Bošković, Ruđer Josip, Abhandlung von den verbesserten dioptrischen Fernröhren aus den Sammlungen des Instituts zu Bologna sammt einem Anhange des Uebersetzers

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              <pb o="69" file="0073" n="73" rhead="Von verbeß. Fernröhren."/>
            + {1/f} = - {d M/a m} X {1/g} verändert ſich in folgende
              <lb/>
            {f′/f
              <emph style="super">2</emph>
            } (1 - {M - 1/m - 1} X {d m/d M})
              <emph style="super">2</emph>
            + {1/f} = -
              <lb/>
            {d M/d m} X {1/g}, oder {1/g} = - {1/f} X {d m/d M} (1 -
              <lb/>
            {M - 1/m - 1} X {d m/d M)
              <emph style="super">2</emph>
            + 1). </s>
            <s xml:id="echoid-s816" xml:space="preserve">Vermöge dieſes neuen
              <lb/>
            Werthes des {1/g} wird der aus der ungleichen
              <lb/>
            Straalenbrechung herrührende Fehler ſowohl bey
              <lb/>
            dem Objective, als bey dem Augenglaſe vermie-
              <lb/>
            den; </s>
            <s xml:id="echoid-s817" xml:space="preserve">doch nur für einen Punkt des Gegenſtan-
              <lb/>
            des, der in der Achſe des Fernrohres liegt: </s>
            <s xml:id="echoid-s818" xml:space="preserve">es
              <lb/>
            beträgt aber dieſe Verbeſſerung ſo wenig, daß
              <lb/>
            man ſie faſt außer Acht laſſen kann. </s>
            <s xml:id="echoid-s819" xml:space="preserve">Ja wenn
              <lb/>
            man ſich auch wirklich ihrer gebraucht, ſo ver-
              <lb/>
            harret annoch der Fehler bey dem Augenglaſe
              <lb/>
            für alle Straalen, die außer der Mitte einfal-
              <lb/>
            len; </s>
            <s xml:id="echoid-s820" xml:space="preserve">und zwar für die, welche nahe an dem
              <lb/>
            Rande des Kreiſes durchfahren, der die Größe
              <lb/>
            beſtimmt, welche man überſchen kaun, ziemlich
              <lb/>
            groß, daß auch durch die dollondiſchen Fern-
              <lb/>
            röhre das Bild des Gegenſtandes gefärbt erſchet-
              <lb/>
            net. </s>
            <s xml:id="echoid-s821" xml:space="preserve">Wir werden dieſes bey Gelegenheit un-
              <lb/>
            terſuchen: </s>
            <s xml:id="echoid-s822" xml:space="preserve">unterdeſſen wird genug ſeyn zu </s>
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