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

Table of Notes

< >
< >
page |< < (381) of 795 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div268" type="section" level="1" n="268">
          <pb o="381" file="0395" n="395" rhead="DEMAGNITUDINE TERRÆ."/>
        </div>
        <div xml:id="echoid-div269" type="section" level="1" n="269">
          <head xml:id="echoid-head305" xml:space="preserve">XI.
            <emph style="sc">Problema.</emph>
          </head>
          <head xml:id="echoid-head306" style="it" xml:space="preserve">Triangulum M X S. Oude-Watera, Woerda,
            <lb/>
          Gouda.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          Per problema X datur M X diſtantia inter Oude- \\ Wateram & Woerdam # 1891. # 4.
            <lb/>
          Ex obſervatis autem angulus X M S # 104 gr. # 14 ſcr.
            <lb/>
          Et angulus X S M # 28 gr. # 25 ſcr.
            <lb/>
          Inde angulus S X M datur # 47 gr. # 21 ſcr.
            <lb/>
          Atque hinc per triangulorum doctrinam dabitur la- \\ tus S X diſtantia inter Goudam & Woerdam # 3852. # 5.
            <lb/>
          Et latus M S diſtantia inter Oude Wateram & Gou- \\ dam # 2923. # 3.
            <lb/>
          Atque eadem antea Problemate 8 inventa eſt # 2921. # 3.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s9124" xml:space="preserve">Quare hujus & </s>
            <s xml:id="echoid-s9125" xml:space="preserve">illius differentia eſt duntaxat decempedarum
              <lb/>
            duarum ad quam vicinitatem me perventurum ne ſperare quidem
              <lb/>
            auſus fuiſſem. </s>
            <s xml:id="echoid-s9126" xml:space="preserve">Cum diſtantia prima inter Oude Wateram & </s>
            <s xml:id="echoid-s9127" xml:space="preserve">Mont-
              <lb/>
            fortium tam anguſtis principiis ſit derivata. </s>
            <s xml:id="echoid-s9128" xml:space="preserve">Nam problemate IX di-
              <lb/>
            ſtantia inter Oude-Wateram & </s>
            <s xml:id="echoid-s9129" xml:space="preserve">Montfortium ex a o baſe trianguli
              <lb/>
            166 decempedarum, & </s>
            <s xml:id="echoid-s9130" xml:space="preserve">angulo adjacente e o a 81 gr. </s>
            <s xml:id="echoid-s9131" xml:space="preserve">57 ſcr. </s>
            <s xml:id="echoid-s9132" xml:space="preserve">ad-
              <lb/>
            modum amplo inventa eſt o e. </s>
            <s xml:id="echoid-s9133" xml:space="preserve">atqui iſtic tangentes & </s>
            <s xml:id="echoid-s9134" xml:space="preserve">ſecantes
              <lb/>
            admodum magnis differentiis augentur, ut exiguus error illic quo-
              <lb/>
            que periculoſus ſit. </s>
            <s xml:id="echoid-s9135" xml:space="preserve">Hic enim unius ſolum ſcrupuli error e tantilla
              <lb/>
            baſe 166 decempedarum, adjiciet decempedas duas cum ſemiſſe. </s>
            <s xml:id="echoid-s9136" xml:space="preserve">Si
              <lb/>
            enim angulus e o a illic aſſumatur 81 gr. </s>
            <s xml:id="echoid-s9137" xml:space="preserve">56 ſcr. </s>
            <s xml:id="echoid-s9138" xml:space="preserve">tum o e erit decem-
              <lb/>
            pedarum 1183. </s>
            <s xml:id="echoid-s9139" xml:space="preserve">0. </s>
            <s xml:id="echoid-s9140" xml:space="preserve">ſi 81 gr. </s>
            <s xml:id="echoid-s9141" xml:space="preserve">57 ſcr. </s>
            <s xml:id="echoid-s9142" xml:space="preserve">1185. </s>
            <s xml:id="echoid-s9143" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9144" xml:space="preserve">ſi 81 gr. </s>
            <s xml:id="echoid-s9145" xml:space="preserve">58 ſcr. </s>
            <s xml:id="echoid-s9146" xml:space="preserve">1187.
              <lb/>
            </s>
            <s xml:id="echoid-s9147" xml:space="preserve">8 atque ita deinceps porro magis magisque. </s>
            <s xml:id="echoid-s9148" xml:space="preserve">Ut tantum, & </s>
            <s xml:id="echoid-s9149" xml:space="preserve">am-
              <lb/>
            plius committi potuerit in Goudæ & </s>
            <s xml:id="echoid-s9150" xml:space="preserve">Oude-Wateræ intervallo, ſi
              <lb/>
            vel hic uno aut altero ſcrupulo erratum eſſet, quod tamen in hac
              <lb/>
            Gæodæſia addicere non eſſem auſus, ob impedimenta quædam illic
              <lb/>
            in campo nobis objecta. </s>
            <s xml:id="echoid-s9151" xml:space="preserve">Hanc autem difficultatem ubique decli-
              <lb/>
            navi, talem locorum poſitum captando, ubi nullus angulus in an-
              <lb/>
            guſtum cogeretur, ne inde nobis reliquus calculus evaderet lubri-
              <lb/>
            cus. </s>
            <s xml:id="echoid-s9152" xml:space="preserve">Attamen in hoc ipſo noſtræ diligentiæ ſpecimen elucet, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum