Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <pb o="210" file="246" n="247" rhead="Comment. in I. Cap. Sphæræ"/>
          <note position="right" xml:space="preserve">
            <lb/>
          Cubitus magnus conſtat pedibus # 9 # vel Palmis # 36
            <lb/>
          Paſſus ſimplex primæ differentiæ pedes habet # 2 # vel Palmos # 8
            <lb/>
          Paſſus duplex primę @differentię habet pedes # 4 # vel Palmos # 16
            <lb/>
          Paſſus ſimplex ſecundę differentię continet pedes # 2 {1/2} # vel Palmos # 10
            <lb/>
          Paſſus duplex ſecundę differ. dictus Geometricus, \\ habet pedes # 5 # vel Palmos # 10
            <lb/>
          Paſſus ſimplex tertiæ differentię pedes obtinet # 3 # vel Palmos # 12
            <lb/>
          Paſſus duplex tertię differentiæ conſtat pedibus # 6 # vel Palmis # 24
            <lb/>
          Vlna communis complectitur pedes # 4 # vel Palmos # 16
            <lb/>
          Vlna agreſtis conſtat pedibus # 6 # vel Palmis # 24
            <lb/>
          Pertica comprehendit pedes # 10 # vel Palmos # 40
            <lb/>
          Stadium habet pafſus Geometricos # 125 # vel pedes # 625
            <lb/>
          Miliarium continet ſtadia # 8 # vel Paſſ. Geo. 1000
            <lb/>
          Leuca Gallica, ſiue Hiſpania continet milliaria # 1 {1/2} uel Paſſ. Geo. 1500
            <lb/>
          Leuca Germanica communis milliaria habet # 4 # vel Paſſ. Geo. 4000
            <lb/>
          Leuca Sueuica omnium maxima habet miliaria # 5 # vel Paſſ. Geo. 5000
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s8558" xml:space="preserve">
              <emph style="sc">Caetervm</emph>
            harum menſurarum ualor intelligendus eſt tantummo-
              <lb/>
              <note position="left" xlink:label="note-246-02" xlink:href="note-246-02a" xml:space="preserve">Quomodo
                <lb/>
              menſurę ſu
                <lb/>
              pradictæ in
                <lb/>
              telligendæ
                <lb/>
              ſint.</note>
            do ſecundum longitudinem, ita ut v. </s>
            <s xml:id="echoid-s8559" xml:space="preserve">g. </s>
            <s xml:id="echoid-s8560" xml:space="preserve">ſtadia octo in longitudine conficiant
              <lb/>
            unum milliarium in longitudine, & </s>
            <s xml:id="echoid-s8561" xml:space="preserve">quatuor digiti in longitudine conſtituãt
              <lb/>
            unum palmum in longitudine, &</s>
            <s xml:id="echoid-s8562" xml:space="preserve">c. </s>
            <s xml:id="echoid-s8563" xml:space="preserve">Non autem ſecundum latitudinem. </s>
            <s xml:id="echoid-s8564" xml:space="preserve">Non. </s>
            <s xml:id="echoid-s8565" xml:space="preserve">n.
              <lb/>
            </s>
            <s xml:id="echoid-s8566" xml:space="preserve">octo ſtadia quadrata æquiualent uni milliario quadrato, cum quadratũ unius
              <lb/>
            milliarij comprehendat ſtadia quadrata 64. </s>
            <s xml:id="echoid-s8567" xml:space="preserve">quia nimirum numerus quadra-
              <lb/>
            tus octonarij (qui numerus ſtadiorum complectitur unum milliarium) eſt 64. </s>
            <s xml:id="echoid-s8568" xml:space="preserve">
              <lb/>
            Ita quoque unus palmus quadratus continebit 16, digitos quadratos, propte-
              <lb/>
            rea quod numerus quadratus quaternarij (quatuor enim digiti palmum con-
              <lb/>
            ſtituunt) ſit 16. </s>
            <s xml:id="echoid-s8569" xml:space="preserve">&</s>
            <s xml:id="echoid-s8570" xml:space="preserve">c. </s>
            <s xml:id="echoid-s8571" xml:space="preserve">Hoc ideo dixerim, ne mireris, ſtadia, quæ in tota conuexa
              <lb/>
            ſuperficie terræ compreh enduntur, non poſſe reduci ad milliaria, diuiſione fa-
              <lb/>
            cta per 8. </s>
            <s xml:id="echoid-s8572" xml:space="preserve">ſed per 64.</s>
            <s xml:id="echoid-s8573" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s8574" xml:space="preserve">Ex his autem facile cuilibet erit, ſi omnino præceptis Arithmeticis non
              <lb/>
              <note position="left" xlink:label="note-246-03" xlink:href="note-246-03a" xml:space="preserve">Qua ratio-
                <lb/>
              ne una mẽ
                <lb/>
              ſura in aliã
                <lb/>
              tranſmute-
                <lb/>
              @ur.</note>
            fuerit deſtitutus, menſuram quamcunque in aliam transformare. </s>
            <s xml:id="echoid-s8575" xml:space="preserve">Si enim men
              <lb/>
            ſura minor in maiorem cõmutanda eſt, diuidendus eſt numerus minoris men
              <lb/>
            ſuræ per numerum, ſecundum quem minor in maiore continetur. </s>
            <s xml:id="echoid-s8576" xml:space="preserve">Vt ſi pafſus
              <lb/>
            46000. </s>
            <s xml:id="echoid-s8577" xml:space="preserve">redigendi ſint ad milliaria, diuidendi erunt per 1000. </s>
            <s xml:id="echoid-s8578" xml:space="preserve">quoniam paſſus
              <lb/>
            1000. </s>
            <s xml:id="echoid-s8579" xml:space="preserve">conficiunt unum milliarium, efficienturq́ue milliaria 46. </s>
            <s xml:id="echoid-s8580" xml:space="preserve">Ita quoq; </s>
            <s xml:id="echoid-s8581" xml:space="preserve">quo
              <lb/>
            niam 8. </s>
            <s xml:id="echoid-s8582" xml:space="preserve">ſtadia conficiunt milliarium, ex 252000. </s>
            <s xml:id="echoid-s8583" xml:space="preserve">ſtadiis efficiuntur milliaria
              <lb/>
            31500. </s>
            <s xml:id="echoid-s8584" xml:space="preserve">Pari ratione cum 20000. </s>
            <s xml:id="echoid-s8585" xml:space="preserve">palmi efficiant milliarium, continebuntur in
              <lb/>
            palmis 560000. </s>
            <s xml:id="echoid-s8586" xml:space="preserve">milliaria 28. </s>
            <s xml:id="echoid-s8587" xml:space="preserve">&</s>
            <s xml:id="echoid-s8588" xml:space="preserve">c. </s>
            <s xml:id="echoid-s8589" xml:space="preserve">Si uero maior aliqua menſura in minorem cõ
              <lb/>
            uertenda ſit, multiplicandus erit uumerus maioris menſuræ per numerum, ſe
              <lb/>
            cundum quem minor in maiore continetur, Vt ſi uelim ſcire, quot paſſus effi-
              <lb/>
            ciantur ex 46. </s>
            <s xml:id="echoid-s8590" xml:space="preserve">milliarijs. </s>
            <s xml:id="echoid-s8591" xml:space="preserve">Multiplico 46. </s>
            <s xml:id="echoid-s8592" xml:space="preserve">per 1000. </s>
            <s xml:id="echoid-s8593" xml:space="preserve">(totiens enim paſſus in mil-
              <lb/>
            liario continetur,) efficioq́ue paſſus 46000. </s>
            <s xml:id="echoid-s8594" xml:space="preserve">atque ita de cæteris.</s>
            <s xml:id="echoid-s8595" xml:space="preserve"/>
          </p>
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