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>
        <front>
          <section>
            <table>
              <pb xlink:href="015/01/017.jpg"/>
              <row>
                <cell>CCIX.</cell>
                <cell>S
                  <emph type="italics"/>
                i ſuperficies rectangula in duas partes æquales diuiſa intelligatur, quæ am­bæ quadratæ ſint, itemque in duas inæquales, erit parallelipedum ex latere mediæ partis in totam ſuperficiem maius aggregato parallelipedorum ex partibus inæqualibus in latera alterius partis mutuo, in eo, quod fit ex dif ferentia lateris minoris partis à mediæ latere in differentiam maioris par­tis ſuperficiei à media ſuperficie bis, & ex differentia amborum laterum inæqualium iunctorum ad ambo latera, æqualia iuncta in minorem par­tem ſuperficiei.
                  <emph.end type="italics"/>
                </cell>
                <cell>241</cell>
              </row>
              <row>
                <cell>CCX.</cell>
                <cell>S
                  <emph type="italics"/>
                i duæ lineæ ad æquales angulos ab eodem puncto peripheriæ circuli refle­ctantur, neceſſe eſt angulos cum dimetiente factos æquales eſſe.
                  <emph.end type="italics"/>
                V
                  <emph type="italics"/>
                nde ma­nifeſtum eſt, protractam diametrum angulum ſuppoſitum per æqualia di­uidere.
                  <emph.end type="italics"/>
                </cell>
                <cell>242</cell>
              </row>
              <row>
                <cell>CCXI.</cell>
                <cell>S
                  <emph type="italics"/>
                i duæ lineæ ex duobus punctis peripheriam contingentes, in eandem par­tem protrahantur, ſemper magis diſtabunt inuicem ea ex parte, & nun­quam concurrent.
                  <emph.end type="italics"/>
                </cell>
                <cell>243</cell>
              </row>
              <row>
                <cell>CCXII.</cell>
                <cell>S
                  <emph type="italics"/>
                i ab eodem puncto ad circuli peripheriam lineæ quotuis ducantur, tres inue­nire lineas, quæ non in alium punctum reflectentur.
                  <emph.end type="italics"/>
                </cell>
                <cell>244</cell>
              </row>
              <row>
                <cell>CCXIII.</cell>
                <cell>P
                  <emph type="italics"/>
                ropoſito circulo, atque in eius peripheria puncto ſignato, lineas contingentes ultra cítraque, & eam ab ipſomet deducere.
                  <emph.end type="italics"/>
                </cell>
                <cell>245</cell>
              </row>
              <row>
                <cell>CCXIIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i extra circulum duo puncta æqualiter à centro diſtantia ſignentur, erit pun­ctum reflexionis æqualis in medio arcus intercepti inter lineas, quæ à cen tro ducuntur ad illa puncta.
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                i uerò unum centro proximius fuerit altero, punctum æqualitatis in peripheria tantò longius, uerſus breuiorem line­am, quantò punctum aliud à centro magis diſteterit.
                  <emph.end type="italics"/>
                </cell>
                <cell>245</cell>
              </row>
              <row>
                <cell>CCXV.</cell>
                <cell>P
                  <emph type="italics"/>
                unctum reflexionis punctorum inæqualiter diſtantium à centro, æqualiter diſtat à lineis, ductis à centro ad puncta æqualiter diſtantia alterutrin­que.
                  <emph.end type="italics"/>
                </cell>
                <cell>246</cell>
              </row>
              <row>
                <cell>CCXVI.</cell>
                <cell>S
                  <emph type="italics"/>
                i fuerint circuli duo inæquales, & extra utrunqúe punctum ad illud ex mi­nore reflexè per magnam partem minoris à maiore perueuire pote­runt.
                  <emph.end type="italics"/>
                </cell>
                <cell>247</cell>
              </row>
              <row>
                <cell>CCXVII.</cell>
                <cell>O
                  <emph type="italics"/>
                culus uidet partem ſuperficiei
                  <emph.end type="italics"/>
                L
                  <emph type="italics"/>
                unæ illuminatam à
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                ole per radios reflexos à
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                olis corpore: nec tamen poteſt uidere imaginem ipſius in
                  <emph.end type="italics"/>
                L
                  <emph type="italics"/>
                una tan quam in ſpeculo.
                  <emph.end type="italics"/>
                </cell>
                <cell>248</cell>
              </row>
              <row>
                <cell>CCXVIII.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem maculæ
                  <emph.end type="italics"/>
                L
                  <emph type="italics"/>
                unæ indagare.
                  <emph.end type="italics"/>
                </cell>
                <cell>248</cell>
              </row>
              <row>
                <cell>CCXIX.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem eorum quæ apparent circa
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                olem ſpeculo in aqua poſito decla­rare.
                  <emph.end type="italics"/>
                </cell>
                <cell>150</cell>
              </row>
              <row>
                <cell>CCXX.</cell>
                <cell>C
                  <emph type="italics"/>
                auſam cur
                  <emph.end type="italics"/>
                S
                  <emph type="italics"/>
                ol æſtiuis diebus exoriens umbram ad meridiem, cum in meridie ad boream mittat, explorare.
                  <emph.end type="italics"/>
                </cell>
                <cell>252</cell>
              </row>
              <row>
                <cell>CCXXI.</cell>
                <cell>M
                  <emph type="italics"/>
                agnitudo
                  <emph.end type="italics"/>
                L
                  <emph type="italics"/>
                unæ & cæterorum aſtrorum dignoſcitur ex proportione alio­rum ad eam iuxta diſtantiam: ipſius uerò iuxta rationem pupillæ ad
                  <emph.end type="italics"/>
                L
                  <emph type="italics"/>
                u­nam diſtantiæ ratione.
                  <emph.end type="italics"/>
                </cell>
                <cell>354</cell>
              </row>
              <row>
                <cell>CCXXII.</cell>
                <cell>Q
                  <emph type="italics"/>
                uantitates quæ æquales eſſe non poſſunt in eodem genere, maius tamen & minus recipiunt, ſunt in proportione poteſtatis.
                  <emph.end type="italics"/>
                </cell>
                <cell>255</cell>
              </row>
              <row>
                <cell>CCXXIII.</cell>
                <cell>Q
                  <emph type="italics"/>
                uantitates quæ actu æquales eſſe non poſſunt, in nulla proportione actu eſſe poſſunt.
                  <emph.end type="italics"/>
                </cell>
                <cell>256</cell>
              </row>
              <row>
                <cell>CCXXIIII.</cell>
                <cell>N
                  <emph type="italics"/>
                eque temporis totius, ut imaginamur, ipſum eſſe infinitum, neque æui ui­tarum proportio ulla eſt ad tempus, quod poteſtate eſt, utpotè diem
                  <emph.end type="italics"/>
                </cell>
                <cell/>
              </row>
            </table>
          </section>
        </front>
      </text>
    </archimedes>
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