Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.001096">
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              huc te ipſum conuertere, & videbis paulatim lumen oculo tuo decreſcere
                <lb/>
              non aliter ac in Luna ſeneſcente. </s>
              <s id="s.001097">
                <expan abbr="atq;">atque</expan>
              hoc eſt ſphæricè illuminari, fierique
                <lb/>
              ſphærica illuminationis augmenta. </s>
              <s id="s.001098">cum ergo videamus Lunam eo modo lu­
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              mine augeri, quo ſphæra, hinc ipſam
                <expan abbr="quoq;">quoque</expan>
              ſphæricam eſſe argumentamur.</s>
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              49</s>
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              <s id="s.001101">Poſt nonnulla (
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              Vt Perſpectiua ad Geometriam, & Mechanica ad Stereome­
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              tricam, & Harmonica ad Arithmeticam, vt Apparentia ad Aſtrologicam
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              ) ſupra
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              tex. 20. exempla ſubalternationum Perſpectiuæ, & Mechanicæ cum Geo­
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              metria ſunt allata. </s>
              <s id="s.001102">hic primo notandum Stereometriam non eſſe ſcientiam
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              diſtinctam à Geometria, niſi ſicuti partem à toto: nam cum Geometria
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              conſideret quantitatem, ſecundum tres dimenſiones, longitudinem, latitu­
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              dinem, & profunditatem, oritur triplex illius diuiſio, de lineis, de ſuperfi­
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              ciebus, de ſolidis. </s>
              <s id="s.001103">pars igitur, quæ de ſolidis tractat,
                <expan abbr="partimq́">partimque</expan>
              ; continetur
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              11. 12. 13. 14. & 15. Euclidis, partim aliorum Geometrarum libris, vt li­
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              bro Archim. de Sphæra, & Cyl. & ſimilibus, dicitur Stereometria à græco
                <lb/>
                <foreign lang="grc">στερεον,</foreign>
              ideſt ſolidum. </s>
              <s id="s.001104">Porrò cur malit Ariſt. Mechanicam ſubalternari Ste­
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              reometriæ, quam toti Geometriæ, qua tamen, vt videre eſt apud Archime­
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              dem, innititur, fortè ea ratio eſt, quia Mechanica præcipuè conſiderat ma­
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              chinas, quæ corpora ſunt, & propterea præcipuè, & primò debet Stereome­
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              triæ, quæ corpora pariter contemplatur, ſubalternari. </s>
              <s id="s.001105">Quod ait Apparen­
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              tia ad Aſtrol. </s>
              <s id="s.001106">intelligit per Apparentia vulgarem quandam Nautarum, &
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              Agricolarum aſtronomiam, quæ quodammodo ſubalternatur, & pendet ex
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              ſcientia Aſtrologiæ; indiget enim cognitione ortus, & motus aſtrorum,
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              præſertim Lunæ, Hyadum, Pleiadum, & Canis. </s>
              <s id="s.001107">Reliqua
                <expan abbr="vſq;">vſque</expan>
              ad finem ca­
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              pitis optimè à Zabarella explicantur,
                <expan abbr="neq;">neque</expan>
              ad nos pertinet, cum de Mathe­
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              maticis agant, quatenus ad Logicum ſpectant.</s>
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              50</s>
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            <p type="main">
              <s id="s.001110">Poſt nonnulla (
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              Hic enim ipſum quidem quod ſenſitiuorum eſt ſcire, ipſum ve­
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              rò Propter quid Mathematicorum; hi
                <expan abbr="namq;">namque</expan>
              habent cauſarum demonſtrationes,
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              &c.
                <emph.end type="italics"/>
              ) ſenſus eſt in ſubalternatis, & dependentibus diſciplinis, quas ſenſitiuas
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              appellat, quia de rebus ſenſibilibus ſunt, vt in Perſpectiua de obiectis viſibi­
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              libus, & in Muſica de ſonis cognoſcitur Quod, ideſt effectus: cuius effectus
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              cauſa, ſeu Propter quid ſcitur auxilio Mathematicarum, ideſt, traditur à
                <lb/>
              ſcientijs ſubalternantibus. </s>
              <s id="s.001111">v. g. alicuius effectus in Perſpectiua cauſa inqui­
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              ritur, & inuenitur ope Geometriæ, cui illa ſubiacet. </s>
              <s id="s.001112">Hic obiter notandum,
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              Ariſt. fateri manifeſtè Mathematicas ſubalternatas, ſeu medias oſtendere
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              per cauſas, quas ſubalternantium ope perueſtigant.</s>
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              51</s>
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              <s id="s.001115">Et poſtea (
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              Se habet autem & ad Perſpectiuam, vt hæc ad Geometriam, alia ad
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              hanc, vt quod eſt de Iride ipſum enim quod Naturalis eſt ſcire, ipſum verò Prop­
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              ter quid Perſpectiui
                <emph.end type="italics"/>
              ) ſicut ſe habet, inquit,
                <expan abbr="ſciẽtià">ſcientià</expan>
              Naturalis de Iride ad Per­
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              ſpectiuam, ita Perſpectiua ad Geometriam. </s>
              <s id="s.001116">qua verò ratione cauſa Iridis
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              pertineat ad opticam,
                <expan abbr="atq;">atque</expan>
              hine tandem ad Geometriam, optimè patebit
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              in Meteoris, cum ipſius demonſtrationem afferemus.</s>
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              52</s>
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              <s id="s.001119">Tex. 37. (
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              Vt æquicruri, & Scaleno hoc, quod eſt duobus rectis æquales habere
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              ſecandum commune aliquod ineſt
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              ) quid ſit habere tres æquales duobus rectis
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              ſatis explicatum eſt lib. r. </s>
              <s id="s.001120">Priorum ſecto 3. cap. r. </s>
              <s id="s.001121">nunc igitur paraphraſim
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              ſolum huius loci dabo. </s>
              <s id="s.001122">Triangulo Iſoſceli, & Scaleno convenit paſſio illa,
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              habere tres angulos æquales duobus rectis angulis ſecundum aliquod </s>
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