Theodosius <Bithynius>; Clavius, Christoph
,
Theodosii Tripolitae Sphaericorum libri tres
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_& </
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<
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">circunferentia circunferentiæ circuli eiuſdem, & </
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<
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">anguli, qui à ſimili-_
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_bus ſimiliter iacentibus lineis comprehenſi ſunt. </
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<
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xml:space
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">Horum autem dico, quòd_
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_quæ æqualia data fuerint, ſibi inuicem congruũt._</
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<
s
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">] Nonne luce clarius ex his
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colligitur, Proclum illos ſolum angulos contactus concedere æquales,
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quorum rectæ lineæ, & </
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<
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<
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xml:space
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">Temere igitur Pele-
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tarius mihi obijcit angulum rectilineum & </
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">circuilineum, triangulum & </
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quadratum, atque alia huiuſmodi, de quibus eo loco ſermo non erat; </
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<
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">quip-
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pe quæ non ſint eiuſdem ſpeciei, atque adeo æqualitatem tueantur, etiamſi
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alterum alteri non congruat. </
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<
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">Vtiam vereri incipiam, ne Peletarius noſter
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contentionis ſit cupidior, quàm veritatis.</
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<
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<
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">POSTREMO, vt nihil intactum relinquat, me non modo Geo-
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metriæ ignarum vocat, ſed etiam Logices: </
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<
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<
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">dixi, non
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recte à quibuſdam diuidi Proportionem rationalem in proportionẽ æqua-
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litatis, atque inæqualitatis? </
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<
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">quòd multæ proportiones inæqualitatis ſint
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etiam irrationales. </
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<
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">Ego vero (etſi non is ſum, qui mihi quicquã vllo in ge-
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nere arrogem) tamen in hiſce ſtudijs, in quibus mediocriter verſatus ſum,
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planè rudem non eſſe, præ me ſemper tuli. </
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<
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">Quantulum autem ſit id, quod
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in vtroq; </
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<
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">poſſim, cæteri melius, qui vacant amore, & </
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letario quidem ipſi ita me adhuc reſpõdiſſe arbitror, vt iam minus fortaſſe
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ignarus Geometriæ, ac Dialecticæ videar, quàm putarat. </
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ciat, neq; </
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<
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">illa, quæ exagitat, à Dialecticorũ præ-
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ceptis abhorrere, libẽter ei concedo, diuiſionẽ illam, quam à me reprehen
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ſam criminatur, probã eſſe, ita tamen, ſi in quolibet diuiſionis membro Di-
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uiſum intelligatur: </
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<
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<
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">vero hoc vnquã negaui, cum alibi ſimiles diuiſio-
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nes vſurpem. </
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<
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">Solũ id eo loci contẽdi, rectius meo iudicio, diuidi Propor-
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tionem in vniuerſum duplici diuiſione, priori quidem in proportionem ra
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tionalem, & </
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<
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">poſteriori vero in proportionẽ æqualitatis, atq;
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</
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<
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">inæqualitatis, (quod veriſsimum eſſe, neminem negaturum cenſeo, qui
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rem diligentius expenderit) cum tam priora duo membra diuidẽtia, quam
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poſteriora totum Diuiſum (vt Logici loquuntur) exhauriant: </
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prius membrum prioris diuiſionis, hoc eſt, proportio rationalis, ſecetur in
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proportionem æqualitatis, & </
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latius pateant, quam Diuiſum, niſi in illis Diuiſum intelligatur. </
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magis duplex illa diuiſio mihi probatur, quòd non deſint, qui primum par-
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tiantur Proportionem in proportioneẽ æqualitatis, & </
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riorem deinde hanc in proportionem rationalem, & </
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rio ſcilicet modo, quàm priores. </
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">Vt igitur hanc controuerſiam dirimerem,
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ac dubitationem, vtri rectius faciant, priores ne an poſteriores, tollerem,
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ſt atui duabus diuiſionibus ſecandam eſſe Proportionem, quarum vtraque
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abſolutiſsima eſt, ac perfectiſsima. </
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<
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">Non aliter arbitror, omnes magis eſſe
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probaturos, ſi corpus duplici diuiſione ſecetur, primum quidem in viuens,
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& </
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<
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<
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quam ſi corpus viuens diuidatur in album, nigrum, ac mixto colore affe-
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ctum; </
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<
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