Musschenbroek, Petrus van, Physicae experimentales, et geometricae de magnete, tuborum capillarium vitreorumque speculorum attractione, magnitudine terrae, cohaerentia corporum firmorum dissertationes: ut et ephemerides meteorologicae ultraiectinae
page |< < (363) of 795 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div249" type="section" level="1" n="249">
          <p>
            <s xml:id="echoid-s8779" xml:space="preserve">
              <pb o="363" file="0377" n="377" rhead="DE MAGNITUDINE TERRÆ."/>
            belli reliquias oſtentaret, turris, inquam, ejus pagi ſit m. </s>
            <s xml:id="echoid-s8780" xml:space="preserve">Ejus ſitus
              <lb/>
            à turri curiæ Leidenſis ita in meridiem vergit, ut pauculis gradi-
              <lb/>
            bus in ortum declinet. </s>
            <s xml:id="echoid-s8781" xml:space="preserve">Stationum loca in camporum planitie a me
              <lb/>
            ad hanc primam Gæodæſiam ſelecta a. </s>
            <s xml:id="echoid-s8782" xml:space="preserve">& </s>
            <s xml:id="echoid-s8783" xml:space="preserve">e. </s>
            <s xml:id="echoid-s8784" xml:space="preserve">inter ſe trecentis vi-
              <lb/>
            ginti ſex Rhynlandicis perticis & </s>
            <s xml:id="echoid-s8785" xml:space="preserve">quatuor pedibus disjuncta. </s>
            <s xml:id="echoid-s8786" xml:space="preserve">Ve-
              <lb/>
            rum ut omnem ambiguitatem tollam, & </s>
            <s xml:id="echoid-s8787" xml:space="preserve">me ipſum hic clarius ex-
              <lb/>
            plicem, qua formula paſſim in hoc calculo uſus ſim prius indicabo.
              <lb/>
            </s>
            <s xml:id="echoid-s8788" xml:space="preserve">Ut abacum facilem & </s>
            <s xml:id="echoid-s8789" xml:space="preserve">expeditum haberem decumanam numeratio-
              <lb/>
            nem uſurpavi. </s>
            <s xml:id="echoid-s8790" xml:space="preserve">Gæodætæ quidem noſtrates in agrorum metatione,
              <lb/>
            viarum dimenſione & </s>
            <s xml:id="echoid-s8791" xml:space="preserve">cæteris intervallis menſurandis, utuntur per-
              <lb/>
            tica, ipſi virgam vocant, een Roede, duodecim pedes longa, quas
              <lb/>
            duas orgyas veteres dicerent, eandem & </s>
            <s xml:id="echoid-s8792" xml:space="preserve">nos eadem longitudine re-
              <lb/>
            tinemus, ſed in partes tantum decem tributam. </s>
            <s xml:id="echoid-s8793" xml:space="preserve">Illi pedem ſuum
              <lb/>
            in uncias duodecim rurſum ſubdividunt; </s>
            <s xml:id="echoid-s8794" xml:space="preserve">Nos pedem noſtrum tan-
              <lb/>
            tum in partes decem, ita ut illis tota pertica ſit unciarum centum
              <lb/>
            quatuor & </s>
            <s xml:id="echoid-s8795" xml:space="preserve">quadraginta, nobis eadem pertica habeat tantum partes
              <lb/>
            centum. </s>
            <s xml:id="echoid-s8796" xml:space="preserve">Ut noſtri pedis in hoc calculo ad Rhynlandicum ratio ſit
              <lb/>
            ut 6 ad 5. </s>
            <s xml:id="echoid-s8797" xml:space="preserve">eadem ſcilicet, quæ Alexandrini aut Philetærei ad Roma-
              <lb/>
            num: </s>
            <s xml:id="echoid-s8798" xml:space="preserve">quamvis ipſæ perticæ omnino magnitudine eædem ſint. </s>
            <s xml:id="echoid-s8799" xml:space="preserve">He-
              <lb/>
            ro, ?</s>
            <s xml:id="echoid-s8800" xml:space="preserve">
              <unsure/>
            ?</s>
            <s xml:id="echoid-s8801" xml:space="preserve">??</s>
            <s xml:id="echoid-s8802" xml:space="preserve">??</s>
            <s xml:id="echoid-s8803" xml:space="preserve">&</s>
            <s xml:id="echoid-s8804" xml:space="preserve">
              <unsure/>
            ?</s>
            <s xml:id="echoid-s8805" xml:space="preserve">
              <unsure/>
            ?</s>
            <s xml:id="echoid-s8806" xml:space="preserve">?? </s>
            <s xml:id="echoid-s8807" xml:space="preserve">
              <lb/>
            ?</s>
            <s xml:id="echoid-s8808" xml:space="preserve">??</s>
            <s xml:id="echoid-s8809" xml:space="preserve">?? </s>
            <s xml:id="echoid-s8810" xml:space="preserve">?</s>
            <s xml:id="echoid-s8811" xml:space="preserve">??</s>
            <s xml:id="echoid-s8812" xml:space="preserve">??</s>
            <s xml:id="echoid-s8813" xml:space="preserve">??</s>
            <s xml:id="echoid-s8814" xml:space="preserve">??</s>
            <s xml:id="echoid-s8815" xml:space="preserve">@?</s>
            <s xml:id="echoid-s8816" xml:space="preserve">?,
              <lb/>
            ?</s>
            <s xml:id="echoid-s8817" xml:space="preserve">??</s>
            <s xml:id="echoid-s8818" xml:space="preserve">??</s>
            <s xml:id="echoid-s8819" xml:space="preserve">?@?</s>
            <s xml:id="echoid-s8820" xml:space="preserve">?@ Calamus, ha-
              <lb/>
            bet Philetæreos pedes decem, Italicos duodecim. </s>
            <s xml:id="echoid-s8821" xml:space="preserve">Ut plane noſter
              <lb/>
            pes decumanus Alexandrino æqualis ſit, cum Rhynlandicus Ro-
              <lb/>
            mano par ſit. </s>
            <s xml:id="echoid-s8822" xml:space="preserve">Atque hic tamen à conſueta appellatione non rece-
              <lb/>
            dimus, ut {1/10} Calami ſeu perticæ pedem, & </s>
            <s xml:id="echoid-s8823" xml:space="preserve">hujus pedis {1/10} digitum
              <lb/>
            vocemus. </s>
            <s xml:id="echoid-s8824" xml:space="preserve">Ea autem numeratione & </s>
            <s xml:id="echoid-s8825" xml:space="preserve">enuntiatione hoc aſſequimur,
              <lb/>
            ut ſolis integris numeris, non intercurrentibus partium particulis,
              <lb/>
            omnis calculus abſolvatur, neque conſuetam integrorum numera-
              <lb/>
            tionem quidquam turbent. </s>
            <s xml:id="echoid-s8826" xml:space="preserve">Exemplum, ſi quæratur 1575 digiti in
              <lb/>
            longum exporrecti quot ſint decempedæ? </s>
            <s xml:id="echoid-s8827" xml:space="preserve">Cum in pertica vel no-
              <lb/>
            ſtra decempeda ſint digiti centum, efficientur 15 decempedæ no-
              <lb/>
            ſtræ, 75 digiti; </s>
            <s xml:id="echoid-s8828" xml:space="preserve">hi per decem diviſi, tot enim digiti pedem effici-
              <lb/>
            ciunt, dabunt pedes 7. </s>
            <s xml:id="echoid-s8829" xml:space="preserve">digitos 5. </s>
            <s xml:id="echoid-s8830" xml:space="preserve">itaque ſola diſtinctione omniæ
              <lb/>
            iſta exprimentur, hoc modo 15, 7, 5. </s>
            <s xml:id="echoid-s8831" xml:space="preserve">Et contra idem numerus
              <lb/>
            non interrupto ordine in digitos vertetur, hoc modo, 1575 digiti. </s>
            <s xml:id="echoid-s8832" xml:space="preserve">
              <lb/>
            eodem modo intervallum ſtationum, quod diximus eſſe perticarum
              <lb/>
            326 pedum 4, ſecundum iſtam menſuram decumanam expreſſi, &</s>
            <s xml:id="echoid-s8833" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum