Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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petere deſinat, virum oſtendam, qui cum, ſi velit, certare cum laude poſ-
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ſit. </
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<
s
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xml:space
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">Ego vt oſtenderem, angulum contactus, ex Euclidis ſententia, verè eſ-
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ſe angulum, & </
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<
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xml:space
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">angulum ſemicirculi angulo recto rectilineo minorem, ita
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ſum argumentatus. </
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<
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xml:space
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">Si Euclides ſenſiſſet, angulum contactus nihil prorſus
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eſſe, (hoc eſt, vt Peletarius intelligit, non eſſe angulum, vel non eſſe quan-
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titatem) & </
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<
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xml:space
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">angulum ſemicirculi æqualem recto rectilineo; </
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<
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xml:space
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">quid, obſecro,
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tantopere deſudaſſet, vt demonſtraret, angulum contactus eſſe minorem
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omni acuto rectilineo, angulum vero ſemicirculi maiorem? </
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<
s
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xml:space
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">Quid enim cla
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rius, quàm nihil, cuiuſmodi eſt angulus contactus, ex Peletarij ſententia,
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hoc eſt, quàm id, quod quantitas non eſt, minus eſſe quocunque angulo?
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</
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<
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xml:space
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">Quid rurſus magis perſpicuum, quàm angulum rectum, qualem ponit Pe-
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letarius angulum ſemicirculi, maiorem eſſe quolibet acuto? </
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<
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xml:space
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">Agnoſcat
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itaque Peletarius, Nihil illud ſuum male à nobis acceptum, idque ita
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vlciſcatur, vt meum hoc argumentum refellat: </
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<
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xml:space
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">in quo ego ſi angulum
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contactus dixi eſſe nihil, & </
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<
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xml:space
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">non potius eum nihil eſſe aſſerui ex ſenten-
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tia Peletarij, libenter manus dabo. </
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<
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xml:space
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">Videtur Peletarius aut non intelle-
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xiſſe meum argumentum, aut intelligere noluiſſe: </
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<
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xml:space
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">niſi eum quis dicat, de-
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dita opera verba mea voluiſſe cauillari; </
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<
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xml:space
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">quod & </
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<
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">plerisque alijs in locis
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facere videtur. </
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<
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xml:space
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">Nunquam enim dixi, angulum contactus minorem eſſe, aut
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maiorem nihilo: </
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<
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xml:space
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">Solum affirmaui, angulum contactus quemcunque mino-
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rem eſſe, aut maiorem aliquo alio angulo contactus, quem non ego dixi
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nihil eſſe, ſed Peletarius, eundemque Euclides minorem quolibet acuto
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rectilineo recte demonſtrauit. </
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<
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xml:space
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">Vt autem intelligat Peletarius, me, quod
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ipſe negat, didiciſſe Dialecticam, illum ipſum tam lepidum, atque acu-
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tum ſyllogiſmum, quo Nihil illud ab ſe cõfictum mira venuſtate confixit,
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pauliſper conſiderabimus; </
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<
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xml:space
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">vt quàm ſuo iure Dialecticæ ignaros alios vo-
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cet, appareat. </
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<
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xml:space
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">Nam mihi quidem male tornatus ille ipſe ſyllogiſmus vide-
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<
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xml:space
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">Paralogif-
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mus Pele-
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tarij inſi-
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gnis.</
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tur, incudique reddendus. </
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<
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xml:space
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">Etenim cum verſetur in tertia figura, in eo ma-
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ior extremitas, (vt Dialectici loquuntur) quæ eſt, Nihil, de minori, quę eſt,
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angulo contactus maior, in recto prædicari deberet, hoc pacto. </
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<
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">Angulus
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contactus nihil eſt: </
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<
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">Igitur
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aliquid, quod angulo contactus maius eſt, nihil eſt. </
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<
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xml:space
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">Quæ quidem con-
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cluſio recte ſequitur ex præmiſsis, quarum prior Peletarij eſt, non mea,
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poſterior autem mea, & </
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<
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<
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">Concluſio autem illa
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Peletarij, Angulus igitur maior nihilo eſt, nulla ratione ex præmiſsis in-
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ferri poteſt. </
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<
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xml:space
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">Nam ſi, angulum cum dicit, intelligit Peletarius angulum con
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tactus, aſſumitur medius terminus, qui in vtraq; </
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nefas eſſe, Ariſtoteles in prioribus Anal. </
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<
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">Dialectici omnes clamant. </
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<
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">Si
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autem alium angulum intelligit, aſſumitur in concluſione terminus, cuius
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nulla facta eſt mentio in præmiſsis: </
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<
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">quod nihilo magis licere, nemo eſt tam
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plumbeus in Dialecticis, qui neſciat. </
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<
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xml:space
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">Neque contendat Peletarius, men-
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tionem factam eſſe anguli in minore extremitate, vbi dictum eſt, angulum
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contactus angulo contactus maiorem eſſe. </
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<
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xml:space
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">Nam angulus in minore extre-
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mitate poſitus eſt in obliquo, qui in concluſione ſubijcitur in recto: </
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