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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Abhandlung
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erhält man {1/b} = {1/u′} - {1/u} - m a ({1/b
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} - {1/q
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}),
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und {1/a} = {1/u″} - {1/u} - m a ({1/a
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} - {1/q
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}).
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<
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">Vermittels gegenwärtiger Gleichungen und der
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erſten aus den vorigen, läßt ſich die Sache auf
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folgende Weiſe zu Stande bringen.</
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<
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Gleichungen die letzten Theile, die nur eine kleine
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Verbeſſerung enthalten, beyſeits laſſen, und die
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ſich in denſelben befindenden Größen zum Unter-
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ſcheide a′, b′, f′, m′, q′
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nennen, ſo haben wir
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{1/a′} = {1/u″} - {1/u} # aus (133).
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{1/b′} = {1/u′} - {1/u}
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{1/f′} = {1/a′} + {1/b′} = {1/u′} + {1/u″} - {2/u} aus der
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Summe der lezten zweyen.</
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<
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">{1/m′ - 1} = {u/f′} = {u/u′} + {u/u″} - 2, aus der
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erſten (132).</
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<
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<
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">Die aus dieſen Formeln gefundenen
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Werthe {1/a′}, {1/b′}, {1/f′}, {1/m′ - 1}′, folglich auch m′,
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und {1/q′} = {1/a′} - {1/m′ a′}, geben uns neue Formeln,
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aus welchen wir die Verbeſſerten heraus brin-
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gen, nämlich</
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