Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.000861">
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              ab illo Hippocrate Coo medicorum Magiſtro, vt colligitur ex Alexandre
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              Aphrod. in Primum Meteororum de Cometis.</s>
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          <chap>
            <p type="head">
              <s id="s.000862">
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              Ex Primo Posteriorum reſolutoriorum.
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              <s id="s.000863">
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              <s id="s.000864">
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              18</s>
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              <s id="s.000865">Textu primo
                <emph type="italics"/>
              (Omnis doctrina, & omnis diſciplina diſcurſiua ex præexi­
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              ſtenti fit cognitione. </s>
              <s id="s.000866">manifeſtum autem hoc ſpeculantibus in omnibus,
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              Mathematicæ
                <expan abbr="namq;">namque</expan>
              ſcientiarum per hunc modum accedunt)
                <emph.end type="italics"/>
              quo mo­
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              do Mathematicæ fiant ex præcedenti cognitione, ſcilicet Princi­
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              piorum perſpicuè quilibet videbit, qui ſaltem primum
                <expan abbr="Elemẽtorum">Elementorum</expan>
              Eucli­
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              dis, vel è ianuis inſpexerit; pręcedunt enim primo principiorum tria gene­
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              ra, quorum primum continet definitiones ſubiecti Geometriæ, vt definitio­
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              nes lineæ, ſuperficiei, trianguli, &c: Secundum continet Poſtulata. </s>
              <s id="s.000867">Tertium
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              Axiomata, ſeu communes omnium conceptiones, & ſententias, ex quibus
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              tanquam ex vberrimis, & chriſtallinis fontibus Demonſtrationes Geome­
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              tricæ deriuantur. </s>
              <s id="s.000868">Idem vìdere licet in operibus aliorum Geometrarum,
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              Archimedis, Apollonij, Pappi, & cæterorum. </s>
              <s id="s.000869">Aliæ ſimiliter mathematicæ,
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              vt Arithmetica, Perſpectiua, Muſica, Mechanica, Aſtronomia, non niſt ex
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              præmiſſis, ac manifeſtiſsimis principijs ſuas demonſtrationes deducunt.
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              </s>
              <s id="s.000870">Nulla porrò alia ſcientia tam diſtinctè ſua præmittit principia,
                <expan abbr="tamq́">tamque</expan>
              ; per­
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              ſpicua, ſicuti Mathematicæ, vt non immeritò Philoſophus eas, tamquam
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              veræ ſcientiæ
                <expan abbr="typũ">typum</expan>
              ,
                <expan abbr="eumq́">eumque</expan>
              ; omnibus numeris abſolutum ſibi ob oculos pro­
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              poſuerit, ex quo veræ ſcientiæ deſcriptionem hiſce libris complecteretur.</s>
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              19</s>
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            <p type="main">
              <s id="s.000873">Tex. 2.
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              (Quod enim omne triangulum habet duobus rectis æquales, præſciuit:
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              quod autem hoc, quod eſt in ſemicirculo triangulum eſt, ſimul inducens cognouit)
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              vide primo, quæ ſupra libro 1. Prior. ſecto 3. cap. 1. explicaui de angulis
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              trianguli. </s>
              <s id="s.000874">deinde ſcias, quod quando Ariſt. ait, hoc, quod eſt in ſemicircu­
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              lo triangulum, &c. </s>
              <s id="s.000875">alludit ad demonſtrationem quandam, quam ipſe infe­
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              rius in exemplum adducet, & quæ eſt in 3. Elem. Euclidis 31. in qua talis fi­
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              gura proponitur qualis eſt præſens, in qua vides triangulum A B C. in ſe­
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                <figure id="id.009.01.046.1.jpg" place="text" xlink:href="009/01/046/1.jpg" number="15"/>
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              micirculo. </s>
              <s id="s.000876">tunc autem dicitur triangulum in
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              ſemicirculo, quando baſis ipſius eſt diameter
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              ſemicirculi, & reliqua duo latera ita concur­
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              runt ſimul in angulum B, vt ipſum pariter in
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              circumferentia conſtituant, quibus pręmiſsis
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              ſic textum explicaueris: quod enim omne
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              triangulum habet tres angulos æquales duo­
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              bus rectis angulis præſciuit vniuerſaliter per
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              32. primi; quod autem hoc particulare triangulum A B C, quod eſt in ſe­
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              micirculo habeat eandem proprietatem, ſimul, ac quiſpiam animaduertit
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              illud eſſe triangulum cognoſcit,
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              vlla demonſtratione, ſed ſolum virtu­
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              te illius maioris propoſitionis; omne triangulum habet tres, &c.</s>
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              20</s>
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            <p type="main">
              <s id="s.000879">Tex. 5.
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              (Vera quidem igitur oportet eſſe, quoniam non eſt non ens ſcire, vt quod
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              diameter ſit commenſurabilis)
                <emph.end type="italics"/>
              conſule ea, quæ ſcripſimus ad cap. 23. primi
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              Priorum, ſecto 1. ſine quibus locus hic ſatis intelligi nequit; ijs autem per­
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              ceptis ſic
                <expan abbr="locũ">locum</expan>
              hunc explicare poſſumus, cum diameter quadrati ſit </s>
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          </chap>
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