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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IO. BAPT. BENED.
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                    <pb o="402" rhead="IO. BAPT. BENED." n="414" file="0414" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0414"/>
                  quos omnes
                    <reg norm="recenſerem" type="context">recenſerẽ</reg>
                  moleſtum eſſet. </s>
                  <s xml:id="echoid-s4757" xml:space="preserve">Sed etiam ſupponendo quod maxima
                    <lb/>
                  pelagi profunditas ſit, non modo .500. paſſuum, ſed etiam .500. millium paſſuum, vt
                    <lb/>
                  dixi, & quod mare ſit huius profunditatis, non vno in loco tantum, aut multis, ſed
                    <lb/>
                  quod ſupra totam etiam faciem terræ, mare tantę profunditatis ipſam terram vn-
                    <lb/>
                  dique operiret, ideſt, quod vbicunque nunc terra detecta eſt, eſſet aqua, ſpiſſitudi-
                    <lb/>
                  nis .500. millium paſſuum. </s>
                  <s xml:id="echoid-s4758" xml:space="preserve">Atque vt planius intelligar ſupponendo quod ſicuti to-
                    <lb/>
                  tus huius globi ſemidiameter eſt
                    <reg norm="milliarium" type="context">milliariũ</reg>
                  .3500. </s>
                  <s xml:id="echoid-s4759" xml:space="preserve">Terreſtris partis ſemidiameter
                    <lb/>
                  eſſet
                    <reg norm="tantum" type="wordlist">tm̃</reg>
                  .3000. & reliquum ſemidiametri, id eſt quingenta milliaria eſſet craſſitudo
                    <lb/>
                  ſiue profunditas orbis aquei, in quo nihil neceſſe eſſet laborare in dimetiendis fon-
                    <lb/>
                  tibus, fluminibus, lacubus, ſtagnis, paludibus, & huiuſmodi particulis nullius momen
                    <lb/>
                  ti apud peritos, nec curare ſubterraneas aquas cauernarum, aut aliorum terræ cauo-
                    <lb/>
                  rum, ſeu terræ porroſitatum, quæ omnia ſunt circa ipſius terræ ſuperficiem. </s>
                  <s xml:id="echoid-s4760" xml:space="preserve">Quia ve
                    <lb/>
                  riſimile non eſt naturam eiuſmodi caua ſiue ſpong oſitates produxiſſe demiſſius li-
                    <lb/>
                  bramenti maris. </s>
                  <s xml:id="echoid-s4761" xml:space="preserve">Supponendo igitur ea quæ nunc dicta ſunt, terra tamen eſſet ferè
                    <lb/>
                  duplo maior aqua, hoc eſt, vt .12. ad .7. </s>
                  <s xml:id="echoid-s4762" xml:space="preserve">Quod quidem, cuiuis mathematicæ philoſo-
                    <lb/>
                  phiæ mediocriter perito, ſupputatu facillnnum eſt. </s>
                  <s xml:id="echoid-s4763" xml:space="preserve">Cum proportio diametrorum,
                    <lb/>
                  ſeu ſemidiametrorum, tertia pars exiſtat proportionis eorundem ſphærarum. </s>
                  <s xml:id="echoid-s4764" xml:space="preserve">Sed
                    <lb/>
                  vt parum periti minore labore ſupputare poſſint.</s>
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                <p>
                  <s xml:id="echoid-s4765" xml:space="preserve">Primum ſciendum eſt, quod ſupponendo diametrum globi, ex terra, & aqua com
                    <lb/>
                  poſiti, eſſe .3500. milliarium, & ſemidiametrum puræ terreſtris partis eſſe .3000. tan
                    <lb/>
                  tum, eiuſmodi proportio erit ut .7. ad .6. quia communis maior numerator horum
                    <lb/>
                  duum ſemidiametrorum erit .500. qui in maiorem ingredietur ſepties, in minorem
                    <lb/>
                  a utem ſexies. </s>
                  <s xml:id="echoid-s4766" xml:space="preserve">Et eiuſmodi proportio ſuperparticularis, vocatur ſeſquiſexta, cuius
                    <lb/>
                  triplum erit vt .57. cum ſexta parte ad .36. & idem erit inter dictum globum compo-
                    <lb/>
                  ſitum, & partem terreſtrem ſimplicem. </s>
                  <s xml:id="echoid-s4767" xml:space="preserve">Quare ſubtrahendo puram, ſeu ſimplicem
                    <lb/>
                  partem terreſtrem, ex compoſito, reliqua pars erit, vt .21. cum ſexta, pro quantitate
                    <lb/>
                  aquei orbis, ad quam, terreſtris quantitas .36. erit ferè in
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                  proportione, quæ .12.
                    <lb/>
                  ad .7.</s>
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                <p>
                  <s xml:id="echoid-s4768" xml:space="preserve">Nunc fortaſſe alienum non erit videre quanto ferè maior eſſet terra, quam tota
                    <lb/>
                  aqua, non dico
                    <reg norm="autem" type="context">autẽ</reg>
                  ſolum de parte illa maximæ e ius profunditatis, quæ nuſquam
                    <lb/>
                  ad quingentos paſſus peruenit, ſed de ficto illo orbe aqueo, profunditatis .500. paſ-
                    <lb/>
                  ſuum, qui totum terreſtrem orbem circundaret, & tegeret, ſupponendo quod per
                    <lb/>
                  quingentos paſſus profunditatis, quidquid eſt terra, eſſet aqua, ideſt ſuppoſito quod
                    <lb/>
                  ex totius orbis compoſiti ſemidiametro exiſtente .3500. milliarium, purę terræ ſemi
                    <lb/>
                  diameter eſſet milliarium .3499. cum dimidio. </s>
                  <s xml:id="echoid-s4769" xml:space="preserve">Supponendo igitur, vt ſupradixi.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s4770" xml:space="preserve">Comperietur quod terra eſſet maior aqua amplius quam .2333. vicibus. </s>
                  <s xml:id="echoid-s4771" xml:space="preserve">Sed quia
                    <lb/>
                  partes terræ detectæ rumpunt eiuſmodi fictum orbem aqueum, quæ quidem partes,
                    <lb/>
                  ſunt ampliores ſuperficię aquæ, vt obſeruauit Piccolo. atque alij
                    <reg norm="præſtantes" type="context">præſtãtes</reg>
                  viri, ideo
                    <lb/>
                  ſequetur, vt terra ſit maior aqua amplius .4666. vicibus imo amplius quinquies mil-
                    <lb/>
                  lecuplo. </s>
                  <s xml:id="echoid-s4772" xml:space="preserve">Si autem quis diceret, in quantitate aquæ computari etiam illam, quæ gi-
                    <lb/>
                  gnatur ex vaporibus, qui globum hunc compoſitum circundant: </s>
                  <s xml:id="echoid-s4773" xml:space="preserve">reſpondeo quod
                    <lb/>
                  non modò ei concedo computari eiuſmodi aquam, ſed ſupponendo etiam quodto
                    <lb/>
                  tus locus à vaporibus occupatus, qui attolluntur .52. milliaria ſupra ſuperficiem
                    <lb/>
                  huius globi, vt iam ſupradictum eſt, totus eſſet aqueus, & amplius, ſupponendo quod
                    <lb/>
                  orbis hic aqueus eſſet ſpiſſitudinis, ſiue altitudinis quingentorum milliarium ſupra
                    <lb/>
                  totum ipſum globum compoſitum. </s>
                  <s xml:id="echoid-s4774" xml:space="preserve">Tamen terra eſſet maior ipſa aqua ferè duplo;
                    <lb/>
                  </s>
                  <s xml:id="echoid-s4775" xml:space="preserve">qua dere, quiſque eiuſmodi ſupputationum peritus certior fieri poterit. </s>
                  <s xml:id="echoid-s4776" xml:space="preserve">Vnde iti- </s>
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