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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            + {(m - 1) (3 M
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            + M)/f g
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            } - (m - 1) (4 M + 4)/c f g}
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            + {(m - 1)
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            (3 M + 2)/f
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            g}) {1/2}e
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            <s xml:id="echoid-s459" xml:space="preserve">57. </s>
            <s xml:id="echoid-s460" xml:space="preserve">II Anmerkung. </s>
            <s xml:id="echoid-s461" xml:space="preserve">Aus der Methode,
              <lb/>
            der wir uns die Formeln zu ſuchen gebraucht
              <lb/>
            haben, und aus den Formeln ſelbſt, wenn man
              <lb/>
            ſie mit gehöriger Aufmerkſamkeit betrachtet,
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            laſſen ſich ſehr viele Lehrätze herleiten, unter
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            welchen auch folgende ſind.</s>
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            <s xml:id="echoid-s463" xml:space="preserve">58. </s>
            <s xml:id="echoid-s464" xml:space="preserve">Wenn mehr Gläſer, derer Dicke nicht
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            zu rechnen iſt, unmittelbar an einander ſtehen,
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            und man die Größen, die wir in einer Linſe
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            (als zum Veyſpiele in der erſten) m, f, h ge-
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            nennet haben, durch m′, m″, &</s>
            <s xml:id="echoid-s465" xml:space="preserve">c f′, f″ &</s>
            <s xml:id="echoid-s466" xml:space="preserve">c
              <lb/>
            h′, h″, &</s>
            <s xml:id="echoid-s467" xml:space="preserve">c, und die Brennweite aller zu-
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            ſammen durch R andentet, wird man haben
              <lb/>
            {1/R} = {m - 1/f} + {m′ - 1/f′} + {m″ - 1/f″} &</s>
            <s xml:id="echoid-s468" xml:space="preserve">c +
              <lb/>
            {1/p} = {1/h} + {1/h′} + {1/h″} &</s>
            <s xml:id="echoid-s469" xml:space="preserve">c + {1/p}.</s>
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            <s xml:id="echoid-s471" xml:space="preserve">Es iſt doch zu merken, daß es nicht ange-
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            he, die Dicke der Gläſer alſo hindann zu ſetzen,
              <lb/>
            ſo fern derer Anzahl etwas @rößer, und die be-
              <lb/>
            ſondern Brennweiten etwas kleiner ſind.</s>
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            <s xml:id="echoid-s473" xml:space="preserve">59. </s>
            <s xml:id="echoid-s474" xml:space="preserve">Wenn man eine beliebige Anzahl der
              <lb/>
            Gläſer, was Gattung ſie immer ſeyn mögen,
              <lb/>
            an einander ſetzet, und derer Ordnung, oder
              <lb/>
            Flächen nach Belieben verwechſelt, ſo wird doch
              <lb/>
            für die der Achſe unendlich nahe einfallenden
              <lb/>
            Straalen allezeit eben dieſelbe Brennweite
              <lb/>
            verbleiben, die Dicke der Gläſer außer Acht ge-
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            laſſen.</s>
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