Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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letarij doctrinä in eo retinendam eſſe dixiſſet, Geometricæ enim demon-
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ſtrationes eiuſmodi ſunt, vt aſſenſum extorqueant, ac dubitationem om-
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nem excludant, nulloq; </
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<
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xml:space
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">modo quempiam ſinant ancipiti opinione diſtra-
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hi ſic, vt tum aſſentiatur, ſi velit, tum, ſi nolit, diſſentiat. </
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<
s
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xml:space
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">En cur Peletarius
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Nonij teſtimonio aliorũ iudicia cõtemnat, en pręclarum teſtimoniũ, quod
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Petrus Nonius eius demonſtrationibus dedit: </
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<
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xml:space
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">quò æquiore animo ferat,
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eas a me nihilo magis, quã ab illo ſuo approbatore, demõſtrationes putari.</
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<
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, quòd exiſtimare dixi Peletarium, angulum contingen-
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tiæ nihil eſſe, falſum eſſe, clamat: </
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<
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">Nuſquam enim dixiſſe ſe, nihil eſſe, ſed
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quantitatem non eſſe. </
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<
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">Ita ne vero? </
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<
s
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xml:space
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">at in prædicamento Quantitatis, quod
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neque eſt punctum, (quis enim inclinationem illam punctum eſſe dixerit?)
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</
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<
s
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">neque quantitas, quo alio nomine vocetur, quam Nihil? </
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<
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xml:space
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">Sed vt vt dixit,
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profecto non modo mirabile eſt, ſed monſtri in Geometria fimile, putare
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angulum contactus non eſſe quantitatem, qui poſtea additus alijs angulis
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efficiat curuilineum angulum rectilineo æqualem. </
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<
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xml:space
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">Quis enim vnquã Geo-
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metrarum id, quod quantitas non eſt, magnitudini adiunxit, vt æqualem
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eam alteri efficeret? </
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<
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xml:space
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">Prætereo, quod figura trilatera curuilinea intra tres
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circulos ſe mutuo tangentes concluſa nullum haberet angulũ ex Peleta-
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rij ſententia; </
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<
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">quia tres illi contactus, anguli non ſunt: </
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">cum tamen tribus di-
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uerſis lineis contineatur; </
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<
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xml:space
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">quod omnino nouum eſt, & </
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<
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">inauditũ apud Geo-
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metras. </
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<
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">Itemque, ſi quatuor, aut plures circuli ſe mutuo tangerent, vt fie-
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ret figura curuilinea quadrilatera, vel plurium laterum, illa nullum angu-
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lum haberet. </
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<
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">Atque etiam, ſi duæ lineæ rectæ angulum continentes, vnum
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eundemque circulum tangerent, trilatera illa figura habens tertium latus
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curuum, vnicum tantum haberet angulum. </
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<
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xml:space
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">Quæ omnia ſi ſunt abſurda,
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conſentanea non eſt opinio Peletarij. </
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<
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">Sed nimis fortaſſe multa ad Nihil
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illud Peletarij euertendum, ad quod tuendum ille nihil afferat. </
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<
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">Quoniam
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vero, ne pro Nihilo ſuo nihil agere videatur, quando res non poteſt, mea
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verba carpit, verba defendam: </
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<
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">quæ quidẽ ille neſcio quibus præſtigijs ita
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deprauat, vt dicere videar, nihil eſſe minus quocũq; </
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<
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">angulo: </
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<
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">atq; </
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<
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">(vt ſim-
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plicem, credo, hominẽ irretiat) quærit ex me, quod tãdem genus ſermonis
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ſit illud. </
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<
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<
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">Neque enim ego eiuſmodi
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ſermonem agnoſco, qui, nihil eſſe minus quocunque angulo, nuſquamdi-
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xerim, niſi ex ſententia Peletarij. </
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<
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">Sed videlicet homo vehemens, vt ſuum
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illud Nihil vlciſceretur, aliud mihi nihil affinxit, quo cum impune pugna-
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ret: </
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<
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<
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">quam ſibi placet hoc loco, dum meum il-
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lud argumentum, quo petitus fuerat, in me ipſum mira venuſtate conuer-
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tit? </
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_ctus angulo contactus maior eſt. </
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_uius eundẽ ponit minorẽ nihilo. </
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">Eſt igitur angulus contactus nihilo maior, et_
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_idẽ nihilo minor_] Mox quaſi Nihil illud ab ſe effictũ iugulaſſet, exclamat. </
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[_En Clauy argumenta, quæ vtrum tandem Peletary ſophiſmata ſunt, an_
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_Clauij potius ſigmenta, cum ipſe ſuum angulum contactus nihil eſſe dicat,_
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_non ego?_</
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<
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