Cardano, Geronimo, Offenbarung der Natur und natürlicher dingen auch mancherley subtiler würckungen

Table of figures

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[91. Figure]
[92. Figure: Frigula. Habitabilis Borea@is. Ecliptica Tor ri da Habitabilis Auſhalis. Frigida. (Variables: 23{1/2} c 23{1/2} g 43 m 23{1/2} b 23{1/2} n 43 f 23{1/2} d 23{1/2} h 43 l 23{1/2} a 23{1/2} k 43 47 47)]
[93. Figure (Variables: a d e f g c b)]
[94. Figure (Variables: c a b e f d)]
[95. Figure (Variables: A E C D G H M N L B F)]
[96. Figure (Variables: A B C V E D)]
[97. Figure]
[98. Figure (Variables: a d c b e)]
[99. Figure: Arcticus Orient. Occides. Antarcti. (Variables: c a b d)]
[100. Figure (Variables: @ e f d g c a)]
[101. Figure]
[102. Figure]
[103. Figure (Variables: c d b a)]
[104. Figure (Variables: a c b d g l e l f)]
[105. Figure (Variables: a b c d e f k g h o)]
[106. Figure (Variables: d e a b c)]
[107. Figure (Variables: b a e d c)]
[108. Figure: Tetra cedron.]
[109. Figure: Exace dron.]
[110. Figure: Octo cedron]
[111. Figure: Icoſa he dron.]
[112. Figure]
[113. Figure]
[114. Figure: Gn@m@.]
[115. Figure (Variables: a g h b e m n f c k l d 1)]
[116. Figure (Variables: g h b e m n f c k l d 2)]
[117. Figure (Variables: a k l m b e q r g f ſ t h c n o p d 3)]
[118. Figure (Variables: a g h b e m n f c k l d 4)]
[119. Figure (Variables: a k b e m g f n h c l d 5)]
[120. Figure (Variables: a b c d 1)]
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ſachen/ Das erſt bůch.
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          <pb o="li" file="0107" n="107" rhead="ſachen/ Das erſt bůch."/>
          <p>
            <s xml:space="preserve">Deßhalben wann das waſſer von ſeinem ablauff in die ebne kom̃et/ laßt
              <lb/>
            die bewegung nach/ vnd wann es widerumb angeth hinab zůlauffen/ wirt
              <lb/>
            die gemehret/ vnd ſchneller/ dann das es der mehren theil am anfang durch
              <lb/>
            die berg fallet/ vnd auch deſter ſchneller laufft/ vnd wann es zů dem meer
              <lb/>
            kommet/ findet es ein hindernuß vnd laufft langſamer/ darumb iſt es inn
              <lb/>
            der mitte/ vnd bald hernach am aller ſchnelleſten. </s>
            <s xml:space="preserve">gleicher gſtalt/ bey dem
              <lb/>
              <anchor type="note" xlink:label="note-0107-01a" xlink:href="note-0107-01"/>
            end am aller tüffeſten/ vnnd bey dem anfang am aller nidereſten/ darumb
              <lb/>
            ſeind die flüß nit allein auß mangel der waſſeren/ ſonder auch das die gera
              <lb/>
            den linien/ nit weit von der linien des runs/ auß notwendigkeit gar nider.
              <lb/>
            </s>
            <s xml:space="preserve">wann nun das waſſer über das port geht/ lauffet es gleich über/ vnnd diſes
              <lb/>
            zů end des waſſers/ als in dem Pado bey Ferrar vnnd Mantua. </s>
            <s xml:space="preserve">dann das
              <lb/>
            port ſoll der geraden linien gleich ſein/ wiewol der erden gelegenheit etwas
              <lb/>
            niderer iſt/ dann das waſſer lauffet dahin. </s>
            <s xml:space="preserve">Wañ es auch zů dem meer kom-
              <lb/>
            met/ weil daſſelbig orth zůnidereſt iſt/ růwet es/ aber es hatt die natur den
              <lb/>
            ablauff vnnd zůlauff erfunden/ domit das waſſer nit faulete. </s>
            <s xml:space="preserve">Darumb iſt
              <lb/>
            offenbar das die waſſerleitung nit an der größe der teüchlen gelegen/ ſon-
              <lb/>
            der (wie geſagt) wann man die proportz der breite behaltet. </s>
            <s xml:space="preserve">Deßhalben be-
              <lb/>
            greiffe das mundloch zwey lot waſſer deſſen weite hab B C. </s>
            <s xml:space="preserve">die
              <lb/>
              <anchor type="figure" xlink:label="fig-0107-01a" xlink:href="fig-0107-01"/>
              <anchor type="figure" xlink:label="fig-0107-02a" xlink:href="fig-0107-02"/>
              <anchor type="figure" xlink:label="fig-0107-03a" xlink:href="fig-0107-03"/>
            höhe aber A B wir wöllend aber ein vierfachẽ anfang machẽ/
              <lb/>
            vnd ſeye die breite B D/ die höhe auch alſo/ wie angezeigt iſt.
              <lb/>
            </s>
            <s xml:space="preserve">Nun ſetzend wir auch darzů F G/ dz zweyfach gegen B C/ vñ
              <lb/>
            E F/ ſo zwifach gegẽ A B. </s>
            <s xml:space="preserve">darumb wirt E F G auß dem ſo von
              <lb/>
            Euclide bewiſen iſt/ vierfach gegen A B C/ vnnd dem A B
              <lb/>
            D geleich. </s>
            <s xml:space="preserve">Nun ſeye widerumb ein rundes mundloch vnnd
              <lb/>
            vrſprung/ wölches halber theil H K dem A B C geleich iſt/
              <lb/>
            oder gantz eines vnuermercklichen vnderſcheyds/ daß das
              <lb/>
            L M abermal gegen dem H K zwifach. </s>
            <s xml:space="preserve">vnd ſeye das waſſer ſo
              <lb/>
            durch das H K lauffet gerad zwey lot/ weil auch das H K ni-
              <lb/>
            derer iſt dañ das A B/ ſo wirt auch auß dem ſo vor angezeigt/
              <lb/>
            das H K kleiner ſein dann das A B C. </s>
            <s xml:space="preserve">Weil auch das waſſer/
              <lb/>
            ſo durch den vrſprung L M lauffet/ langſamer fleüſſet/ wirt
              <lb/>
            es achtlot minder haben/ dann wañ es gleich lieffe/ wnrde es
              <lb/>
            jnen gleich ſein. </s>
            <s xml:space="preserve">vyl minder das durch E F G laufft/ weil es
              <lb/>
            zwey malen tieffer an dem waſſer iſt. </s>
            <s xml:space="preserve">Darumb mag man al ein
              <lb/>
            das waſſer abmeſſen/ nach den vier eckẽ zů obereſt/ in der
              <lb/>
            breite des fundaments/ nit nach der liniẽ/ wölche bey der
              <lb/>
            proportz in mitten ſeind. </s>
            <s xml:space="preserve">in den teüchlẽ aber keines wegs/
              <lb/>
            dann es wurde allwegen dem keüffer ein ſchaden darauß
              <lb/>
            entſthan. </s>
            <s xml:space="preserve">Damit wir aber beyde auſſerſte trib haben des
              <lb/>
            waſſers/ wañ es in einer wag ſtath/ iſt es in mitten/ vnnd
              <lb/>
            lauffet nit/ ſonder ſteth ſtill. </s>
            <s xml:space="preserve">wañ es aber geſtracks geht/ iſt es am gröſten/
              <lb/>
            wann die bleywag hinab ſicht. </s>
            <s xml:space="preserve">überſich aber gar keines. </s>
            <s xml:space="preserve">alſo treibt es das
              <lb/>
            zünglin o{der} tächlin nit/ wölches waſſer aber in der wag ſtaht/ treibt die leff
              <lb/>
            zen/ darũb hatt es nit gar kein bewegũg/ doch wirt es hin{der}halten dz es nit
              <lb/>
            lauffet. </s>
            <s xml:space="preserve">Hie möcht mir aber yemand fürwerffen/ wañ es dz waſſer ſo hin
              <lb/>
            ab lauffet/ an ſich zeücht/ wirt der kenel gar außgeſogen? </s>
            <s xml:space="preserve">wölche rechnũg
              <lb/>
            auch in den teüchlen beſchehen mag. </s>
            <s xml:space="preserve">Darumb můß allein das waſſer des
              <lb/>
            gantzen bach/ oder allein ein theyl ſchneller lauffen/ vnd alſo getheilt vnd
              <lb/>
            </s>
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