Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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DE MECHAN.
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171
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0171
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<
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xml:space
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">Super hac tertia ſpecie formari poteſt problema, vnde fiat, vt quieſcens huiuſ-
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modi rota parallela orizonti ſuper vnum punctum, & quantò fieri poteſt exiſtens
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qualis</
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, ſi eam circunuoluamus maiore qua poterimus ui, &
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poſtea dimitten-
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tes non perpetuò circunuoluatur.</
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<
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<
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xml:space
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">Hoc quidem, quatuor fit ob cauſas. quarum prima eſt, quia huiuſmodi motus, eius
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rotæ non ſit naturalis. </
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<
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xml:space
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">ſecunda eſt, quia etiamſi rota ſuper punctum mathematicum
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quieſceret, oporteret tamen vt ſuperius
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haberet polum, qui ipſam
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teneret, qui quidem munimento aliquo corporeo indigeret; </
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<
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xml:space
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">vnde fricatio quędam
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conſequeretur, ex qua reſiſtentia prodiret.</
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<
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<
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xml:space
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">Tertia eſt, quia aer contiguus eam perpetuò aſtringit,
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modo eius motui
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reſiſtit.</
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<
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<
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">Quarta eſt, quia quęlibet pars corporea, quę à ſe mouetur, impetu eidem à quali-
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bet extrinſeca virtute mouente impręſſo, habet naturalem inclinationem ad rectum
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iter, non autem curuum, vnde ſi à dicta rota particula aliqua ſuę circunferentiæ
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geretur, abſque dubio per aliquod temporis ſpatium pars ſeparata recto itinere fer
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retur per aerem, vt exemplo à fundis, quibus iaciuntur lapides, ſumpto, cognoſce
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re poſsumus, in quibus, impetus motus impręſſus naturali quadam propenſione
<
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rectum iter peragit, cum euibratus lapis, per lineam rectam contiguam giro, quem
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primo faciebat, in puncto, in quo dimiſſus fuit, rectum iter inſtituat, vt rationi con-
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ſentaneum eſt.</
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<
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xml:space
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">Eadem, quoque ratione fit, vt quantò maior eſt aliqua rota, tantò maiorem quo
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que impetum, & impreſſionem motus eius circunferentiæ partesrecipiant, vnde
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pe</
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euenit, vt dum eam ſiſtere volumus, id
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labore & cum diſſicultate agamus ; </
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<
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">quia
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quantò maior eſt diameter vnius circuli, tantò minus curua eſt eiuſdem circunferen
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tia, & tantò propius accedit angulum eiuſdem circunferentiæ ad quantitatem duo-
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rum angulorum rectorum rectilineorum, ideſt circunferentia ad rectitudinem linea
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rem. </
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<
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xml:space
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">Vnde earundem partium dictæ circunferentiæ motus ad inclinationem ſibi à
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natura tributam, quæ eſt incedendi per lineam rectam, magis accedit.</
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<
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">Quod Aristotelis ratio none queſtionis
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admittendanon ſit.</
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<
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xml:space
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">VEra ratio nonæ quęſtionis à ſecunda parte decimi cap. huius tractatus, & non
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aliunde, accerſiri debet.</
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<
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style
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xml:space
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">Quod Aristotelis rationes de decima queſtione
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ſint reijciende.</
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<
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xml:space
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">CAP. XVI.</
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<
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xml:space
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">ARiſtotelis rationes, vnde fiat, vt facilius moueantur libræ vacuæ, quàm plenè
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ad propoſitam diſputationem non pertinent; </
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<
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xml:space
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">quia ſemper ineunda eſt ratio
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proportionis virtutis mouentis ſuper mobile; </
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<
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xml:space
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">quod ipſe non fecit.</
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