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

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          <pb o="371" file="0385" n="385" rhead="DE MAGNITUDINE TERRÆ."/>
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            <lb/>
          quod è duobus rectis reliquum deſideratur, illud adjiciatur anguſo \\ E A S, ſitque is # 50 gr. # 24 ſcr.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s8969" xml:space="preserve">Id enim ad rei ſummam hic nihil admodum facit. </s>
            <s xml:id="echoid-s8970" xml:space="preserve">Ita enim non
              <lb/>
            ſemper omnia ad minutum redire mirum nemini videri debet, cum
              <lb/>
            turrium quantumvis longe diſſitarum aliqua ſit latitudo, & </s>
            <s xml:id="echoid-s8971" xml:space="preserve">in ocu-
              <lb/>
            lo obſervantis ſaltem aliquem notabilem angulum ſubtendat. </s>
            <s xml:id="echoid-s8972" xml:space="preserve">Ut
              <lb/>
            hoc clarius intelligatur, ſtatuamus turrim latitudine trium decem-
              <lb/>
            pedarum à nobis abeſſe intervallo decempedarum 4103. </s>
            <s xml:id="echoid-s8973" xml:space="preserve">Concipia-
              <lb/>
            mus itaque animo triangulum rectangulum, cujus hæc ipſa ſunt
              <lb/>
            crura, unde angulus, quem turris Hagienſis latitudo in turri Lei-
              <lb/>
            denſis curiæ ſubtendit, dabitur 0 gr. </s>
            <s xml:id="echoid-s8974" xml:space="preserve">2 ſcr. </s>
            <s xml:id="echoid-s8975" xml:space="preserve">31. </s>
            <s xml:id="echoid-s8976" xml:space="preserve">ſecundorum. </s>
            <s xml:id="echoid-s8977" xml:space="preserve">Ac ta-
              <lb/>
            metſi per dioptrarum crenas ad mediam turrium latitudinem colli-
              <lb/>
            neationem dirigere ſummo ſtudio coneris, radii illic quaſi in an-
              <lb/>
            guſtiis verſantes rei viſibilis ſpeciem ita atterunt, ut ipſa pene e
              <lb/>
            conſpectu evaneſcat, vel ſaltem minus diſtincte cernatur. </s>
            <s xml:id="echoid-s8978" xml:space="preserve">Sin ve-
              <lb/>
            ro utrinque dioptrarum latera viſu ſtringas, tunc refractio ab hu-
              <lb/>
            moribus oculi nata collineanti quoque non nihil illudit. </s>
            <s xml:id="echoid-s8979" xml:space="preserve">Ut plane
              <lb/>
            nemini intelligenti mirum videri debeat, ipſa adeo ſcrupula non
              <lb/>
            ad libitum ſemper redire; </s>
            <s xml:id="echoid-s8980" xml:space="preserve">cum turres a ſe nullum ſplendorem fun-
              <lb/>
            dant, quo claritatem aliquam obſervantium oculis affundant. </s>
            <s xml:id="echoid-s8981" xml:space="preserve">Quin
              <lb/>
            illud potius magis mirandum exiſtimem, tam accurate omnia nobis
              <lb/>
            ad calculum veniſſe. </s>
            <s xml:id="echoid-s8982" xml:space="preserve">Atque ea de cauſa non temere, niſi in an-
              <lb/>
            guſtias adactus, ullum angulum in iſtis abacis in conſilium advocem,
              <lb/>
            qui ſit valde acutus. </s>
            <s xml:id="echoid-s8983" xml:space="preserve">Horum enim dolos, & </s>
            <s xml:id="echoid-s8984" xml:space="preserve">in his minimam hal-
              <lb/>
            lucinationem pertimeſco, & </s>
            <s xml:id="echoid-s8985" xml:space="preserve">ne quid vitii faciant ſedulus circum-
              <lb/>
            ſpicio. </s>
            <s xml:id="echoid-s8986" xml:space="preserve">In ratione enim minoris inæqualitatis, terminis multum
              <lb/>
            differentibus, facilis eſt lapſus & </s>
            <s xml:id="echoid-s8987" xml:space="preserve">periculoſus. </s>
            <s xml:id="echoid-s8988" xml:space="preserve">Error enim ex mi-
              <lb/>
            nore termino in majoribus fit multiplex. </s>
            <s xml:id="echoid-s8989" xml:space="preserve">Contra vero, cum angu-
              <lb/>
            li omnes erunt majuſculi, tum ratio magis opportuna eſt, & </s>
            <s xml:id="echoid-s8990" xml:space="preserve">errori
              <lb/>
            minus obnoxia. </s>
            <s xml:id="echoid-s8991" xml:space="preserve">Atque ideo ſi in iſtis anguli ſinguli uno aut altero
              <lb/>
            ſcrupulo augeantur, aut multentur, differentia in calculo haud per-
              <lb/>
            inde erit notabilis: </s>
            <s xml:id="echoid-s8992" xml:space="preserve">Quia ratio horum ſinuum ut proxime eadem ta-
              <lb/>
            men manet. </s>
            <s xml:id="echoid-s8993" xml:space="preserve">Atque ideo laterum oppoſitorum quantitatis differen-
              <lb/>
            tia à juſto non erit admodum diverſa. </s>
            <s xml:id="echoid-s8994" xml:space="preserve">Ut ea ſæpe ſit paucorum
              <lb/>
            duntaxat pedum, quæ ſemel hic monere viſum eſt, ne ſæ pius no-
              <lb/>
            bis eadem eſſent iteranda. </s>
            <s xml:id="echoid-s8995" xml:space="preserve">Multa enim occurrunt in turrium </s>
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