Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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tem circuli maximi in ſphæra ſe mutuo ſecantbifariam, fit, vtduo arcus angulum
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">11.1. Theod.,
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Angulus
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ſphæricus
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neceſſario
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fit ex duo-
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bus arcubꝰ
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ſe mutuo
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ſecantibus.</
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ſphæricum in ſuperficie ſphæræ continẽtes, ſi producantur, ſe mutuo ſecent, non autem
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ſe mutuo contingant: </
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<
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">Ita vt omnis angulus ſphæricus fiat ex duobus arcubus ſeſe in-
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terſecantibus in ſuperficie ſphæræ, non autem ex arcubus ſe mutuo tangentibus. </
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<
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quod de angulis in plana ſuperficie exiſtentibus dici non poi ſt. </
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">_In_ hac enim non ſo-
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lum duæ lineæ rectæ, vel curuæ, vel quarum vna recta eſt, & </
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ſecantes. </
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<
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">ſi producantur, angulum planum conſtituunt, verum etiam duæ lineæ, qua-
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">Angulus
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planus fie-
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ri etiam po
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teſt ex dua
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bus lineis ſe
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non ſecan-
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tibus, ſed tã
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gentibus ſe
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mutuo dũ-
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taxat.</
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rum vtraque vel curua eſt, vel vna curua, & </
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">altera recta, ſeſe tangentes tantum-
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modo, angulum planum curuilineum, vel mixtum (qui quidem angulus contactus, vel
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contingentiæ à Geometris vocatur,) conſtituere poſsunt, vt ex propoſ. </
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<
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">licet Iacobus Peletarius neget eum eſſe angulum, coneturq́; </
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<
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">illud multis
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rationibus confirmare, quæ omnes ſophiſticæ ſunt, & </
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">friuolæ, vt ex ſolutionibus il-
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larum, quas in ſcholio dictæ propoſ. </
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">adduximus, perſpicuũ eſt. </
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">Neque vero Peletarius
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in Apologia de contactu linearũ, quam anno 1579. </
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<
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">in me conſcripſit, (quàm modeſte,
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& </
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">ſyncere, ipſe viderit.) </
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<
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">auſus eſt ſolutiones meas impugnare, aut opinionẽ ſuam, no
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uamillam quidem, & </
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">inauditam, nouis rationibus (ſcilicet nullas habebat) confirma-
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re: </
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">conuitijs ſe defendere conatur, vt facile ij, qui eam per-
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legerint, iudicabunt.</
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<
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">HVIC ego Apologiæ iam pridem non tam mei purgandi, quam ve-
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">Digreſſio
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cõtta Apo
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logiam Pe
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letarij in
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auctotem
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ſcriptam.</
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ritatis tuendę gratia reſpondiſſem, niſi me ab hoc conſilio grauiſsima eru-
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ditiſsimorum hominum auctoritas, qui eam reſponſo omnino indignam
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iudicabant, reuocaſſet. </
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gia neceſſario mentio facta eſt, non alienum eſſe duxi, breuiter calumnias,
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atq; </
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">iniurias, quibus frequenter me in ea Apologia afficit, quanta pote-
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ro modeſtia, depellere, vt benignus lector intelligat, ſine cauſa eum tan-
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to animi dolore, & </
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">iracundia, quantam præ ſe fert, contra me exarſiſſe,
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falsoq; </
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">mihi impoſuiſſe multa: </
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">me autemè contrario nullum verbum in-
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iurioſum in illum effudiſſe, aut conuitium, quod fruſtra in epiſtola nuncu-
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patoria criminatur, vbi me à conuitijs non abſtinere, aperte teſtatur. </
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">in illa Apologia nihil adeo me offendit, quàm quòd me Peletarius non
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ſyncere, ſed animoſe, atq; </
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">adeo inuidioſe feciſſe inſimulat, vt eum in meis
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commentarijs vel reprehenderem, vel laudarem: </
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">quæ ſane vitia puſilli
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ſemper animi eſſe duxi, & </
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lieniſsima. </
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">Verum ea quàm longe abſint tum à noſtræ Societatis diſcipli-
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na, tum à mea conſuetudine, nemo omnino, qui nos ac noſtra norit, igno-
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rat. </
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">His vero, qui noſtra minime norunt, liber ipſe fidem faciet, ſyncere
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omnia dici, nihil inuidioſe, nihil animoſe: </
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<
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">planè vt veritatem quæſitam,
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non cuiuſq; </
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<
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<
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">enim mihi tan
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tum derogo, (etſi nihil arrogo) vt mihi vni interdictum putem, ne, ſi quid
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in alienis ſcriptis falſum videatur, occaſione oblata, cur id mhi minus pro-
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betur, oſtendam; </
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">modo (quod pudentium, ac bene moratorum hominum
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conſuetudo poſtulat) id ſine conuitio, atq; </
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<
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liber ipſe, qui in medio eſt, ita à me factum eſſe clamat. </
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<
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illum librum peruolutes, ne verbum quidem vnum reperias, quod vel
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ſpeciem maledicti habeat, atq; </
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