTWS E)SXHMATISME/NOIS EU(RI/SKETAI SW/MASIN U(PA/R-€XON E)FO/DW| TINI\ QEWROU/MENON TOIAU/TH|, &qua exposita €&addit VIII, 8 p. 1034, 1:$ TO\ ME\N OU)=N MA/LISTA SUNE/XON €TH\N KENTROBARIKH\N PRAGMATEI/AN TOU=T' A)\N EI)/H, MA/QOIS €D' A)\N TA\ ME\N STOIXEIW/DH O)/NTA DIA\ TAU/THS DEIKNU/MENA €TOI=S *)ARXIMH/DOUS PERI\ I)SORROPIW=N E)NTUXW/N. ‰î@&Simplicius in Aristot. de caelo p. 543, 24:$ ˆŽ@TA\ ME\N OU)=N KENTROBARIKA/, OI(=A POLLA\ KAI\ XARIE/STATA @1 €O(/ TE *)ARXIMH/DHS KAI\ A)/LLOI GEGRA/FASI POLLOI/, SKOPO\N €E)/XEI, PW=S TOU= DOQE/NTOS BA/ROUS TO\ KE/NTRON EU(REQEI/H, €TOUTE/STI SHMEI=O/N TI E)PI\ TOU= SW/MATOS, A)F' OU(= SPA/RTOU €TINO\S E)CAFQEI/SHS METEWRIZO/MENON A)KLINE\S E)/STAI TO\ SW=MA. ‰î@&Archimedes, Quadr. parab. 6 p. 274, 12.$ ‚@E(/KASTON GA\R TW=N KREMAME/NWN, E)C OU(= SAMEI/OU KA €KATASTAQH=|, ME/NEI, W(/STE KATA\ KA/QETON EI)=MEN TO/ TE €SAMEI=ON TOU= KREMASTOU= KAI\ TO\ KE/NTRON TOU= BA/REOS TOU= €KREMAME/NOU: DE/DEIKTAI GA\R KAI\ TOU=TO. ‰î@&Archimedes,$ *PERI\ O)XOUME/NWN &II, 2 p. 350, 13.$ ‚@DE/DEIKTAI GA\R <20E)N TAI=S *)ISORROPI/AIS>20, O(/TI PANTO\S €O)RQOGWNI/OU KWNOEIDE/OS TMA/MATOS TO\ KE/NTRON TOU= BA/REO/S €E)STIN E)PI\ TOU= A)/CONOS DIH|RHME/NOU OU(/TWS, W(/STE TO\ POTI\ €TA=| KORUFA=| TOU= A)/CONOS TMA=MA DIPLA/SION EI)=MEN TOU= €LOIPOU=. ‰î@&Pappus VIII, 24 p. 1068, 19.$ ‚@A)PEDEI/XQH GA\R <20E)N TW=| *PERI\ ZUGW=N *)ARXIMH/DOUS>20 €KAI\ TOI=S *FI/LWNOS KAI\ *(/HRWNOS *MHXANIKOI=S, O(/TI OI( €MEI/ZONES KU/KLOI KATAKRATOU=SIN TW=N E)LASSO/NWN KU/KLWN, €O(/TAN PERI\ TO\ AU)TO\ KE/NTRON H( KU/LISIS AU)TW=N GI/NHTAI. ‰î@&Pappus VIII, 19 p. 1060, 2.$ ‚@TH=S AU)TH=S DE/ E)STIN QEWRI/AS <20TO\ DOQE\N BA/ROS TH=| €DOQEI/SH| DUNA/MEI KINH=SAI>20: TOU=TO GA\R *)ARXIMH/DOUS €ME\N EU(/RHMA LE/GETAI MHXANIKO/N, E)F' W(=| LE/GETAI EI)RHKE/NAI: €DO/S MOI, FHSI/, POU= STW=, KAI\ KINW= TH\N GH=N. @1 š‘²±ôÿ{1*KATOPTRIKA/.}1 ˜‘‰î@&Theo in Ptolemaei Synt. I p. 10 ed. Basil.$ ‚@KAI\ TW=N A)P' AU)TH=S [1&sc.$ TH=S O)/YEWS]1 E)PI\ TO\N A)E/RA €PROSPIPTOUSW=N A)KTI/NWN KLA/SIN U(POMENOUSW=N KAI\ €MEI/ZONA POIOUSW=N TH\N PRO\S TH=| O)/YEI GWNI/AN, <20KAQA\ €KAI\ *)ARXIMH/DHS E)N TOI=S *PERI\ KATOPTRIKW=N A)PO-€DEIKNU/WN FHSI/N>20, O(/TI [KAQA/PER] <20KAI\ TA\ EI)S U(/DWR €E)MBALLO/MENA MEI/ZONA FAI/NETAI, KAI\ O(/SW| KA/TW €XWREI=, MEI/ZONA.>20 &et paullo infra:$ KAI\ KEKLA/SQWSAN E)PI\ €TA\ *A, *B, W(S [2AI(]2 *E*Q*A, *E*K*B, <20KAQA\>20 KAI\ <20*)ARXIMH/DHS €E)N TOI=S *PERI\ KATOPTRIKW=N>20, W(S E)/FAMEN. @1 ‰î@&Olympiodorus in Aristotelis Meteorolog. p. 211, 18 ed. ‰‚î&Busse (II p. 94 ed. Ideler).$ ƒ@A)/LLWS TE KAI\ <20*)ARXIMH/DHS AU)TO\ TOU=TO DEI/KNUSIN, €O(/TI KLA=TAI H( O)/YIS, E)K TOU= DAKTULI/OU TOU= E)N €A)GGEI/W| BALLOME/NOU.>20 ‰†î@&Cfr. 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Xylandri.$ ‚@DUNATO\N ME/NTOI KAI\ A)/LLWS A)PORI/A| DIO/PTRAS TH=| MEQ-€O/DW| XRH/SASQAI, KAQA\ DH/POU KAI\ <20*)ARXIMH/DHS>20, O(/S POTE/ €TINWN E)ROME/NWN PERI\ TH=S U(P' O)/YIN PURAMI/DOS, O(PO/SH €A)\N EI)/H TO\ ME/GEQOS, TH\N R(A/BDON E(TOI/MWS O)/RQION PRO\S €TH\N E)C H(LI/OU TH=S PURAMI/DOS KATAPH/CAS SKIA/N, W(S TA\S €A)MFOI=N TH=S TE R(A/BDOU KAI\ TH=S PURAMI/DOS E)C I)/SOU €SUNAPOPERATOU=SQAI SKIA/S, KAI\ DU/O E)NTEU=QEN A)POTELE/SAS €I)SOGW/NIA TRI/GWNA AU)TO/QEN E)PH/GAGEN: O(\N LO/GON H( E)N €E)PIPE/DW| KEIME/NH SKIA\ TH=S R(A/BDOU PRO\S AU)TH\N E)/XEI TH\N þï€°µµ²ÿï°±³ÿ˜•ˆ‹R(A/BDON, TO\N AU)TO\N KAI\ H( E)N E)PIPE/DW| TH=S PURAMI/DOS €SKIA\ PRO\S AU)TH\N E)/XEI TH\N PURAMI/DA: KAI\ LOIPO\N TH=| €DIAMETRH/SEI TH=S SKIA=S TH=S PURAMI/DOS TO\ TH=S PURAMI/DOS €U(/YOS TOI=S E)RWTH/SASI DH=LON KATE/STHSEN. ™–ô{1*PERI\ SFAIROPOII/AS.}1 ˜–‰î@&Carpus apud Pappum VIII, 3 p. 1026, 9.$ ‚@*KA/RPOS DE/ POU/ FHSIN O( *)ANTIOXEU\S *)ARXIMH/DH TO\N €*SURAKO/SION E(\N MO/NON BIBLI/ON SUNTETAXE/NAI MHXANIKO\N €<20TO\ KATA\ TH\N SFAIROPOII/AN>20, TW=N DE\ A)/LLWN OU)DE\N €H)CIWKE/NAI SUNTA/CAI. ‰†î@&Cfr. Proclus in Eucl. p. 41, 16:$ @1 ‡@H( <20SFAIROPOII/A>20 KATA\ MI/MHSIN TW=N OU)RANI/WN PERI-€FORW=N, <20OI(/AN KAI\ *)ARXIMH/DHS E)PRAGMATEU/SATO.>20 ‰‰î@&Cfr. Hippolytus, Refutat. omn. haeres. ed. Duncker, ‰Šî&p. 66, 52:$ ˆ‹@KAI\ A)PO/STHMA DE\ A)PO\ TH=S E)PIFANEI/AS TH=S GH=S E)PI\ €TO\N SELHNIAKO\N KU/KLON O( ME\N *SA/MIOS *)ARI/STARXOS A)NA-€GRA/FEI STADI/WN .... O( DE\ *)ARXIMH/DHS MURIA/D. 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