Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Page concordance

< >
Scan Original
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001582">
                <pb pagenum="87" xlink:href="009/01/087.jpg"/>
              traedra (de quibus tamen Ariſt. loquitur) vt patet ex ſupra dictis. </s>
              <s id="s.001583">Indul­
                <lb/>
              geas Lector, ſi hoc loco neceſſe fuit in Geometriæ penetralia ingredi: ope­
                <lb/>
              ræpretium enim eſt aliquando ipſis Mathematicis ſatisfacere. </s>
              <s id="s.001584">tu verò, ſi
                <lb/>
              adeo es mathematicis imbutus, conſule poſtremas demonſtra. </s>
              <s id="s.001585">13. Elem. &
                <lb/>
              præcipuè ſcholium vltimum, vbi plura de his corporibus ſcitu digniſſima,
                <lb/>
                <expan abbr="atq;">atque</expan>
              huc ſpectantia reperies ex his omnibus Mathematica, quæ noſtræ ſunt
                <lb/>
              partes, perſpicuè ſatis expoſuimus.</s>
            </p>
            <p type="main">
              <s id="s.001586">Multo poſt tempore, quàm hæc ſcripſeram incidi fortè in cap. 38. ſpecu­
                <lb/>
              lationem 10. Benedicti de placitis Ariſt.
                <expan abbr="reperiq́">reperique</expan>
              ; ab eo vno Ariſt. hoc loco
                <lb/>
              erroris notari, dum aſſeruit duodecim pyramides replere
                <expan abbr="locũ">locum</expan>
              corporeum,
                <lb/>
              ideſt, vt exponit ipſe, ſex pyramides ſuper hexagonam aliquam figuram
                <lb/>
              ſuperficialem, & ſex ſub eadem, id præſtarent, cum potius maius vacuum
                <lb/>
              remaneat ad quamlibet partium ſupra, & infra, quam plenum. </s>
              <s id="s.001587">hæc ipſe. </s>
              <s id="s.001588">ſed
                <lb/>
              expoſitio iſta puerili, ne dum Ariſt. ingenio prorſus indigna eſt: vt propte­
                <lb/>
              rea exiſtimem caſu potius eum Ariſt. rectè reprehendiſſe, quam ex certa
                <lb/>
              ſcientia, cum illius erratum maiori errato conetur corrigere. </s>
              <s id="s.001589">Incidi po­
                <lb/>
              ſtremò in Indicem librorum, quem Maurolyius ſuæ Coſmographiæ præpo­
                <lb/>
              nit, vbi ſic ait: Demonſtramus autem in libello de figuris planis,
                <expan abbr="ſolidisq́">ſolidisque</expan>
              ;
                <lb/>
              locum replentibus, cubos per ſe, pyramides verò cum octaedris compactas
                <lb/>
              dumtaxat implere locum, qua in re Auerroem erraſſe pueriliter manifeſtum
                <lb/>
              erit. </s>
              <s id="s.001590">Vides igitur tanti viri auctoritate confirmari noſtram ſententiam, py­
                <lb/>
              ramides videlicet per ſe, non replere vacuum. </s>
              <s id="s.001591">cum igitur conſtet vnam tan­
                <lb/>
              tum ex figuris ſolidis, ſiue etiam dicas, vt perperam Ariſt. & alij plures exi­
                <lb/>
              ſtimarunt, replere totum ſolidum; nulla ratione poterunt
                <expan abbr="elemẽta">elementa</expan>
              quatuor,
                <lb/>
              quatuor diuerſis figuris indui, ſed vnum tantummodo, quare reliqua
                <expan abbr="abſq;">abſque</expan>
                <lb/>
              figura remanere neceſſe eſſet: quod eſt omnino inconueniens.</s>
            </p>
            <p type="main">
              <s id="s.001592">
                <arrow.to.target n="marg122"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001593">
                <margin.target id="marg122"/>
              122</s>
            </p>
            <p type="main">
              <s id="s.001594">Tex. 71
                <emph type="italics"/>
              (Deinde ſi terra eſt cubus &c.)
                <emph.end type="italics"/>
              lege definitiones 11. Elem. quæ ſunt
                <lb/>
              admodum faciles, ibi reperies definitiones quinque corporum regularium,
                <lb/>
              quorum figuras Plato elementis tribuebat: qua verò id ratione faceret, ha­
                <lb/>
              bes in ſphæra Clau. </s>
              <s id="s.001595">Simpl. etiam hoc loco ſatisfacit.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001596">
                <emph type="italics"/>
              Ex Quarto de Cœlo.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001597">
                <arrow.to.target n="marg123"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001598">
                <margin.target id="marg123"/>
              123</s>
            </p>
            <p type="main">
              <s id="s.001599">Tex. 33.
                <emph type="italics"/>
              (Deinde ad ſimiles videtur angulos ignis quidem ſurſum ferri,
                <lb/>
              terra autem deorſum, & omninò quod grauitatem habet, quare neceſſe
                <lb/>
              est ferri ad medium. </s>
              <s id="s.001600">hoc autem vtrum accidit ad ipſum terræ medium,
                <lb/>
              an ad vniuerſi, quoniam idem ipſorum ſit, alius ſermo eſt)
                <emph.end type="italics"/>
              cum vellet
                <lb/>
                <figure id="id.009.01.087.1.jpg" place="text" xlink:href="009/01/087/1.jpg" number="50"/>
                <lb/>
              probare Ariſtoteles dari
                <expan abbr="pũctum">punctum</expan>
              quoddam in medio
                <lb/>
              mundi, ad quod grauia deſcendant, & concurrent:
                <lb/>
              & à quo leuia aſcendat; vtitur, præter alias, etiam
                <lb/>
              ratione aliqua ex parte mathematica; quæ eſt huiuſ­
                <lb/>
              modi. </s>
              <s id="s.001601">videmus ignem, & cætera lęuia aſcendere à
                <lb/>
              terra ſurſum ad angulos æquales; ſimiliter videmus
                <lb/>
              terram, & cętera grauia deſcendere ad terram deor­
                <lb/>
              ſum ad angulos æquales, quod ſignum eſt omnia iſta
                <lb/>
              idem mundi medium reſpicere: v.g. ſit terra in figu­
                <lb/>
              ra præſenti circulus E C D, cuius medium, ſine </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum