Abhandlungen zur Geschichte der Mathematik.

Ptolemaus de Analemmate. 17 v7to(rEt)v(EL) (<d> trv,Ev \ dLTrIv recte, duple autem ipsius 1k periferie r X.: 9ElpeQEilcag { dLti'r rZ g <K > ) dupla ipsius In1 reete, data erit et E~vEtac, ag v dE tLtXiv rtg X zteet- proportio utraque ipsaruim Im et In (pEgeiacg | <> LtXKi { & r g Xv> v} lä,iag ad diametrum meridiani. quare et 60doQi6Ea l xaal O 7oyo | ExaE oag töv proportio ipsius en, que est equalis t xval <Xv> } og r,]v ro0i tEa<( t> ipsi Im, et proportio ipsarum e,c2 P39lvo2 tC&a(Erov. (6(),e~ xal 6 0r O nx laterum tetragoni. sumantur itaEV, <(j E(rtv iö'al) | l t, vat 6 rSv que ipsi In equales que ps et que rov E~G (<v, rTa:o2yc&vov1) 7TviCoZIv>. xc, et protrahantur que oe et er et.&7tXeOp9:JO(cav d6r rf Xkv i'aal { (,e) esy et ecf. qve quidem igitur zl 7C (a)2) ZCl < r>, Ol K l?j&%-cGaav periferia existens equalis ei que (~)L EO za' e(Q)3) a) i E v ca t ESpl. cireuli ektiiiori et adhuc ei que in ). pEv rotvvv tV 7etEgOLpQEtIa f' ovCa plano equinoctialis ex se data est. T1 TOu Etzroi loV Ka E'tl t n Ev TZ rov | l'1tE89L( vo>V E'LU7tE'0 acV(OnaEv) BöoOraL. |[ 143 <EKVtE Z E Ka rof E'O Oofot>yoviov l quoniam et ipsius exo rectanguli,rt2ywvov 1 a6otaL q <~ K ai q 0o> i trigoni data est que ex et que xo, et C <80> VzorEtlvov6a4) 6do50](E(rai) | que eo subtendens dabitur et angulus <.al ] ~VCO oE' y(wvil. (a'6TE> Xac i j qui sub eox et reliquus qui sub oex. po5) 7ELQtEpE l(aC ) tE^oEova, (<r.v rov quare et que bo periferia continens COltov 3VV>3KXOV. 0oiltcog | <^ä EiE eum qui eirculi horarii. similiter auteni.a ro 0v ETr cQ ooyviov> dEloral qi quoniam et ipsius epr rectanguli data rE Etc1 xtl K <zt >6), 7o 6EraaL Kab est cque ep et que pr, et que er TE <E~> vrtoK<rEtvova zc xa> 1 <f v7to subtendens dabitur et angulus qui 8Q7V ywvvia Xcal XoLM' W> VC> (7f) E sub erp1) et reliquus qui sub p2er,,auz, tCe Kl \ 69 etQ oLpEEta it'' simul cum ipso et que dr periferia ovc5a T', zov KacrzaTxoiVT. tacXv 4] existens equalis ei que circuli de}cv X7) 7tEoCpExELa 7wOLO6~a rTv | toV seensiui. rursum que quidem 7l7 Ei ßaiQLvoV avtOE, v 6Edota,. EtEb SE periferia faciens eum qui meridiani aL | oov <(e6> 6ooyWltvov 6Edorai ex se data est. quoniam et ipsius eps 8j rE En Xai j nt( ),_ \ qoiaEat Cli rectanguli que e p et que p s, dabitur se e8( ~rtOVElvov6a~ KCal, Vo <7v ae et que es subtensa et angulus qui ycovia >c ori, e gOi 'l (S)v 7EQrgpEEtaL sub pse2) ipseque et que dy periferia 'öi, o'<[a{ t ry> (ro)) xara xoovgpNv. existens equalis ei que cireuli qui o6toilo dE Ei7tE 8) zCi tro 1 (r) (E) secundum verticem. similiter autem 1) Die Spuren führen eher auf vxKlov. 1) eprp. 2) Hier fehlt: et reli2) zS? 3) Ex? 4) vrTorZTov6a. 5) ao? quus pes. 6) Hier scheint Raum für mehr Buchstaben zu sein. 7) ac? 8) stt. Abh. zur Gesch. der Mathem. VII. 2

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Title
Abhandlungen zur Geschichte der Mathematik.
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Page 10
Publication
Leipzig,: B. G. Teubner,
1877-99.
Subject terms
Mathematics -- Periodicals.
Mathematics -- History.

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"Abhandlungen zur Geschichte der Mathematik." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acd4263.0002.001. University of Michigan Library Digital Collections. Accessed April 30, 2025.
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