Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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attingere: hoc tamen diſcrimine, quod circulus deferens
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illas attingit commenſuratiuè, & adæquatè, circulus verò
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delatus nonniſi inadæquatè. </
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<
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">Sicut enim circulus deferens
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ſiue maior ſit, ſiue minor conſtat ex infinitis partibus inde
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terminatis, quæ mediant inter infinita puncta, ita etiam cir
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culus delatus, per eaſque non minus attingere poterit infi
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nitas partes, quæ ſunt in plano. </
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inadæquatè. </
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">Nam contactus adæquatus, & commenſura
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tus duarum quantitatum, fit per æqualem applicationem
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partium æqualium vtriuſque quantitatis ad coexiſtendum
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ſimul in eodem ſpatio loci: partes autem æqualiter appli
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cari non poſſunt per lationes inæquales, nam ea eſt inæqua
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litas in applicatione, quæ eſt in ipſis lationibus, ſiue lationes
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cadant in vtramque quantitatem, ſiue in alteram tantùm.
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">Quapropter cum tota applicatio partium circumferentiæ
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ad attingendas partes plani ſuper quod rotatur, fiat tum ex
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vi ipſius rotationis, qua ſucceſſiuè ipſæ partes inclinantur
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ad illas, tum ex vi motus recti quo ſucceſſiuè etiam progre
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diendo ad eaſdem perueniunt: hinc fit, vt ſi lationes ipſæ
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æqualiter procedant, quemadmodum in motu mixto circuli
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deferentis, aut alterius per ſe ſeorſum rotantis, æqualiter
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etiam alterius quantitatis partes, ad partes alterius appli
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centur, ac ſe tangendo ad inuicem commenſurentur, &
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adæquentur: E contra verò ſi non procedant æqualiter ip
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ſæ lationes, ſed vna alteram excedat in velocitate, aut tardi
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tate, vt in motu mixto cuiuſlibet circuli delati, inæqualiter
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etiam partes ipſius ad partes plani applicentur, ac inadæ
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quatè adinuicem commenſurentur. </
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<
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">Quod ſi non poſſit coexiſtere in ſpatio, exempli gratia
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bipalmari cum linea recta bipalmari arcus circumferentiæ
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palmaris, vel tripalmaris, quacunque rotatione ad inuicem
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applicentur; hoc profectò intelligitur in quiete, atque in
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termino ipſius motus: alioquin in tranſitu, ac ſucceſsiuè id
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nullo modo repugnat, ſicutnec punctum globi rectà ſuper
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planum delati poſt punctum ipſius plani, attingere partem
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diuiſibilem eiuſdem plani, eique coexiſtendo inadæquatè </
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