Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              ineſſe; ſic græcè,
                <foreign lang="grc">έκ τῶν κατὰ αληθείαν διαγεγραμμένον </foreign>
              vbi manifeſtè vtitur
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              verbo, Deſcribere, per quod ſuperius annotauimus apud Ariſt. ſignificari
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              Geometricas demonſtrationes, nam eas opponit dialecticis ſyllogiſmis, ſe­
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              quentibus verbis, cum dixit (ad dialecticos autem ſyllogiſmos ex propoſi­
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              tionibus ſecundum opinionem) hac adhibita conſideratione, quam inter­
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              pres non videtur adhibuiſſe, ſenſus huius loci non erit obſcurus.</s>
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              8</s>
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              <s id="s.000767">Ex eodem loco paulo poſt
                <emph type="italics"/>
              (Quare principia quidem, quæ ſecundum
                <expan abbr="vnum-quodq;">vnum­
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                quodque</expan>
              ſunt experimenti est tradere: dico autem, vt aſtrologicam experientiam
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              aſtrologicæ ſcientiæ: acceptis enim apparentibus
                <expan abbr="ſufficiẽter">ſufficienter</expan>
              , ita inuentæ ſunt aſtro­
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              logicæ demonstrationes)
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              Cum rationem tradat inueniendorum mediorum ad
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              quodlibet problema demonſtrandum; nunc docet, non omnia in ſcientijs
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              poſſe probari, aut demoνſtrari: principia enim ſcientiarum
                <expan abbr="nõ">non</expan>
              demonſtran­
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              tur, ſed ſola experientia manifeſta ſunt; vt patet in Aſtronomia, quæ ab ex­
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              perientia ſua ſolet ſtabilire principia: principijs autem
                <expan abbr="experimẽto">experimento</expan>
              conſti­
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              tutis ex ipſis reliqua problemata
                <expan abbr="demonſtrãtur">demonſtrantur</expan>
              . </s>
              <s id="s.000768">duo autem ſunt apud aſtro­
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              nomos genera experimenti, primum dicitur Phænomena, ideſt,
                <expan abbr="apparẽtiæ">apparentiæ</expan>
              ;
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              & ſunt ea, quæ vulgo omnibus patent, vt Solem oriri, & occidere; aſtra fer­
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              ri circulariter, diem augeri modo, modo minui: & his ſimilia. </s>
              <s id="s.000769">alterum ge­
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              nus dicitur obſeruationes, quæ tantummodo aſtronomiæ peritis per obſer­
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              uationem innoteſcunt, vt Solem inæqualiter ferri proprio motu per Zodia­
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              cum; aliquando maiorem, aliquando minorem videri; plures dies immo­
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              rari citra æquatiorem in parte Zodiaci boreali, quam in altera vltra æqua­
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              torem auſtrali. </s>
              <s id="s.000770">dies naturales eſſe inuicem inæquales, &c. </s>
              <s id="s.000771">ex quibus deinde
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              ponunt eccentricos, & augem, ad ſaluandas tum apparentias, tum obſerua­
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              tiones; & hac ratione aſtrologica ſcientia paulatim reperta eſt, ac in dies
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              reperitur.</s>
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              9</s>
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            <p type="main">
              <s id="s.000774">Ex cap. 3. ſecti 2. lib. 1.
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              (Vt an ne diameter incomm.)
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              loquitur de aſymme­
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              tria diametri, & coſtæ eiuſdem quadrati, de qua fusè egimus ſuperius in
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              cap. 23. ſecti 1. huius libri; quæ ſi repetantur, optimè hunc
                <expan abbr="locũ">locum</expan>
              declarant.</s>
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              10</s>
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            <p type="main">
              <s id="s.000777">Ex cap. 1. ſecti 3. lib. 1.
                <emph type="italics"/>
              (Sit A, duo recti, in quo B, triangulus, in quo C,
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              æquicrus, ipſi
                <expan abbr="itaq;">itaque</expan>
              C, ineſt A. per B; ipſi vero B, non amplius per aliud, per ſe
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              namque triangulus habet duos rectos)
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              nullum aliud exemplum tam frequenter
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              vſurpat Philoſophus, quam iſtud ex Mathematicis deſumptum de triangu­
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              lo, ſcilicet, omnis triangulus habet tres angulos æquales duobus rectis an­
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              gulis, cuius Demonſtratio eſt in 32. primi Elem. quod, vt probè intelliga­
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              tur, explicandum eſt penes quid attendenda ſit æqualitas inter angulum, &
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              angulum, quod facile aſſequemur, ſi meminerimus angulum eſſe inclinatio­
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              nem illam, quam duæ lineæ non in directum poſitæ faciunt: ſiue etiam (vt
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              melius percipiamus) angulum eſſe acumen illud, ſiue mucronem
                <expan abbr="illũ">illum</expan>
              , quem
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              duæ lineæ non in directum conſtitutæ faciunt, vt duarum linearum A B, A C,
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              inclinatio in puncto A, ſiue acumen illud, ſiue mucro,
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              eſt ratio anguli. </s>
              <s id="s.000778">ſolum igitur duo anguli erunt æqua­
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              les,
                <expan abbr="quãdo">quando</expan>
              vnius acumen æquale erit acumini alterius;
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              etiam ſi lineæ conſtituentes vnum angulum ſint lon­
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              giores lineis alterum angulum conſtituentibus, quia
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              quantitas anguli non attenditur penes longitudinem </s>
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