Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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EPISTOL AE.
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            <div xml:id="echoid-div756" type="section" level="3" n="43">
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                <pb o="405" rhead="EPISTOL AE." n="417" file="0417" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0417"/>
                <p>
                  <s xml:id="echoid-s4824" xml:space="preserve">Nune autem ſi locus terræ eſt ſub aqua, ergo locus aquæ proprius eſt ſub aere, &
                    <lb/>
                  non ſub terra, vnde non erit rationabile putare maiorem copiam aquarum exiſtere
                    <lb/>
                  in cauernis ſubterraneis, quam ſupra ſuperficiem terræ. </s>
                  <s xml:id="echoid-s4825" xml:space="preserve">Adde quod locus illarum
                    <lb/>
                  aquarum non eſſet ſuperficies aeris, ſed terræ, vnde non minus locus aquę eſſet ter-
                    <lb/>
                  ra, quam locus terræ, aqua. </s>
                  <s xml:id="echoid-s4826" xml:space="preserve">Sed miſſa faciamus hæc.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4827" xml:space="preserve">Cap. verò .20. ita inquit.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4828" xml:space="preserve">Materia elementorum æqualis eſt. </s>
                  <s xml:id="echoid-s4829" xml:space="preserve">Ergo aqua maior eſt terra.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s4830" xml:space="preserve">Hæc enim conſequentia veriſſima eſſet. </s>
                  <s xml:id="echoid-s4831" xml:space="preserve">Sed nullus vnquam Philoſophus (vt Phi-
                    <lb/>
                  loſophus dico) concedet totam materiam elementarem, in quatuor æquales partes
                    <lb/>
                  eſſe diuiſam.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s4832" xml:space="preserve">Cap. verò .21. inquit me dixiſſe non ſuffecturam paucam ſpiſſitudinem. </s>
                  <s xml:id="echoid-s4833" xml:space="preserve">Eo enim
                    <lb/>
                  in loco pag .26. mei tractatus contradicens ipſi Bergæ, dixi, quod ſecundum ipſum
                    <lb/>
                  Bergam non ſufficeret pauca ſpiſſitudo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4834" xml:space="preserve">Similiter etiam dixi, quod ſecundum ipſum, quanto remotius diffunditur lumen
                    <lb/>
                  fortaſſe tantò magis illuminat. </s>
                  <s xml:id="echoid-s4835" xml:space="preserve">Putans ipſe Berga quod in propinquo debilius exi-
                    <lb/>
                  ſteret dictum lumen. </s>
                  <s xml:id="echoid-s4836" xml:space="preserve">Et propter ea dixi, quod apud ipſum fortaſſe nihil valet illa
                    <lb/>
                  propoſicio, quæ dicit. </s>
                  <s xml:id="echoid-s4837" xml:space="preserve">Agens in propinquo, fortius agit quam in remoto.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4838" xml:space="preserve">Cap. autem .22. vbi Excellentiſſimus Auguſtinus inquit, vnum tantummodo ele
                    <lb/>
                  mentum non ſufficere ad generationem miſtorum. </s>
                  <s xml:id="echoid-s4839" xml:space="preserve">Hoc enim concedo, ſed hoc ni-
                    <lb/>
                  hil ad me ſpectat, eo quod meum reſponſum ad Bergam, erat circa tranſitum lumi-
                    <lb/>
                  nis, & non circa generationem elementorum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4840" xml:space="preserve">Cap. demum .23. pag .20. linea .10. vbi ſcribit me dixiſſe, iudicare, oportebat
                    <lb/>
                  ſcribere, dubitare.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4841" xml:space="preserve">Puto tamen hoc vocabulum eſſe errorem Thypographi, quamuis in correctione
                    <lb/>
                  illud non inuenerim, quia vt ego multoties expertusſum, difficillimum omnes Thy
                    <lb/>
                  pographi errores corrigere, neque (vt fertur) Argi oculi ſufficerent.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4842" xml:space="preserve">Hactenus enim in mei defenſionem hæc ſubiungere volui.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4843" xml:space="preserve">Ad defenſionem autem Piccolo.
                    <reg norm="aliorumque" type="simple">aliorumq́;</reg>
                  virorum meæ opinionis, nec non de
                    <lb/>
                  proportione duplicata profunditatis maris ad ſuam amplitudinem, ex conſequentia
                    <lb/>
                  pyramidali: </s>
                  <s xml:id="echoid-s4844" xml:space="preserve">
                    <reg norm="alijsque" type="simple">alijsq́;</reg>
                  ſimilibus rationibus, prodeant alij. </s>
                  <s xml:id="echoid-s4845" xml:space="preserve">Huiuſmodi tamen Doctiſſi-
                    <lb/>
                  mi viriingenium, memoriam, nec non doctrinam valde admiror, atque obſeruo.</s>
                </p>
              </div>
            </div>
            <div xml:id="echoid-div758" type="section" level="3" n="44">
              <div xml:id="echoid-div758" type="letter" level="4" n="1">
                <head xml:id="echoid-head566" xml:space="preserve">DE METHODO PRODVCTIONIS FRACTORVM
                  <lb/>
                qua vtuntur Pedemontani Agrimenſores.</head>
                <head xml:id="echoid-head567" style="it" xml:space="preserve">Anſelmo Roſemburg Agrimenſori Caſareo.</head>
                <p>
                  <s xml:id="echoid-s4846" xml:space="preserve">
                    <emph style="sc">MEthodvs</emph>
                  quàm mihi ſcribis in Prouincia tua maximè in vſu eſſe, nimis
                    <lb/>
                  longa atque prolixa eſt, Pedemontani verò Agrimenſores in produ-
                    <lb/>
                  ctione fractorum, valde breui methodo vti ſolent, quam libenter tibi
                    <lb/>
                  ſcribo, eo maxime, vt videas quam rationabiliter operentur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4847" xml:space="preserve">Scire igitur primum te oportet illos, maximam eorum communem menſuram
                    <lb/>
                  vocare Trabucum, cuius ſextam partem vocant Pedem, duodecimam verò pe-
                    <lb/>
                  dis, Vnciam,
                    <reg norm="duodecimam" type="context">duodecimã</reg>
                    <reg norm="autem" type="context">autẽ</reg>
                  vnciæ
                    <reg norm="punctum" type="context">punctũ</reg>
                  ,
                    <reg norm="duodecimam" type="context">duodecimã</reg>
                  demum puncti; </s>
                  <s xml:id="echoid-s4848" xml:space="preserve">Attomum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s4849" xml:space="preserve">Quotieſcunque igitur multiplicant trabucum, per trabucum nulli dubium eſt
                    <lb/>
                  quin producant trabucum ſuperficialem ſcilicet.</s>
                </p>
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