Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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plius dextrorſum progredi, quàm punctum E circuli mino
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ris quo illi correſpondet. </
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<
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">Poſita namque eadem reuolu
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tione, I exiſtente in M, ac C in L, A erit in V: con
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ſtitueretur enim tota diameter AIC in VML, in qua etiam
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linea eſſet punctum E, nempe in X. </
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<
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">Quod ſi compleatur
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rectangulum AV, ac rectangulum EX, erit ſpatium
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peragratum à puncto A dextrorſum idem, quod linea
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AM, vt deducitur ex eadem 34. propoſitione primi. </
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tium verò ſimiliter peragratum à puncto E, erit EM, quod
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continetur in illo. </
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<
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">Magis ergo progreditur A, quàm E. </
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">Id ipſum tandem demonſtratur de puncto B, quod cer
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tè magis progreditur quàm F. </
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<
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">Quandoquidem in deſcri
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pta reuolutione ſemidiameter IB conſtitueretur in MY in
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qua cum contineatur ſemidiameter IF, ipſum F conſtitue
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retur in Z: completiſque rectangulis BY, & BZ, erit ſpa
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tium dextrorſum peragratum à B quantum IY; peragra
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tum verò ab F; quantum IZ contentum in ipſo IY, quod
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propterea maius eſt. </
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">Erunt igitur duo puncta circuli maio
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ris, quæ minus dextrorſum progrediuntur, quàm puncta ſibi
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correſpondentia circuli minoris: alia verò duo quæ magis.
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</
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<
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">Quod etiam demonſtrari poterit de reliquis punctis eiuſ
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dem ſemicirculi cum ſuo correſpondenti in vtroque circulo
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ſi vterque bifariam ſecetur per diametrum 3, 4, cuius extre
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mitates nempe 3, & 4, in circulo maiori medient inter A,
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& D, ac inter B & C. </
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">Sicut in circulo minori extremita
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tes 5, 6. medient inter E, & H, ac inter F, & G. </
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<
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puncta omnia ſemicirculi inferioris 3 DC 4 in circulo
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maiori, minus progredi
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, quàm puncta ſemicircu
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li inferioris 5 HG 6 ſibi correſpondentis in circulo mino
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ri. </
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<
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">E contra verò omnia puncta ſemicirculi ſuperioris 3
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AB 4 magis progredi, quàm puncta correſpondentis ſemi
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circuli 5 EF 6 in circulo minori. </
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<
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">Ipſa tamen puncta ex
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trema diametri 3, 4 in circulo maiori, nec magis, nec mi
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nus, ſed æquè progredi conſpicientur, ac extrema diametri
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5, 6 in circulo minori. </
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<
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">Sicut enim per quàm facilè id po
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terit eadem ratione qua ſupra demonſtrari, ita hic de-</
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