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 ...
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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id003494">
                <pb pagenum="205" xlink:href="015/01/224.jpg"/>
              c d uitæ quam is uicturus eſt, id eſt, annorum octuaginta, quam
                <expan abbr="cõ­">con­
                  <lb/>
                </expan>
                <arrow.to.target n="marg651"/>
                <lb/>
              ſtat eſſe breuiorem aliquanto. </s>
              <s id="id003495">Et proponatur error quadrageſimæ
                <lb/>
              partis in ipſa uita, quamuis ſit longe maior: quotuſquiſque enim eſt
                <lb/>
              qui non ſaltem edat bibatque quadrageſima parte, pluſquàm opor­
                <lb/>
              teat in comparatione ad naturam, id eſt, ut natura fatigatur quadra
                <lb/>
              geſima illa parte amplius quàm debeat: idem dico de laboribus, cu
                <lb/>
              ris, uigilijs, uenere. </s>
              <s id="id003496">Sed hoc non eſt generale: habetque multas exce­
                <lb/>
              ptiones inuicem pugnantes, ut tandem concludam non concoqui
                <lb/>
              plenè poſſe, & ob id impurum manere, unde citò diſſoluitur, & ca­
                <lb/>
              lorem etiam naturalem extinguit: atque etiam ob id, tum quia debi­
                <lb/>
              tos labores, & multo minus ad perfectam ætatem perferre
                <expan abbr="nõ">non</expan>
              poſ­
                <lb/>
              ſunt, denſari nequit & pingueſcere, ut duplici cauſa multo celerius
                <lb/>
              reſoluatur, una etiam calorem extinguat. </s>
              <s id="id003497">Sit ergo a e talis pars a b,
                <lb/>
              qualis c f, c d. </s>
              <s id="id003498">Cum ergo a b conſumi­
                <lb/>
                <figure id="id.015.01.224.1.jpg" xlink:href="015/01/224/1.jpg" number="217"/>
                <lb/>
              tur in octuaginta annis, ſemper ſeruat
                <lb/>
                <expan abbr="proportionẽ">proportionem</expan>
              cum uita contracta, quæ
                <lb/>
              æqualiter abſumitur: quia portiones
                <lb/>
              illæ æquales ſunt in minore inuicem ſicut in maiore, & inæquales
                <lb/>
              ſeruant eandem proportionem, ſumatur ergo a b annorum cclvij.
                <lb/>
              </s>
              <s id="id003499">menſium v. & abſumatur ſemper quantitas æqualis octuageſima
                <lb/>
              a e, & quadrageſima a b & reſiduorum.
                <lb/>
                <figure id="id.015.01.224.2.jpg" xlink:href="015/01/224/2.jpg" number="218"/>
                <arrow.to.target n="table27"/>
              </s>
            </p>
            <p type="margin">
              <s id="id003500">
                <margin.target id="marg650"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id003501">
                <margin.target id="marg651"/>
              P
                <emph type="italics"/>
              rop.
                <emph.end type="italics"/>
              179.
                <lb/>
              E
                <emph type="italics"/>
              t in cor.
                <emph.end type="italics"/>
              1.
                <lb/>
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              2.</s>
            </p>
            <table>
              <table.target id="table27"/>
              <row>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>A
                  <emph type="italics"/>
                n.
                  <emph.end type="italics"/>
                </cell>
                <cell>Q
                  <emph type="italics"/>
                uad.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell/>
                <cell>257</cell>
                <cell>20</cell>
                <cell>14</cell>
                <cell>168</cell>
                <cell>32</cell>
                <cell>28</cell>
                <cell>106</cell>
                <cell>25</cell>
                <cell>41</cell>
                <cell>65</cell>
                <cell>27</cell>
                <cell>54</cell>
                <cell>36</cell>
                <cell>6</cell>
                <cell>68</cell>
                <cell>13</cell>
                <cell>23</cell>
              </row>
              <row>
                <cell>1</cell>
                <cell>250</cell>
                <cell>0</cell>
                <cell>15</cell>
                <cell>163</cell>
                <cell>24</cell>
                <cell>29</cell>
                <cell>103</cell>
                <cell>0</cell>
                <cell>42</cell>
                <cell>63</cell>
                <cell>2</cell>
                <cell>55</cell>
                <cell>34</cell>
                <cell>10</cell>
                <cell>69</cell>
                <cell>12</cell>
                <cell>10</cell>
              </row>
              <row>
                <cell>2</cell>
                <cell>242</cell>
                <cell>30</cell>
                <cell>16</cell>
                <cell>158</cell>
                <cell>21</cell>
                <cell>30</cell>
                <cell>99</cell>
                <cell>17</cell>
                <cell>43</cell>
                <cell>60</cell>
                <cell>19</cell>
                <cell>56</cell>
                <cell>32</cell>
                <cell>16</cell>
                <cell>70</cell>
                <cell>10</cell>
                <cell>38</cell>
              </row>
              <row>
                <cell>3</cell>
                <cell>235</cell>
                <cell>28</cell>
                <cell>17</cell>
                <cell>153</cell>
                <cell>23</cell>
                <cell>31</cell>
                <cell>95</cell>
                <cell>38</cell>
                <cell>44</cell>
                <cell>58</cell>
                <cell>0</cell>
                <cell>57</cell>
                <cell>30</cell>
                <cell>24</cell>
                <cell>71</cell>
                <cell>9</cell>
                <cell>28</cell>
              </row>
              <row>
                <cell>4</cell>
                <cell>228</cell>
                <cell>33</cell>
                <cell>18</cell>
                <cell>148</cell>
                <cell>30</cell>
                <cell>32</cell>
                <cell>92</cell>
                <cell>23</cell>
                <cell>45</cell>
                <cell>55</cell>
                <cell>22</cell>
                <cell>58</cell>
                <cell>28</cell>
                <cell>34</cell>
                <cell>72</cell>
                <cell>8</cell>
                <cell>19</cell>
              </row>
              <row>
                <cell>5</cell>
                <cell>222</cell>
                <cell>5</cell>
                <cell>19</cell>
                <cell>144</cell>
                <cell>2</cell>
                <cell>33</cell>
                <cell>89</cell>
                <cell>11</cell>
                <cell>46</cell>
                <cell>53</cell>
                <cell>7</cell>
                <cell>59</cell>
                <cell>27</cell>
                <cell>6</cell>
                <cell>73</cell>
                <cell>7</cell>
                <cell>11</cell>
              </row>
              <row>
                <cell>6</cell>
                <cell>215</cell>
                <cell>23</cell>
                <cell>20</cell>
                <cell>139</cell>
                <cell>18</cell>
                <cell>34</cell>
                <cell>86</cell>
                <cell>2</cell>
                <cell>47</cell>
                <cell>50</cell>
                <cell>34</cell>
                <cell>60</cell>
                <cell>25</cell>
                <cell>19</cell>
                <cell>74</cell>
                <cell>6</cell>
                <cell>4</cell>
              </row>
              <row>
                <cell>7</cell>
                <cell>209</cell>
                <cell>8</cell>
                <cell>21</cell>
                <cell>135</cell>
                <cell>0</cell>
                <cell>35</cell>
                <cell>82</cell>
                <cell>36</cell>
                <cell>48</cell>
                <cell>48</cell>
                <cell>24</cell>
                <cell>61</cell>
                <cell>23</cell>
                <cell>34</cell>
                <cell>75</cell>
                <cell>4</cell>
                <cell>38</cell>
              </row>
              <row>
                <cell>8</cell>
                <cell>203</cell>
                <cell>0</cell>
                <cell>22</cell>
                <cell>130</cell>
                <cell>25</cell>
                <cell>36</cell>
                <cell>79</cell>
                <cell>34</cell>
                <cell>49</cell>
                <cell>46</cell>
                <cell>16</cell>
                <cell>62</cell>
                <cell>22</cell>
                <cell>11</cell>
                <cell>76</cell>
                <cell>3</cell>
                <cell>34</cell>
              </row>
              <row>
                <cell>9</cell>
                <cell>196</cell>
                <cell>37</cell>
                <cell>23</cell>
                <cell>126</cell>
                <cell>15</cell>
                <cell>37</cell>
                <cell>76</cell>
                <cell>35</cell>
                <cell>50</cell>
                <cell>44</cell>
                <cell>10</cell>
                <cell>63</cell>
                <cell>20</cell>
                <cell>29</cell>
                <cell>77</cell>
                <cell>2</cell>
                <cell>31</cell>
              </row>
              <row>
                <cell>10</cell>
                <cell>191</cell>
                <cell>1</cell>
                <cell>24</cell>
                <cell>122</cell>
                <cell>9</cell>
                <cell>38</cell>
                <cell>74</cell>
                <cell>0</cell>
                <cell>51</cell>
                <cell>42</cell>
                <cell>6</cell>
                <cell>64</cell>
                <cell>19</cell>
                <cell>9</cell>
                <cell>78</cell>
                <cell>1</cell>
                <cell>29</cell>
              </row>
              <row>
                <cell>11</cell>
                <cell>185</cell>
                <cell>10</cell>
                <cell>25</cell>
                <cell>118</cell>
                <cell>7</cell>
                <cell>39</cell>
                <cell>71</cell>
                <cell>6</cell>
                <cell>52</cell>
                <cell>40</cell>
                <cell>4</cell>
                <cell>65</cell>
                <cell>17</cell>
                <cell>30</cell>
                <cell>79</cell>
                <cell>0</cell>
                <cell>28</cell>
              </row>
              <row>
                <cell>12</cell>
                <cell>179</cell>
                <cell>25</cell>
                <cell>26</cell>
                <cell>114</cell>
                <cell>9</cell>
                <cell>40</cell>
                <cell>68</cell>
                <cell>15</cell>
                <cell>53</cell>
                <cell>38</cell>
                <cell>4</cell>
                <cell>66</cell>
                <cell>16</cell>
                <cell>13</cell>
                <cell>80</cell>
                <cell>0</cell>
                <cell>0</cell>
              </row>
              <row>
                <cell>13</cell>
                <cell>174</cell>
                <cell>6</cell>
                <cell>27</cell>
                <cell>110</cell>
                <cell>15</cell>
                <cell/>
                <cell/>
                <cell/>
                <cell/>
                <cell/>
                <cell/>
                <cell>67</cell>
                <cell>14</cell>
                <cell>37</cell>
                <cell/>
                <cell/>
                <cell/>
              </row>
            </table>
            <p type="main">
              <s id="id003502">Vt corrigas tabulam, ſcito quod numerus quadrageſimæ cum
                <lb/>
              ſuperiore annorum numero à leua componit numerum quadrage
                <lb/>
              ſimæ ſuperioris ſimpliciter, aut abiectis quadragenarijs. </s>
              <s id="id003503">Velut è
                <lb/>
              regione trigeſimi anni, ſunt anni nonaginta nouem, quad. </s>
              <s id="id003504">17 è
                <lb/>
              directo anni 29, ſunt anni 103, quad. </s>
              <s id="id003505">0. ad de 17 quad. </s>
              <s id="id003506">ad 103 fit 120,
                <lb/>
              abijce 40 ter, nil ſupereſt, & ita nulla eſt quadragenaria è regione
                <lb/>
              29 & 103.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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