DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N148BC" type="main">
              <s id="N14942">
                <pb xlink:href="077/01/125.jpg" pagenum="121"/>
              uiſſe ſcalenos, conſideranda eſt octaua propoſitio libri de co­
                <lb/>
              noidibus, & ſph æroidibus, in qua proponit Archimedes co­
                <lb/>
              num conſtituere, & inuenire, in quo ſitſectio ellipſis data, ver
                <lb/>
              tex autem coni in linea exiſtat a centro ellipſis ad
                <gap/>
              ectos angu
                <lb/>
              los ellipſis plano erecta. </s>
              <s id="N14954">Exqua conſtructione planè apparet,
                <lb/>
              Archimedem (vt ex eius demonſtratione conſtat) hoc in lo­
                <lb/>
              co 〈que〉rere, & inuenire conum proculdubio ſcalenum. </s>
              <s id="N1495A">vt
                <expan abbr="etiã">etiam</expan>
                <lb/>
              ex nona eiuſdem libri propoſitione perſpicuum eſſe poteſt; in
                <lb/>
              qua vt plurimùm conus inuenitur ſcalenus. </s>
              <s id="N14964">Ex quibus mani­
                <lb/>
              feſtiſſimè patet Archimedem non ſolùm de conis rectis,
                <expan abbr="verũ">verum</expan>
                <lb/>
              etiam de conis ſcalenis notitiam habuiſſe. </s>
              <s id="N1496E">Porrò ea verba, quę
                <lb/>
              refert Eutocius ex ſententia Heraclij, qui Archimedis vitam
                <lb/>
              literis mandauit; idipſum ſatis manifeſtant. </s>
              <s id="N14974">Heraclius enim
                <lb/>
              inquit Archimedem quidem
                <expan abbr="primũ">primum</expan>
              conica theoremata fuiſſe
                <lb/>
              aggreſſum; Apollonium verò, cùm ea inueniſſetab Archime
                <lb/>
              de nondum edita; tanquam eius propria edidiſſe. </s>
              <s id="N14980">quod qui­
                <lb/>
              dem etiam exipſiusmet Archimedis ſcriptis
                <expan abbr="cõfirmari">confirmari</expan>
              poteſt.
                <lb/>
              in libro nam〈que〉 de conoidibus, & ſphæroidibus ante
                <expan abbr="quartã">quartam</expan>
                <lb/>
              propoſitionem vbi Archimedes theorema proponit alibi de­
                <lb/>
              monſtratum, inquit,
                <emph type="italics"/>
              Hoc autem oſten ſum eſt in conicis elementis.
                <emph.end type="italics"/>
              in
                <lb/>
              principio etiam libri de quadratura paraboles, cùm nonnulla
                <lb/>
              propoſuiſſet; poſt tertiam propoſitionem ſcilicet, inquit
                <emph type="italics"/>
              De­
                <lb/>
              monſtrata autem ſunt hæc in elementis conicis.
                <emph.end type="italics"/>
              nonneigitur conſtat
                <lb/>
              Archimedem
                <expan abbr="elemẽta">elementa</expan>
              conica ſcripſiſſe? </s>
              <s id="N149AA">Obijciet verò aliquis,
                <lb/>
              non propterea conſtare, hęc elementa eonica, quorum me­
                <lb/>
              minit Archimedes, ipſiusmet eſſe Archimedis; cùm non affir
                <lb/>
              met, hæcfuiſſe ab ipſo demonſtrata. </s>
              <s id="N149B2">verùm illud in primis ma
                <lb/>
              nifeſtum eſt, tempore Archimedis conica elementa extitiſſe.
                <lb/>
              vt nonnulli Euclidem quatuor conicorum libros edidiſſe
                <expan abbr="af-firmãt">af­
                  <lb/>
                firmant</expan>
              ; ſicut Pappus in ſeptimo
                <expan abbr="Mathematicarũ">Mathematicarum</expan>
                <expan abbr="collectionuũ">collectionuum</expan>
                <lb/>
              libro aſſerit. </s>
              <s id="N149C8">Sed ex modo lo〈que〉ndi Archimedis planè
                <expan abbr="cõſtat">conſtat</expan>
                <lb/>
              hæc fuiſſe ab ipſo conſcripta. </s>
              <s id="N149D0">Nam quando Archimedes ali­
                <lb/>
              qua ſupponitab alijs demonſtrata,
                <expan abbr="tũc">tunc</expan>
              addere conſueuit, illa
                <lb/>
              ab alijs demonſtrata eſſe; vt in vndecima propoſitionedeco­
                <lb/>
              noidibus, & ſphæroidibus; cùm inquit.
                <emph type="italics"/>
              omnis coni ad conum pro­
                <lb/>
              portionem compoſitam eſſe ex proportione baſium, & proportione altitu­
                <lb/>
              dinum,
                <emph.end type="italics"/>
              quod quidem, quia ab alijs demonſtratum fuerat, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum