Blancanus, Josephus, Sphaera mvndi, sev cosmographia demonstratiua , ac facile methodo tradita : in qua totius Mundi fabrica, vna cum nouis, Tychonis, Kepleri, Galilaei, aliorumq' ; Astronomorum adinuentis continentur ; Accessere I. Breuis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest Geometrica tractatio de Echo. IV. Nouum instrumentum ad Horologia

Table of figures

< >
[Figure 81]
Page: 126
[Figure 82]
Page: 127
[Figure 83]
Page: 129
[Figure 84]
Page: 130
[Figure 85]
Page: 136
[Figure 86]
Page: 138
[Figure 87]
Page: 139
[Figure 88]
Page: 140
[Figure 89]
Page: 142
[Figure 90]
Page: 149
[Figure 91]
Page: 150
[Figure 92]
Page: 151
[Figure 93]
Page: 158
[Figure 94]
Page: 160
[Figure 95]
Page: 162
[Figure 96]
Page: 165
[Figure 97]
Page: 167
[Figure 98]
Page: 170
[Figure 99]
Page: 171
[Figure 100]
Page: 172
[Figure 101]
Page: 175
[Figure 102]
Page: 182
[Figure 103]
Page: 183
[Figure 104]
Page: 184
[Figure 105]
Page: 185
[Figure 106]
Page: 186
[Figure 107]
Page: 191
[Figure 108]
Page: 201
[Figure 109]
Page: 202
[Figure 110]
Page: 209
< >
page |< < (61) of 300 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div124" type="section" level="1" n="82">
          <pb o="61" file="0081" n="85" rhead="Liber Septimus."/>
          <p>
            <s xml:id="echoid-s6008" xml:space="preserve">26 Puer per iocum interrogatus vtra grauior eſſet, librane vna plumbi, an vna aquæ, vel ſtupæ; </s>
            <s xml:id="echoid-s6009" xml:space="preserve">reſpon-
              <lb/>
            dit grauiorem eſſe cæteris libram plumbi, ob idque adſtantes ſubriſere: </s>
            <s xml:id="echoid-s6010" xml:space="preserve">Verum enim vero reſponſionem
              <lb/>
            eius tueri hac ratione poſſumus. </s>
            <s xml:id="echoid-s6011" xml:space="preserve">ſciendum enim eſt duplicem eſſe alicuius corporis grauitatem; </s>
            <s xml:id="echoid-s6012" xml:space="preserve">vnam ipſius
              <lb/>
            particularem, & </s>
            <s xml:id="echoid-s6013" xml:space="preserve">propriam, ſecundum quam dicimus hæc plumbea ſphæra pendet libras 10. </s>
            <s xml:id="echoid-s6014" xml:space="preserve">vel vnam, &</s>
            <s xml:id="echoid-s6015" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s6016" xml:space="preserve">Alteram vero non ipſius corporis propriam ſed totius generis, aut naturæ communem, ſecundum quam di-
              <lb/>
            ci ſolet plumbum eſt grauius ligno, ferro, aqua, &</s>
            <s xml:id="echoid-s6017" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6018" xml:space="preserve">tunc autem genus vnum grauius altero cenſetur, cum
              <lb/>
            accepta ex vtroque æquali mole, altera grauior ſit: </s>
            <s xml:id="echoid-s6019" xml:space="preserve">ſic quia ex duabus æqualibus ſphæris, vna plumbea, lignea
              <lb/>
            altera, plus pendit ſiue grauior eſt plumbea, ideo dicimus naturam plumbi grauiorem eſſe natura ligni, ferri,
              <lb/>
            aquæ, &</s>
            <s xml:id="echoid-s6020" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6021" xml:space="preserve">qua diſtinctione allata dicam Puerum loquutum eſſe de grauitate generica, non autem de particu-
              <lb/>
            lari. </s>
            <s xml:id="echoid-s6022" xml:space="preserve">prætera ſi in codem vaſe ſimul vna libra aquæ, & </s>
            <s xml:id="echoid-s6023" xml:space="preserve">vna libra plumbi ponantur, nonne plumbum infra
              <lb/>
            aquam deſcendet? </s>
            <s xml:id="echoid-s6024" xml:space="preserve">nonne igitur libra plumbi libra aquæ grauior?</s>
            <s xml:id="echoid-s6025" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6026" xml:space="preserve">27 Eſt ne idem corpusæque graue in aere, & </s>
            <s xml:id="echoid-s6027" xml:space="preserve">in aqua, alioue humido? </s>
            <s xml:id="echoid-s6028" xml:space="preserve">Reſp. </s>
            <s xml:id="echoid-s6029" xml:space="preserve">grauius eſſe in aere leuius
              <lb/>
            in aqua, in aqua enim demerſa leuiora ſunt quam in aere, quantum eſt pondus tantũdem aquæ, ſiue quantum
              <lb/>
            eſt pondus aquæ æqualis molis cum illo corpore graui, ſiue quæ occuparet eundem locum, quem graue illud
              <lb/>
            occupat porrò grauia triplicia ſunt; </s>
            <s xml:id="echoid-s6030" xml:space="preserve">alia in aqua omnino demerguntur, atque hæc ſunt natura grauiora quam
              <lb/>
            aqua; </s>
            <s xml:id="echoid-s6031" xml:space="preserve">alia in aqua nec deſcendunt ad fundum, neque parte vlla ſupra aquam eminent, vbicumque poſita
              <lb/>
            fuerint; </s>
            <s xml:id="echoid-s6032" xml:space="preserve">quæ quidem æque grauia eſſe, atque aqua neceſſe eſt. </s>
            <s xml:id="echoid-s6033" xml:space="preserve">tertia partim eminent atque in genere leuio-
              <lb/>
            ra ſunt aqua: </s>
            <s xml:id="echoid-s6034" xml:space="preserve">hiſce tamen tantumdem aquæ, quanta eſt pars corporis demerſa, ſiue quantum eſt totum cor-
              <lb/>
            pus totaliter demerſum, toti graui æqueponderat. </s>
            <s xml:id="echoid-s6035" xml:space="preserve">hęc omnia quamuis Archimedes in lib. </s>
            <s xml:id="echoid-s6036" xml:space="preserve">de ijs quæ vehun-
              <lb/>
            tur in aqua acutiſſime demonſtrauerit, poſſumus tamen nos eadem practice comprobare, ponderando vide-
              <lb/>
            licet iſthæc grauia ſolida in aqua, hoc modo. </s>
            <s xml:id="echoid-s6037" xml:space="preserve">Corpus quod ponderandum eſt ſeta equina ex altera librę lance
              <lb/>
            appendatur, in altera vero lance ponantur pondera; </s>
            <s xml:id="echoid-s6038" xml:space="preserve">ſic corpus appenſum demittatur in aquam, ita vt libe-
              <lb/>
            rè pendeat, reliqua vero tota libra aquam minime contingat, in quo ſtatu diligenter corpus illud pondere-
              <lb/>
            tur ac ſi in aere eſſet; </s>
            <s xml:id="echoid-s6039" xml:space="preserve">manifeſtũ enim apparebit illud minus quam in aere pendere, quantum eſt pondus aquę
              <lb/>
            æqualis molis. </s>
            <s xml:id="echoid-s6040" xml:space="preserve">ſi totum demergatur, & </s>
            <s xml:id="echoid-s6041" xml:space="preserve">tamen nihil pendat, ſig num eſt eſſe in genere æquè graue, atq; </s>
            <s xml:id="echoid-s6042" xml:space="preserve">humi-
              <lb/>
            dum. </s>
            <s xml:id="echoid-s6043" xml:space="preserve">ſi partim extiterit, pariter lancem non trahet deorſum. </s>
            <s xml:id="echoid-s6044" xml:space="preserve">ex Marino Ghetaldo in Promoto Archimede.
              <lb/>
            </s>
            <s xml:id="echoid-s6045" xml:space="preserve">ſeta equina æquè grauis eſt atq; </s>
            <s xml:id="echoid-s6046" xml:space="preserve">aqua, ideo nihil variabit corporis ponderandi grauitatem.</s>
            <s xml:id="echoid-s6047" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6048" xml:space="preserve">28 Qua ratione ſciri poteſt cuiuſuis humidi pondus, etiamſi ipſum non ponderetur? </s>
            <s xml:id="echoid-s6049" xml:space="preserve">Reſpondeo cor-
              <lb/>
            pus ſolidum dato humido grauius ponderetur in aere prius, deinde in humido: </s>
            <s xml:id="echoid-s6050" xml:space="preserve">quanto enim in humido
              <lb/>
            minus pendet, tantumdem etiam pendet alterum tantum illius humidi, quantum eſt ipſum. </s>
            <s xml:id="echoid-s6051" xml:space="preserve">hac ratione
              <lb/>
            poſſumus plurium aquarum pondus experiri, vt quæ ſit leuior, ac proinde ſanior conſtet, ea enim leui or
              <lb/>
            erit in qua idem pondus pluſquam in alijs grauitabit. </s>
            <s xml:id="echoid-s6052" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6053" xml:space="preserve">Sic corpus aqua leuius in pluribus aquis immitta-
              <lb/>
            tur, in qua enim magis demerg etur, ea leuior cæteris erit; </s>
            <s xml:id="echoid-s6054" xml:space="preserve">in qua vero plus emerget, ea grauior. </s>
            <s xml:id="echoid-s6055" xml:space="preserve">Sic & </s>
            <s xml:id="echoid-s6056" xml:space="preserve">qui-
              <lb/>
            dem exactiſſimè, adſit primo vas humido quopiam plenum: </s>
            <s xml:id="echoid-s6057" xml:space="preserve">globulo deinde cereo tantum plumbi addatur,
              <lb/>
            vtin eo humido nec ſupernatet, nec deſcendat, ſed vbiq; </s>
            <s xml:id="echoid-s6058" xml:space="preserve">in eo quieſcat; </s>
            <s xml:id="echoid-s6059" xml:space="preserve">ſic enim erit æquè grauis ac humi-
              <lb/>
            dum. </s>
            <s xml:id="echoid-s6060" xml:space="preserve">iam ſi in alio quouis humore poſitus, deſcenderit, is erit priori humido leuior; </s>
            <s xml:id="echoid-s6061" xml:space="preserve">ſi vero ſupernatauerit
              <lb/>
            grauior, ſi quieuerit, æquè grauis. </s>
            <s xml:id="echoid-s6062" xml:space="preserve">imo hac ratione experiri poteris eandem aquam, modo grauiorem eſſe,
              <lb/>
            modo leuiorem, pro ambientis aeris frigore, aut calore. </s>
            <s xml:id="echoid-s6063" xml:space="preserve">Ex prædictis manifeſta eſt cauſa, cur Hydria dum
              <lb/>
            ex puteo aqua hauritur non grauitet, quouſque extra aquam emerſerit.</s>
            <s xml:id="echoid-s6064" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6065" xml:space="preserve">29 Cur vas plumbeum, & </s>
            <s xml:id="echoid-s6066" xml:space="preserve">concauum, quamuis ſit aqua grauius, tamen ſupernatat. </s>
            <s xml:id="echoid-s6067" xml:space="preserve">Reſpondeo quia
              <lb/>
            aer in concauo contentus leuior eſt aqua, quare ex plumbo grauiori, aere vero leuiori, fit compoſicum aqua
              <lb/>
            leuius.</s>
            <s xml:id="echoid-s6068" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6069" xml:space="preserve">30 Sit columna marmorea è lacunari perpendiculariter pendens, ei vas aliquod manibus ſuppone, & </s>
            <s xml:id="echoid-s6070" xml:space="preserve">
              <lb/>
            ſuſtine tantæ capacitatis, vt imum columnæ intra ſe contineat, ita tamen vt eam nontangat, proximum ta-
              <lb/>
            men ei vndique ſit: </s>
            <s xml:id="echoid-s6071" xml:space="preserve">inijciatur intra vas tantum aquæ, vt vacuum inter vas, & </s>
            <s xml:id="echoid-s6072" xml:space="preserve">columnam repleat; </s>
            <s xml:id="echoid-s6073" xml:space="preserve">hæc igitur
              <lb/>
            aqua quamuis modica ſit, mirum tamen quantũ pendeat, & </s>
            <s xml:id="echoid-s6074" xml:space="preserve">grauitet. </s>
            <s xml:id="echoid-s6075" xml:space="preserve">Reſpondeo ex dictis num. </s>
            <s xml:id="echoid-s6076" xml:space="preserve">27. </s>
            <s xml:id="echoid-s6077" xml:space="preserve">ſolutio ha-
              <lb/>
            beri poteſt, cum enim ea pars columnæ, quæ immergitur, tanto leuior fiat, quantum eſt grauitas tantundem
              <lb/>
            aquæ, cumque ea grauitas non habeat in nihilum, neceſſe eſt eam grauitati reliquę aquæ commiſceri, ae pro-
              <lb/>
            inde ac ſi to tum vas eſſet aqua plenum, in ipſum vas grauitare, ab eoque ſuſtineri.</s>
            <s xml:id="echoid-s6078" xml:space="preserve"/>
          </p>
          <figure number="58">
            <image file="0081-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0081-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s6079" xml:space="preserve">31 Qua induſtria fieri poteſt, vt aquæ modicum, v.</s>
            <s xml:id="echoid-s6080" xml:space="preserve">g.
              <lb/>
            </s>
            <s xml:id="echoid-s6081" xml:space="preserve">vna libra, attollat, ac ſuſtineat quoduis ingens pondus, v.</s>
            <s xml:id="echoid-s6082" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6083" xml:space="preserve">
              <lb/>
            librarum 1,000. </s>
            <s xml:id="echoid-s6084" xml:space="preserve">Reſp. </s>
            <s xml:id="echoid-s6085" xml:space="preserve">accipiatur corpus ſolidum cuiuſuis
              <lb/>
            ponderis, quod tamen ſit de genere eorum quæ aqua ſunt
              <lb/>
            leuiora; </s>
            <s xml:id="echoid-s6086" xml:space="preserve">ac propterea in ea ſupernatant. </s>
            <s xml:id="echoid-s6087" xml:space="preserve">corpus hoc pona-
              <lb/>
            tur in aliquo vaſe talis ſiguræ, vt concauum eius congruat
              <lb/>
            ferè conuexo corporis ſolidi: </s>
            <s xml:id="echoid-s6088" xml:space="preserve">tamen inter vas, & </s>
            <s xml:id="echoid-s6089" xml:space="preserve">ſolidum,
              <lb/>
            aqua infundatur, quæ exigua admodum erit; </s>
            <s xml:id="echoid-s6090" xml:space="preserve">hæc tamen
              <lb/>
            deorſum deſcendens infra, ac circa ſolidum circunfuſa, il-
              <lb/>
            lud eleuabit, ac natare faciet.</s>
            <s xml:id="echoid-s6091" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6092" xml:space="preserve">32 Qua arte efficitur vt libra vna aquæ, libris 10. </s>
            <s xml:id="echoid-s6093" xml:space="preserve">aut 12.
              <lb/>
            </s>
            <s xml:id="echoid-s6094" xml:space="preserve">in pari lance æquiponderet? </s>
            <s xml:id="echoid-s6095" xml:space="preserve">Reſpondeo, ex clauo A. </s>
            <s xml:id="echoid-s6096" xml:space="preserve">
              <lb/>
            parieti affixo ſuſpende Bilancem B C. </s>
            <s xml:id="echoid-s6097" xml:space="preserve">cui impone bina va-
              <lb/>
            ſcula D E. </s>
            <s xml:id="echoid-s6098" xml:space="preserve">æqualia, capacia, v.</s>
            <s xml:id="echoid-s6099" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6100" xml:space="preserve">12. </s>
            <s xml:id="echoid-s6101" xml:space="preserve">vnciarum aquæ. </s>
            <s xml:id="echoid-s6102" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum