Clavius, Christoph
,
In Sphaeram Ioannis de Sacro Bosco commentarius
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Ioan. de Sacro Boſco.
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ra, & </
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<
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">æquiangula exiſtit, omnium eſſe maximam: </
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<
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">Eadem enim eſt ratio haben-
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da de figuris Iſoperimetris, quæ plura latera, pluresq́ue angulos continent.
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</
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<
s
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">Quamobrem, cum circulus infinita propemodum latera æqualia, infinitos
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quoque angulos quodammodo æquales comprehendat, eo quòd eius circun-
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ferentia ſemper curuetur æqualiter, efficitur, ut ſit inter omnes figuras Iſope-
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rimetras capaciſſimus. </
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<
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xml:space
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">Atque hiſce potiſſimum rationibus nituntur nonnullĩ
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<
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auctores confirmare, circulum eſſe maxime capacem: </
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<
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xml:space
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">Ex quibus manifeſtum ar
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bitror relinqui, quidnam ſibi uelit auctor noſter in ſecunda hac ratione de-
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ſumpta à commoditate, in qua mentionem ſecit figurarum Iſoperimetrarum.</
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<
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quoniam prædictæ rationes coniecturæ potius, quàm demonſtra-
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tiones ſunt appellandæ: </
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<
s
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echoid-s4125
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xml:space
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">Neque enim circulus angulos ullos, aut latera conti
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net, ex quibus componatur, quemadmodum in præfatis rationibus aſſumeba-
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tur: </
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<
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">Immo vero, etiamſi & </
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<
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">angulos, & </
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<
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xml:space
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">latera haberet propemodum infinita, nõ
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eſt tamen in uniuerſum demonſtratione confirmatum, eam ſemper figurã, quę
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plures habet angulos, ſiue latera, atque adeo eam, quæ & </
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<
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">latera & </
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<
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">angulos ha-
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bet æquales, inter iſoperimetras figuras eſſe capaciſſimam; </
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<
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xml:space
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">ſed hoc tantum oſtẽ
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ſum eſt in triangulo Iſoſcele, vel Æquilatero, ſi cum parallelogrãmo confe-
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ratur, & </
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<
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">in parallelogrammis; </
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<
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">non autem in figuris, quæ plura continent late-
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ra. </
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<
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">Idcirco non abs re me facturum iudicaui, ſi hoc loco interponam tractatio
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nem perbreuem de figuris Iſoperimetris, in qua euidentiſſime demonſtratur,
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circulum inter figuras planas iſoperimetras eſſe capaciſſimum; </
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ram maiorem eſſe omnibus aliis figuris ſolidis ſibi iſoperimetris. </
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<
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<
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</
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<
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">hæc omnia à Theone quoque in commentarijs, quos in Ptolemæi Almageſtũ
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compoſuit, Geometrice ſint confir
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mata; </
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<
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xml:space
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">tamen quia non omnibus in promptu
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habentur eius demonſtrationes, (Græcus enim tantum codex reperitur) & </
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obſcure admodum, atque ſuccincte ab eo omnia demonſtrantur; </
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<
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">deo cona-
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bor, quoad eius fieri poterit, aliquam lucem hiſce demonſtrationibus afferre,
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vt uel illis ſatisfeciſſe videamur, qui plurimum demonſtrationibus Geometri-
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cis delectantur. </
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<
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">Cæterum licet in hoctractatu ſolum demonſt@etur, ſphæram
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eſſe maiorem corpore quolibet ſibi Iſoperimetro, in quo ſphæra aliqua deſcri-
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bi poſſit, & </
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<
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">quod contineatur uel ſuperficiebus planis, uel conicis, ut ſuo loco
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apparebit: </
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">Pappus tamen idem de omnicorpore demonſtrauit 70. </
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nibus, quas hoc loco apponere ſuperuacaneum duximus, cum breui, ut ſpero,
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Pappus ipſe in latinam linguam conuerſus in lucem ſit proditurus.</
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<
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">DE FIGVRIS ISOPERIMETRIS.
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DEFINITIONES.
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I.</
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<
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figurę ſunt, quæ æquales ambitus
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nes ad tra
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ctationem-
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Iſoperime-
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trarum fi-
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gurarũ per
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tinentes.</
note
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continent.</
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<
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<
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figura dicitur ea, quæ & </
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æquiangula eſt.</
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