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="75" file="0079" n="79" rhead="Von verbeß. Fernröhren."/>
            {1/a} + {{m - 1/M - 1} X m
              <emph style="super">2</emph>
            - {d m
              <emph style="super">3</emph>
            /d M
              <emph style="super">3</emph>
            } X M
              <emph style="super">2</emph>
            + {d m
              <emph style="super">2</emph>
            /d M
              <emph style="super">2</emph>
            } X [3 m (M + 1) - M] - {d m/d M} X m (3 m + {2 m/M} - 2)/{m - 1/M - 1} X (1 + {2/m}) - {d m/d M} X (1 + {2/M}) = 0.</s>
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            <s xml:id="echoid-s872" xml:space="preserve">104. </s>
            <s xml:id="echoid-s873" xml:space="preserve">Nachdem man aus itzt gedachter Glei-
              <lb/>
            chung den Werth vom {1/a} gefunden hat, ſtehet
              <lb/>
            auch {1/b} = {1/a} - 1 = {1/c′}, und ferner {1/d} = -
              <lb/>
            {1/c} - {d m/d M}: </s>
            <s xml:id="echoid-s874" xml:space="preserve">endlich {1/R} = {M - 1/g} + {m - 1/f}
              <lb/>
            = - {d m/d M} X (M - 1) + (m - 1), dem
              <lb/>
            (83) zu folge, allwo man angenommen hat,
              <lb/>
            daß {1/f} = 1, und {1/p} = 0.</s>
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            <s xml:id="echoid-s876" xml:space="preserve">104 Hätte man ein zuſammen geſetztes Objectiv
              <lb/>
            zu ſuchen, deſſen Brennweite R gegeben iſt,
              <lb/>
            könnte man erſtlich a, b, c, d, R in allgemet-
              <lb/>
            nen Zahlen, die ſich auf keine gewiſſe Einheit
              <lb/>
            beziehen, ausdrücken, und nachmals ihren Werth
              <lb/>
            nach der gegebenen Größe durch die Regel detri
              <lb/>
            beſtimmen: </s>
            <s xml:id="echoid-s877" xml:space="preserve">oder man könnte das R, als eine
              <lb/>
            neue Einheit anſehen, und durch ſeinen gefunde-
              <lb/>
            nen Werth den Werth der übrigen dividiren.</s>
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