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
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        <div xml:id="echoid-div98" type="section" level="1" n="65">
          <p>
            <s xml:id="echoid-s5200" xml:space="preserve">
              <pb o="52" file="0072" n="76" rhead="De Mundi Fabrica"/>
            ipſa globum conformari. </s>
            <s xml:id="echoid-s5201" xml:space="preserve">Quinta, vbique terra, & </s>
            <s xml:id="echoid-s5202" xml:space="preserve">aqua, per eandem lineam perpendicularem deſcendunt,
              <lb/>
            ergo ad idem centrum, quod eſt Mundi medium, ergo etiam vnum eumdemque ſimul globum conſtituere
              <lb/>
            debent. </s>
            <s xml:id="echoid-s5203" xml:space="preserve">Sexta, eſt quam Ariſtoteles ſecundo de cælo affert, quæ ſumitur a liquiditate, & </s>
            <s xml:id="echoid-s5204" xml:space="preserve">fluiditate aquæ,
              <lb/>
            ob quam trahente ipſius grauitate, ad loca decliuiora ſemper deuoluitur; </s>
            <s xml:id="echoid-s5205" xml:space="preserve">quare neceſſe eſt in Mari nuli
              <unsure/>
            am
              <lb/>
            eſſe partem al era eminentiorem; </s>
            <s xml:id="echoid-s5206" xml:space="preserve">quia ſi eſſet ſtatim ad humiliorem deflueret partem; </s>
            <s xml:id="echoid-s5207" xml:space="preserve">cum igitur nulla ſit al-
              <lb/>
            tera altior, neceſſario ſequitur vt omnes eius ſupremæ partes à Mundi centro æquidiſtent, ac proinde rotun-
              <lb/>
            ditatem acquirant. </s>
            <s xml:id="echoid-s5208" xml:space="preserve">Hinc illud minime prætereundum deducitur, neceſſario ſcilicet omnia maria exactè eſſe
              <lb/>
            æquè alta, cùm enim omnia maria inuicem aliquatenus ſaltem coniungantur (excepto Hircano) neceſſe eſt
              <lb/>
            ſupremam eorum ſuperſiciem a centro Mundi æquidiſtare ob dictam fluiditatem, qu a ſi vnum eſſet altius
              <lb/>
            altero, altius in inferius influeret. </s>
            <s xml:id="echoid-s5209" xml:space="preserve">quocirca conſtat illos Seſoſtris Regis Aegypti conſiliarios hallucinatos eſ-
              <lb/>
            ſe, dum ei Aegyptiaci Iſthmi ſectionem diſſuaderent, quod dicerent Mare rubrũ altius eſſe Mari noſtro Me-
              <lb/>
            diterraneo, ac proinde fore, vt totam Græciam, ac parte Aſiæ, ſi Iſtmo perfoſſo, porta ei aperiretur, inuade-
              <lb/>
            ret, ac ſubmergeret. </s>
            <s xml:id="echoid-s5210" xml:space="preserve">Septimam, & </s>
            <s xml:id="echoid-s5211" xml:space="preserve">vltimo loco addamus ſubtiliſſimam Archimedis demonſtrationem ex li-
              <lb/>
            bro de ijs, quæ in aqua vehuntur. </s>
            <s xml:id="echoid-s5212" xml:space="preserve">quæ quidem pręce dentem Ariſtotelis rationem reducit ad formam Geome-
              <lb/>
            tricam: </s>
            <s xml:id="echoid-s5213" xml:space="preserve">ſupponit autem primo humidi eam eſſe naturam, vt partibus eius ex æquo iacentibus, & </s>
            <s xml:id="echoid-s5214" xml:space="preserve">inuicem con-
              <lb/>
            tinuatis, minus preſſa, a magis preſſa expellatur: </s>
            <s xml:id="echoid-s5215" xml:space="preserve">vna quæq; </s>
            <s xml:id="echoid-s5216" xml:space="preserve">aurem pars pręmitur humido ſupra ipſam exiſten-
              <lb/>
            te ad perpendiculum, ſi humidum ſit deſcendens in aliquo, aut ab aliquo alio preſſum. </s>
            <s xml:id="echoid-s5217" xml:space="preserve">ſecundo demonſtrat
              <lb/>
            ſequentem propoſitionem.</s>
            <s xml:id="echoid-s5218" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div99" type="section" level="1" n="66">
          <head xml:id="echoid-head71" style="it" xml:space="preserve">Si ſuperficies aliqua plano ſecetur per idem ſemper punctum, ſitq; ſectio ſemper circuli circum-
            <lb/>
          ferentia, centrum habens punctum illud per quod planum ſecans tran-
            <lb/>
          ſit, ea Sphæræ ſuperficies erit.</head>
          <p>
            <s xml:id="echoid-s5219" xml:space="preserve">SEcetur ſuperficies aliqua B E D F. </s>
            <s xml:id="echoid-s5220" xml:space="preserve">plano per C. </s>
            <s xml:id="echoid-s5221" xml:space="preserve">punctum tran-
              <lb/>
              <figure xlink:label="fig-0072-01" xlink:href="fig-0072-01a" number="43">
                <image file="0072-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0072-01"/>
              </figure>
            ſeunte, & </s>
            <s xml:id="echoid-s5222" xml:space="preserve">ſic ſectio ſemper circuli circumferentia, prima ſit,
              <lb/>
            v. </s>
            <s xml:id="echoid-s5223" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5224" xml:space="preserve">G H I. </s>
            <s xml:id="echoid-s5225" xml:space="preserve">ſecunda ſit E A F. </s>
            <s xml:id="echoid-s5226" xml:space="preserve">& </s>
            <s xml:id="echoid-s5227" xml:space="preserve">ſimiliter aliæ omnes ſint circu-
              <lb/>
            li circumferentiæ. </s>
            <s xml:id="echoid-s5228" xml:space="preserve">Dico ſuperficiem B E D F. </s>
            <s xml:id="echoid-s5229" xml:space="preserve">eſſe Sphæricam,
              <lb/>
            cuius centrum C. </s>
            <s xml:id="echoid-s5230" xml:space="preserve">ſi enim non eſt Sphærica, rectæ quæ à C. </s>
            <s xml:id="echoid-s5231" xml:space="preserve">ad
              <lb/>
            eam ducuntur non erunt omnes æquales: </s>
            <s xml:id="echoid-s5232" xml:space="preserve">ſint igitur ſi fieri po-
              <lb/>
            teſt inæquales lineæ C A. </s>
            <s xml:id="echoid-s5233" xml:space="preserve">C D. </s>
            <s xml:id="echoid-s5234" xml:space="preserve">& </s>
            <s xml:id="echoid-s5235" xml:space="preserve">per ipſas C A. </s>
            <s xml:id="echoid-s5236" xml:space="preserve">C D. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">planum
              <lb/>
            ducatur faciens in ea ſectionem B A D. </s>
            <s xml:id="echoid-s5238" xml:space="preserve">ergo ex hypotheſi ſe-
              <lb/>
            ctio illa erit circuli portio cuius centrum C. </s>
            <s xml:id="echoid-s5239" xml:space="preserve">ergo æquales inui-
              <lb/>
            cem ſunt C A. </s>
            <s xml:id="echoid-s5240" xml:space="preserve">C D. </s>
            <s xml:id="echoid-s5241" xml:space="preserve">atqui modo dicebantur inæquales, quod eſt
              <lb/>
            abſurdum; </s>
            <s xml:id="echoid-s5242" xml:space="preserve">ergo propoſita ſuperficies B E D E. </s>
            <s xml:id="echoid-s5243" xml:space="preserve">Sphærica eſt. </s>
            <s xml:id="echoid-s5244" xml:space="preserve">his
              <lb/>
            præmiſſus probat prinicipalem propoſitionem, nimirum.</s>
            <s xml:id="echoid-s5245" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div101" type="section" level="1" n="67">
          <head xml:id="echoid-head72" style="it" xml:space="preserve">Omnes humidi conſiſtentis, ac manentis ſuperficies ſph@@
            <lb/>
          rica@st, cuius ſphæræ centrum eſt idem,
            <lb/>
          quod centrum terræ.</head>
          <p>
            <s xml:id="echoid-s5246" xml:space="preserve">INtelligatur humidum conſiſtens, manenſque, ſeceturque eius
              <lb/>
            ſuperſicies plano per centrum terræ K. </s>
            <s xml:id="echoid-s5247" xml:space="preserve">ducto, ſectio a@@em ſi@
              <lb/>
            in ſuperſicie linea A B C D. </s>
            <s xml:id="echoid-s5248" xml:space="preserve">quam dico eſſe circuli peripheriam,
              <lb/>
            cuius centrum K. </s>
            <s xml:id="echoid-s5249" xml:space="preserve">nam ſi negetur, erunt ergo à K. </s>
            <s xml:id="echoid-s5250" xml:space="preserve">ad eam ductæ lineę inæquales, v. </s>
            <s xml:id="echoid-s5251" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5252" xml:space="preserve">K A. </s>
            <s xml:id="echoid-s5253" xml:space="preserve">minor quam K C.
              <lb/>
            </s>
            <s xml:id="echoid-s5254" xml:space="preserve">ſumatur igitur recta K B. </s>
            <s xml:id="echoid-s5255" xml:space="preserve">inter eas media; </s>
            <s xml:id="echoid-s5256" xml:space="preserve">cuius interuallo ducatur circuli portio F B H E. </s>
            <s xml:id="echoid-s5257" xml:space="preserve">eius igitur pars vna
              <lb/>
            erit extra circulũ A B C D. </s>
            <s xml:id="echoid-s5258" xml:space="preserve">pars vero altera intra. </s>
            <s xml:id="echoid-s5259" xml:space="preserve">iungantur rectæ F K. </s>
            <s xml:id="echoid-s5260" xml:space="preserve">B K. </s>
            <s xml:id="echoid-s5261" xml:space="preserve">C K. </s>
            <s xml:id="echoid-s5262" xml:space="preserve">quæ angulos ad K. </s>
            <s xml:id="echoid-s5263" xml:space="preserve">æqua-
              <lb/>
              <figure xlink:label="fig-0072-02" xlink:href="fig-0072-02a" number="44">
                <image file="0072-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0072-02"/>
              </figure>
            les facient. </s>
            <s xml:id="echoid-s5264" xml:space="preserve">deſcribatur etiam circumferentia X O P. </s>
            <s xml:id="echoid-s5265" xml:space="preserve">in plano ſecan-
              <lb/>
            te. </s>
            <s xml:id="echoid-s5266" xml:space="preserve">ergo partes humidi, quæ ſunt ad circumferentiam X O P. </s>
            <s xml:id="echoid-s5267" xml:space="preserve">æqua-
              <lb/>
            liter iacent, ac continuatæ inuicem ſunt: </s>
            <s xml:id="echoid-s5268" xml:space="preserve">& </s>
            <s xml:id="echoid-s5269" xml:space="preserve">pręmuntur partes humi-
              <lb/>
            di quæ ſunt ſub X O. </s>
            <s xml:id="echoid-s5270" xml:space="preserve">humido quod loco A B X O. </s>
            <s xml:id="echoid-s5271" xml:space="preserve">continetur quæ
              <lb/>
            vero ſub O P. </s>
            <s xml:id="echoid-s5272" xml:space="preserve">premuntur humido exiſtente in B C P O. </s>
            <s xml:id="echoid-s5273" xml:space="preserve">inæqualiter
              <lb/>
            igitur præmuntur, magis enim premuntur partes, quæ ſub O P. </s>
            <s xml:id="echoid-s5274" xml:space="preserve">qua
              <lb/>
            quæ ſub O X. </s>
            <s xml:id="echoid-s5275" xml:space="preserve">exiſtunt, quare partes ſub X O. </s>
            <s xml:id="echoid-s5276" xml:space="preserve">minus preſſæ a partibus
              <lb/>
            ſub O P. </s>
            <s xml:id="echoid-s5277" xml:space="preserve">magis preſſis, expelluntur. </s>
            <s xml:id="echoid-s5278" xml:space="preserve">non ergo humidum conſiſtens
              <lb/>
            ac manens eſt, quod eſt contra hypotheſim, & </s>
            <s xml:id="echoid-s5279" xml:space="preserve">proinde abſurdum.
              <lb/>
            </s>
            <s xml:id="echoid-s5280" xml:space="preserve">neceſſarium igitur eſt lineam A B C D. </s>
            <s xml:id="echoid-s5281" xml:space="preserve">eſſe circuli circumferẽtiam,
              <lb/>
            cuius centrum K. </s>
            <s xml:id="echoid-s5282" xml:space="preserve">hoc enim negato ſequitur abſurdum. </s>
            <s xml:id="echoid-s5283" xml:space="preserve">eodem mo-
              <lb/>
            do oſtendemus quamlibet aliam ſectionem humidi per centrum K. </s>
            <s xml:id="echoid-s5284" xml:space="preserve">tranſeuntem, eſſe circuli portionem, cu-
              <lb/>
            ius centrum K. </s>
            <s xml:id="echoid-s5285" xml:space="preserve">ex quibus per præcedentem propoſitionẽ ſequitur omnis humidi conſiſtentis, ſeu non </s>
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