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

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page |< < of 291 > >|
    <archimedes>
      <text>
        <front>
          <section>
            <table>
              <pb xlink:href="015/01/016.jpg"/>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                quartæ ad quintam quàm ſecundæ ad tertiam, neceſſe eſt quartam ſecunda eſſe maiorem.
                  <emph.end type="italics"/>
                </cell>
                <cell>214</cell>
              </row>
              <row>
                <cell>CLXXXVII.</cell>
                <cell>S
                  <emph type="italics"/>
                i eiſdem uiribus & ‘eadem’ proportione cum auxilio ponderis tertij quar­tum pondus moueatur quibus ſecundum, auxilio primi neceſſe eſt
                  <expan abbr="quartũ">quartum</expan>
                pon dus tardius & maiore cum difficultate moueri quàm ſecundum.
                  <emph.end type="italics"/>
                </cell>
                <cell>214</cell>
              </row>
              <row>
                <cell>CLXXXVIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i uires aliquæ moueant cum ponderibus aliqua pondera, ut compoſita pro­portio ſit eadem proportioni uirium & duorum ponderum mouentium ag­gregatum æquale duorum ponderum, ubi maior fuerit partium in æqualitas, ibi erit maior difficultas.
                  <emph.end type="italics"/>
                </cell>
                <cell>214</cell>
              </row>
              <row>
                <cell>CLXXXIX.</cell>
                <cell>S
                  <emph type="italics"/>
                i pondus minus ad longitudinem minorem ſub æquali proportione coapte­tar, facilius deorſum trahetur quàm quod maius eſt & propius.
                  <emph.end type="italics"/>
                </cell>
                <cell>215</cell>
              </row>
              <row>
                <cell>CXC.</cell>
                <cell>S
                  <emph type="italics"/>
                i fuerit primum graue minus ſecundo, & ſecundum minus tertio, proportio autem primi ad ſecundum multo maior quàm ſecundi ad tertium, poſibile erit propoſitis uiribus eiſdem addere pondus
                  <expan abbr="ſecũdo">ſecundo</expan>
                , ut ipſum & tertium mouea­tur faciliùs ab eiſdem uiribus, & primo uel ſecundo quàm antea.
                  <emph.end type="italics"/>
                </cell>
                <cell>215</cell>
              </row>
              <row>
                <cell>CXCL.</cell>
                <cell>C
                  <emph type="italics"/>
                um fuerint duo pondera & uires, duxerisque aggregatum ex uiribus & mi­nore pondere in maius, addiderisque inſuper quantum eſt productum dimidij ui rium in ſe latus aggregati detracto dimidio uirium, dicetur pondus auxiliare æqualis proportionis.
                  <emph.end type="italics"/>
                </cell>
                <cell>215</cell>
              </row>
              <row>
                <cell>CXCII.</cell>
                <cell>S
                  <emph type="italics"/>
                i ex medio diametri linea ad perpendiculum erigatur ad circuli peripheri­am, ex eo puncto autem quotlibet lineæ ducantur ſeu intus ad circun ferentiam uſque, ſeu extra ad diametrum, erit proportio totius lineæ ad totam uelut mu­tuo partis ad partem.
                  <emph.end type="italics"/>
                </cell>
                <cell>217</cell>
              </row>
              <row>
                <cell>CXCIII.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem ponderis triplicem explicare.
                  <emph.end type="italics"/>
                </cell>
                <cell>218</cell>
              </row>
              <row>
                <cell>CXCIIII.</cell>
                <cell>P
                  <emph type="italics"/>
                roportionem ponderis longioris in medio ſuſpenſi, ad breuius illi æquale & in medio ſuſpenſum declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>219</cell>
              </row>
              <row>
                <cell>CXCV.</cell>
                <cell>S
                  <emph type="italics"/>
                i lectus fiat dupla longitudine ad latitudinem, melius ſuffulcietur reſtibus ex medio ad angulos & eius æquidiſtantibus quàm ſecundum longitudinem & latitudinem.
                  <emph.end type="italics"/>
                </cell>
                <cell>220</cell>
              </row>
              <row>
                <cell>CXCVI.</cell>
                <cell>S
                  <emph type="italics"/>
                i duo circuli ſuper eodem centro eodem motu trans feruntur, æquale ſpacium ſuperant.
                  <emph.end type="italics"/>
                </cell>
                <cell>221</cell>
              </row>
              <row>
                <cell>CXCVII.</cell>
                <cell>C
                  <emph type="italics"/>
                ur lances ad locum ſuum ſuſpenſi redeant, impendentes
                  <expan abbr="nõ">non</expan>
                ,
                  <expan abbr="demõſtrare">demonſtrare</expan>
                .
                  <emph.end type="italics"/>
                </cell>
                <cell>224</cell>
              </row>
              <row>
                <cell>CXCVIII.</cell>
                <cell>C
                  <emph type="italics"/>
                ur ſolidum quod cubus uocatur
                  <emph.end type="italics"/>
                P
                  <emph type="italics"/>
                yramide ſtabilius ſit oſtendere.
                  <emph.end type="italics"/>
                </cell>
                <cell>225</cell>
              </row>
              <row>
                <cell>CXCIX.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem remorum nauim impellentium inuenire.
                  <emph.end type="italics"/>
                </cell>
                <cell>227</cell>
              </row>
              <row>
                <cell>CC.</cell>
                <cell>C
                  <emph type="italics"/>
                ur temo cum paruus ſit, magnam nauim agere poteſt, & cur cùm uarietas ſit in prora, ipſe conſtituatur in puppi.
                  <emph.end type="italics"/>
                E
                  <emph type="italics"/>
                t cum transuerſim ab aqua prematur rectà nauim dirigat.
                  <emph.end type="italics"/>
                </cell>
                <cell>228</cell>
              </row>
              <row>
                <cell>CCI.</cell>
                <cell>S
                  <emph type="italics"/>
                i duæ lineæ non ſecantes circuli peripheriam in unum punctum ex ea coe­ant exterius, neceſſe eſt illas peripheria contenta eſſe maiores.
                  <emph.end type="italics"/>
                </cell>
                <cell>229</cell>
              </row>
              <row>
                <cell>CCII.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem ſtrepitus oſtendere.
                  <emph.end type="italics"/>
                </cell>
                <cell>232</cell>
              </row>
              <row>
                <cell>CCIII.</cell>
                <cell>C
                  <emph type="italics"/>
                ur ſcytalis onera portentur faciliùs, explorare.
                  <emph.end type="italics"/>
                </cell>
                <cell>233</cell>
              </row>
              <row>
                <cell>CCIIII.</cell>
                <cell>C
                  <emph type="italics"/>
                ur pluribus trochleis, pondera facilius eleuentur oſtendere.
                  <emph.end type="italics"/>
                </cell>
                <cell>233</cell>
              </row>
              <row>
                <cell>CCV.</cell>
                <cell>S
                  <emph type="italics"/>
                uper uerbis
                  <emph.end type="italics"/>
                P
                  <emph type="italics"/>
                latonis de fine
                  <emph.end type="italics"/>
                R
                  <emph type="italics"/>
                eipublicæ.
                  <emph.end type="italics"/>
                </cell>
                <cell>234</cell>
              </row>
              <row>
                <cell>CCVI.</cell>
                <cell>R
                  <emph type="italics"/>
                hombi paßiones quaſdam declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>235</cell>
              </row>
              <row>
                <cell>CCVII.</cell>
                <cell>P
                  <emph type="italics"/>
                roportionem agentium naturalium in tranſmutatione conſiderare.
                  <emph.end type="italics"/>
                </cell>
                <cell>238</cell>
              </row>
              <row>
                <cell>CCVIII.</cell>
                <cell>M
                  <emph type="italics"/>
                ota res à centro grauitatis per
                  <expan abbr="priorẽ">priorem</expan>
                motum, in reditu uelocius mouetur quam ſi quieuerit.
                  <emph.end type="italics"/>
                </cell>
                <cell>238</cell>
              </row>
            </table>
          </section>
        </front>
      </text>
    </archimedes>
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