Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.002638">
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              redibit ad priorem poſitionem in M A. </s>
              <s id="s.002639">Tardius autem fertur M A, quàm
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              B A, vt dictum eſt, quia maior illi fit retractio à recta progreſſione. </s>
              <s id="s.002640">Sit igi­
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              tur linea A B, mota vſque ad locum A L F, & à puncto L, ducatur L Q, per­
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              pendicularis ipſi A B, in minori circulo. </s>
              <s id="s.002641">& rurſus ducatur L S, parallela ei­
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              dem A B, & à puncto S, in maiori circulo ducatur S T, perpendicularis ei­
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              dem B A, necnon F X. erunt igitur S T, L Q, latera rectanguli T L, æqualia
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              per 34. primi. </s>
              <s id="s.002642">erit poſtea B T, minor quam M Q, quia æquales rectæ S T,
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              L Q, ductæ à circunferentia ad diametrum perpendiculares in circulis in­
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              æqualibus, ea quæ eſt in maiori circulo minorem reſecat diametri portio­
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              nem, quàm quæ in minori.</s>
            </p>
            <p type="main">
              <s id="s.002643">In quanto autem tempore ipſa A L, lata eſt per circunferentiam M L, in
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              tanto temporis ſpatio in maiori circulo B, extremum ipſius B A, latum erit
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              per maiorem arcum quàm ſit B S; iam conſiderandum eſt motus vtriuſque
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              lineæ in hoc caſu æquales eſſe, ſunt enim deſcripti per lineas æquales T S,
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              Q L, quæ ſunt rectæ; tam enim linea B A, quàm M A, naturali motu recta
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              tenderet, vt dictum eſt,
                <expan abbr="peragraſſetq́">peragraſſetque</expan>
              ; illa rectam T S: hæc verò rectam Q L.
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              </s>
              <s id="s.002644">Verum lationes innaturales ſunt impares, latio enim B T, breuior eſt M
                <expan abbr="q.">que</expan>
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              quantitate autem B T, retracta eſt B A, à motu ſibi naturali, & recto: quan­
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              titate verò M Q, retracta eſt M A, vnde apparet motu hoc violento magis
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              retractam eſſe minorem M A, quàm maiorem B A, quod erat primo de­
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              clarandum.</s>
            </p>
            <p type="main">
              <s id="s.002645">Quod autem ob id A B, maior cęlerius mota ſit motu naturali, quàm mi­
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              nor M A, palàm fiet. </s>
              <s id="s.002646">quia enim oportet
                <expan abbr="vtramq;">vtramque</expan>
              lineam maiorem, & mi­
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              norem eadem vi motam, confeciſſe binos illos motus proportionales, ideſt
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              ita ſe debet habere motus naturalis maioris ad motum innaturalem eiuſ­
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              dem, quemadmodum ſe habet motus naturalis minoris ad motum innatu­
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              ralem eiuſdem: Oportet ergo, vt ſi A B, & A M, ſunt eadem vi commotæ,
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              vt ſit eadem ratio T S, ad Q L, quæ eſt B T, ad M Q, non eſt autem, vt oſten­
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              ſum eſt; ergo linea A B, eadem vi commota, ac M A, conficit pluſquam
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              B S, ſed neceſſariò peruenit ad F. hoc enim in puncto erunt prædicti motus
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              proportionales, vt oportet, erit enim motus naturalis in maiori perpendi­
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              cularis F X, & innaturalis B X, in minori verò naturalis L Q, innaturalis
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              M
                <expan abbr="q.">que</expan>
              quod ſi ducantur rectè B F, M L, apparebunt duo triangula æquian­
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              gula B X F, M Q L, & erunt per 4. 6. vt F X, ad B X. ita L Q, ad M Q, &
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              permutando erunt etiam vt F X, ad L Q, ita B X, ad M
                <expan abbr="q.">que</expan>
              ideſt, vt motus
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              naturalis ad naturalem, ita innaturalis ad innaturalem. </s>
              <s id="s.002647">In alio autem lo­
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              co præter F, non erunt eædem proportiones.</s>
            </p>
            <p type="main">
              <s id="s.002648">Ex quibus patere ſatis poteſt, cur A B, longior à centro velocius mouea­
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              tur quàm minor M A, ſeu cur puncta eiuſdem B A, velocius vertuntur, quo
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              longius abſunt à centro A, ideſt maiorem arcum B F, peractum eſſe à B,
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              quàm ſit arcus M L, peractus ab M, quod erat oſtendendum.</s>
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            <p type="main">
              <s id="s.002649">Atque hic eſt diſcurſus ille Ariſt. quo putat ſe cauſam aperuiſſe, cur lon­
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              gior ſemidiameter velocius moueatur: quod num rectè attigerit, non puto
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              operæpretium eſſe hoc loco diſcutere, præſertim cum ad naturalem Philo­
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              ſophum ſpectet.</s>
            </p>
            <p type="main">
              <s id="s.002650">Mihi tamen maximè conſiderandum videtur hoc ipſum quod aſſeruit, & </s>
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          </chap>
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