Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

Table of figures

< >
[Figure 11]
Page: 28
[Figure 12]
Page: 28
[Figure 13]
Page: 28
[Figure 14]
Page: 29
[Figure 15]
Page: 29
[Figure 16]
Page: 29
[Figure 17]
Page: 30
[Figure 18]
Page: 30
[Figure 19]
Page: 31
[Figure 20]
Page: 31
[Figure 21]
Page: 32
[Figure 22]
Page: 32
[Figure 23]
Page: 32
[Figure 24]
Page: 33
[Figure 25]
Page: 33
[Figure 26]
Page: 33
[Figure 27]
Page: 34
[Figure 28]
Page: 34
[Figure 29]
Page: 35
[Figure 30]
Page: 35
[Figure 31]
Page: 36
[Figure 32]
Page: 41
[Figure 33]
Page: 41
[Figure 34]
Page: 42
[Figure 35]
Page: 43
[Figure 36]
Page: 45
[Figure 37]
Page: 45
[Figure 38]
Page: 46
[Figure 39]
Page: 46
[Figure 40]
Page: 47
< >
page |< < of 291 > >|
    <archimedes>
      <text>
        <front>
          <section>
            <table>
              <pb xlink:href="015/01/013.jpg"/>
              <row>
                <cell>CXXIII.</cell>
                <cell>C
                  <emph type="italics"/>
                ognita ratione umbræ ad gnomonem ſinum, & arcum altitudinis ab horizon­te, quouis tempore dignoſcere.
                  <emph.end type="italics"/>
                </cell>
                <cell>121</cell>
              </row>
              <row>
                <cell>CXXIIII.</cell>
                <cell>P
                  <emph type="italics"/>
                roportionem umbræ uerſæ eſſe ad gnomonem, uelut gnomonis ad umbram uerſam.
                  <emph.end type="italics"/>
                </cell>
                <cell>122</cell>
              </row>
              <row>
                <cell>CXXV.</cell>
                <cell>P
                  <emph type="italics"/>
                roportionem dimetientis, & peripheriæ cuiuslibet circuli paralleli æquino­ctiali per cognitam partem magni circuli demonſtrare.
                  <emph.end type="italics"/>
                </cell>
                <cell>123</cell>
              </row>
              <row>
                <cell>CXXVI.</cell>
                <cell>C
                  <emph type="italics"/>
                irculi horarij naturam declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>123</cell>
              </row>
              <row>
                <cell>CXXVII.</cell>
                <cell>D
                  <emph type="italics"/>
                ata poli altitudine ortus amplitudinem demonftrare.
                  <emph.end type="italics"/>
                </cell>
                <cell>124</cell>
              </row>
              <row>
                <cell>CXXVIII.</cell>
                <cell>N
                  <emph type="italics"/>
                ota amplitudine ortus, cuiuſque puncti arcum ſemidiurnum inuenire.
                  <emph.end type="italics"/>
                </cell>
                <cell>124</cell>
              </row>
              <row>
                <cell>CXXIX.</cell>
                <cell>D
                  <emph type="italics"/>
                ata altitudine
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                olis in quacunque regione, quacunque die diſtantiam
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                olis à meri­diano cognoſcere.
                  <emph.end type="italics"/>
                </cell>
                <cell>124</cell>
              </row>
              <row>
                <cell>CXXX.</cell>
                <cell>D
                  <emph type="italics"/>
                ata regionis altitudine, & loco
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                olis proportionem gnomonis, tam ad um­bram rectam quàm uerſam, uel etiam in cylindro determinare.
                  <emph.end type="italics"/>
                </cell>
                <cell>125</cell>
              </row>
              <row>
                <cell>CXXXI.</cell>
                <cell>S
                  <emph type="italics"/>
                i lineæ alicui duplum alterius adiungatur, erit proportio duarum ad primam maior quàm dupli cum prima ad primam cum una adiecta.
                  <emph.end type="italics"/>
                </cell>
                <cell>126</cell>
              </row>
              <row>
                <cell>CXXXII.</cell>
                <cell>S
                  <emph type="italics"/>
                i ad duas lineas quarum una alteri dupla ſit eadem linea addatur, erit aggrega­ti ex minore, & adiecta ad ipſam minorem, minor proportio quàm aggre­gati ex maiore, & adiecta ad ipſam maiorem duplicata.
                  <emph.end type="italics"/>
                </cell>
                <cell>126</cell>
              </row>
              <row>
                <cell>CXXXIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i fuerint duæ quantitates,
                  <expan abbr="quarũ">quarum</expan>
                una alteri dupla ſit: minuatur à minore quæ­dam quantitas,
                  <expan abbr="eadẽque">eadenque</expan>
                maiori addatur, erit minoris ad reſiduum maior pro­portio, quàm aggregati ad maiorem duplicata.
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                i uerò minori addatur, & à maiore detrabatur, erit aggregati ad minorem minor proportio quàm maioris ad reſiduum duplicata.
                  <emph.end type="italics"/>
                </cell>
                <cell>127</cell>
              </row>
              <row>
                <cell>CXXXIIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i rectangula ſuperficies ſit, cuius pars tertia quadrata ſit corpus, quod ex la­tere quadratæ in reſiduum ſuperficiei conſtat, maius eſt quouis corpore ex eadem ſuperficies, aliter diuiſa conſtituto.
                  <emph.end type="italics"/>
                </cell>
                <cell>127</cell>
              </row>
              <row>
                <cell>CXXXV.</cell>
                <cell>S
                  <emph type="italics"/>
                i linea in duas partes, quarum una fit alteri dupla diuidatur, erit quod fit ex tertia parte in quadratum reſidui parallelipedum maius omni pararalleli­pedo, quod ex diuiſione eiuſdem lineæ creari poßit.
                  <emph.end type="italics"/>
                </cell>
                <cell>128</cell>
              </row>
              <row>
                <cell>CXXXVI.</cell>
                <cell>D
                  <emph type="italics"/>
                enominationes in infinitum extendere.
                  <emph.end type="italics"/>
                </cell>
                <cell>129</cell>
              </row>
              <row>
                <cell>CXXXVII.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem numerorum ex progreßione declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>131</cell>
              </row>
              <row>
                <cell>CXXXVIII.</cell>
                <cell>M
                  <emph type="italics"/>
                odos uſus horum numerorum declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>131</cell>
              </row>
              <row>
                <cell>CXXXIX.</cell>
                <cell>R
                  <emph type="italics"/>
                adices omnes à propoſitis numeris extrahere.
                  <emph.end type="italics"/>
                </cell>
                <cell>132</cell>
              </row>
              <row>
                <cell>CXL.</cell>
                <cell>R
                  <emph type="italics"/>
                adices per numeros fractos determinare.
                  <emph.end type="italics"/>
                </cell>
                <cell>133</cell>
              </row>
              <row>
                <cell>CXLI.</cell>
                <cell>N
                  <emph type="italics"/>
                umeros fractos ad minores in ea
                  <expan abbr="iẽ">iem</expan>
                proportione ualde propinqud deducere
                  <emph.end type="italics"/>
                </cell>
                <cell>136</cell>
              </row>
              <row>
                <cell>CXLII.</cell>
                <cell>D
                  <emph type="italics"/>
                  <expan abbr="enominationũ">enominationum</expan>
                in
                  <expan abbr="cremẽta">crementa</expan>
                ex extrema cognita inuenire.
                  <emph.end type="italics"/>
                E
                  <emph type="italics"/>
                t
                  <expan abbr="cõuerſo">conuerſo</expan>
                modo.
                  <emph.end type="italics"/>
                </cell>
                <cell>137</cell>
              </row>
              <row>
                <cell>CXLIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i linea in duas partes diuidatur, corpora quæ fiunt ex una parte in alterius quadratum mutuo æqualia ſunt corpori, quod fit ex tota linea in ſuperfi­ciem unius partis in alteram.
                  <emph.end type="italics"/>
                </cell>
                <cell>138</cell>
              </row>
              <row>
                <cell>CXLIIII.</cell>
                <cell>D
                  <emph type="italics"/>
                uplum cubi medietatis maius eſt aggregato corporum mutuorum, cuiuslibet diuiſionis quantum eſt, quod fit ex tota in quadratum differentiæ.
                  <emph.end type="italics"/>
                </cell>
                <cell>139</cell>
              </row>
              <row>
                <cell>CXLV.</cell>
                <cell>S
                  <emph type="italics"/>
                i linea in duas partes diuidatur quadrata ambarum partium detracto eo, quod fit ex una parte in alteram, æqualia ſunt producto unius in alteram cum quadrato differentiæ.
                  <emph.end type="italics"/>
                </cell>
                <cell>139</cell>
              </row>
              <row>
                <cell>CXLVI.</cell>
                <cell>C
                  <emph type="italics"/>
                orpus quod fit ex linea diuiſa in ſuperficiem æqualem quadratis ambarum par tium detracta ſuperficie unius partis in alteram, eſt æquale aggregato cubo­rum ambarum partium.
                  <emph.end type="italics"/>
                </cell>
                <cell>139</cell>
              </row>
              <row>
                <cell>CXLVII.</cell>
                <cell>P
                  <emph type="italics"/>
                ropoſita linea diuiſa duas ei line as adijcere, ut proportio
                  <expan abbr="additarũ">additarum</expan>
                ſingularium
                  <emph.end type="italics"/>
                </cell>
                <cell/>
              </row>
            </table>
          </section>
        </front>
      </text>
    </archimedes>
Impressum