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="015/01/010.jpg"/>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                ducetur.
                  <emph.end type="italics"/>
                V
                  <emph type="italics"/>
                nde manifeſtum eſt duas proportiones minores æqualitate
                  <expan abbr="inuicẽ">inuicem</expan>
                du ctas proportionem minorem unaquaque illarum producere.
                  <emph.end type="italics"/>
                </cell>
                <cell>30</cell>
              </row>
              <row>
                <cell>XXXVII.</cell>
                <cell>S
                  <emph type="italics"/>
                i plures homines, quorum per ſe nauim mouere poßint, aut pondus ferre ſimul iuncti eam moueant, aut pondus ferant, erunt illæ proportiones coniunctæ non productæ.
                  <emph.end type="italics"/>
                </cell>
                <cell>30</cell>
              </row>
              <row>
                <cell>XXXVIII.</cell>
                <cell>O
                  <emph type="italics"/>
                mne corpus tantum reſiſtit motui contrario ſuo natúrali, quantum mouetur oc­culto motu quieſcendo.
                  <emph.end type="italics"/>
                </cell>
                <cell>31</cell>
              </row>
              <row>
                <cell>XXXIX.</cell>
                <cell>A
                  <emph type="italics"/>
                b æquali aut minore ui quàm ſit impedimentum non fit motus.
                  <emph.end type="italics"/>
                </cell>
                <cell>31</cell>
              </row>
              <row>
                <cell>XL.</cell>
                <cell>O
                  <emph type="italics"/>
                mne corpus ſphæricum tangens planum in puncto mouetur ad latus per quam­cunque uim, quæ medium diuidere poteſt.
                  <emph.end type="italics"/>
                </cell>
                <cell>31</cell>
              </row>
              <row>
                <cell>XLI.</cell>
                <cell>S
                  <emph type="italics"/>
                i fuerint duæ quantitates ſumaturque toties
                  <expan abbr="aggregatũ">aggregatum</expan>
                maioris & minoris, quo­ties aggregatum minoris & maioris, erit proportio confuſa maioris aggregati ad minus, minor quam multiplicis maioris ad multiplex minoris.
                  <emph.end type="italics"/>
                </cell>
                <cell>32</cell>
              </row>
              <row>
                <cell>XLII.</cell>
                <cell>T
                  <emph type="italics"/>
                rahentium nauim, aut ferentium pondera proportiones in ſe inuicem, quomodo ducere oporteat conſiderare.
                  <emph.end type="italics"/>
                </cell>
                <cell>32</cell>
              </row>
              <row>
                <cell>XLIII.</cell>
                <cell>P
                  <emph type="italics"/>
                roductionem ad additionem retrahere.
                  <emph.end type="italics"/>
                </cell>
                <cell>33</cell>
              </row>
              <row>
                <cell>XLIIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i fuerit proportio motoris ad id quod eſt maximum non mouens, & ſpatium & tempus, nota erit etiam reliquorum nota.
                  <emph.end type="italics"/>
                </cell>
                <cell>33</cell>
              </row>
              <row>
                <cell>XLV.</cell>
                <cell>R
                  <emph type="italics"/>
                ationem ſtateræ oſtendere.
                  <emph.end type="italics"/>
                </cell>
                <cell>34</cell>
              </row>
              <row>
                <cell>XLVI.</cell>
                <cell>A
                  <emph type="italics"/>
                n ſit aliqua proportio & qualis inter animam & uitas, & ſua corpora conſide­rare.
                  <emph.end type="italics"/>
                </cell>
                <cell>35</cell>
              </row>
              <row>
                <cell>XLVII.</cell>
                <cell>S
                  <emph type="italics"/>
                i duo mobilia æqualister in eodem circulo iuxta proprios motus moueantur, pro­ductum temporis circuituum inuicem, erit æquale producto differentiæ tempo rum circuitus ductæ in tempus coniunctionis primæ.
                  <emph.end type="italics"/>
                </cell>
                <cell>36</cell>
              </row>
              <row>
                <cell>XLVIII.</cell>
                <cell>S
                  <emph type="italics"/>
                i tria mobilia ex eodem puncto diſcedant, fuerintque duorum ac duorum coniun­ctiones in temporibus commenſis, illa tria mobilia denuo coniungentur in tem pore producto ex denominatore diuiſionis temporis maioris per minus in mi­nus aut numeratore in maius.
                  <emph.end type="italics"/>
                </cell>
                <cell>37</cell>
              </row>
              <row>
                <cell>XLIX.</cell>
                <cell>P
                  <emph type="italics"/>
                ropofitio mobilis in circulo circuitus tempore dataque ratione diſtantiæ ab illo mo bilis circuitum inuenire, quod ex
                  <expan abbr="eodẽ">eodem</expan>
                puncto diſcedens
                  <expan abbr="cũalio">cunalio</expan>
                mobili in dato puncto
                  <expan abbr="cõueniat">conueniat</expan>
                ſub
                  <expan abbr="quocũque">quocunque</expan>
                numero
                  <expan abbr="circuituũ">circuituum</expan>
                  <expan abbr="tẽpus">tempus</expan>
                quoque
                  <expan abbr="cõiunctionis">coniunctionis</expan>
                .
                  <emph.end type="italics"/>
                </cell>
                <cell>39</cell>
              </row>
              <row>
                <cell>L.</cell>
                <cell>O
                  <emph type="italics"/>
                mnes circuituum portiones in eiſdem temporibus repetuntur.
                  <emph.end type="italics"/>
                </cell>
                <cell>40</cell>
              </row>
              <row>
                <cell>LI.</cell>
                <cell>O
                  <emph type="italics"/>
                perationes dictas exemplo declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>41</cell>
              </row>
              <row>
                <cell>LII.</cell>
                <cell>T
                  <emph type="italics"/>
                ria mobilia coniuncta in
                  <expan abbr="eodẽ">eodem</expan>
                puncto, quorum duo & duo conueniant in partib. incommenſis inter ſe, in perpetuum in nullo unquam puncto conuenient.
                  <emph.end type="italics"/>
                </cell>
                <cell>42</cell>
              </row>
              <row>
                <cell>LIII.</cell>
                <cell>C
                  <emph type="italics"/>
                irculorum ſe in aduerſum mouentium proportionem declarare.
                  <emph.end type="italics"/>
                </cell>
                <cell>43</cell>
              </row>
              <row>
                <cell>LIIII.</cell>
                <cell>P
                  <emph type="italics"/>
                roportio circuli ad ſuum diametrum per ſimilitudinem eſt quarta pars periphe­riæ.
                  <emph.end type="italics"/>
                R
                  <emph type="italics"/>
                urſusque eiuſdem circuli ad peripheriam diametri quarta pars.
                  <emph.end type="italics"/>
                </cell>
                <cell>44</cell>
              </row>
              <row>
                <cell>LV.</cell>
                <cell>P
                  <emph type="italics"/>
                roportionem medicamentorum per ordines ſup poſita æquali proportione in or­dinibus per quantitates & proportiones demonſtrare.
                  <emph.end type="italics"/>
                </cell>
                <cell>44</cell>
              </row>
              <row>
                <cell>LVI.</cell>
                <cell>P
                  <emph type="italics"/>
                roportio cuiuſuis binomij ad ſuum reciſum, uel ei commenſum eſt duplicata ei quæ ad numeri latus.
                  <emph.end type="italics"/>
                </cell>
                <cell>49</cell>
              </row>
              <row>
                <cell>LVII.</cell>
                <cell>M
                  <emph type="italics"/>
                otus rationem ad pondus inuenire.
                  <emph.end type="italics"/>
                </cell>
                <cell>49</cell>
              </row>
              <row>
                <cell>LVIII.</cell>
                <cell>Q
                  <emph type="italics"/>
                uæ ex alto deſcendunt, cur non eandem pro diſtantia motus rationem in libero aëre ſeruent conſiderare.
                  <emph.end type="italics"/>
                </cell>
                <cell>49</cell>
              </row>
              <row>
                <cell>LIX.</cell>
                <cell>O
                  <emph type="italics"/>
                mne mobile motum duobus motibus non ad idem tendentibus utroque ſeorſum tar dius mouetur ſimili motu.
                  <emph.end type="italics"/>
                </cell>
                <cell>50</cell>
              </row>
              <row>
                <cell>LX.</cell>
                <cell>O
                  <emph type="italics"/>
                mne mobile motu naturali deſcendentis parte, deſcendit grauiore ſecundum gra­
                  <emph.end type="italics"/>
                </cell>
                <cell/>
              </row>
            </table>
          </section>
        </front>
      </text>
    </archimedes>
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