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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Von verbeß. Fernröhren.
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{m a/m - 1}, q
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φ = {m
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a
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/(m - 1}
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X {m - 1/m
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} X
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{1/a
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} X {1/2}e
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= {e
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/2(m - 1)ma}.</
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<
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<
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">Nun aber wollen wir aus dem vorigen
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Werthe des {1/q} noch einen Zuſatz ziehen, der
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uns für jenen Fall dienen wird, da die Licht-
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ſtraalen durch zwey Flächen, oder durch eine
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Linſe durchfahren müſſen.</
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<
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">IV Zuſatz. </
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<
s
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">Wenn in der Länge A G
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eine ſehr kleine Veränderung geſchieht, ſo wird
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die Veränderung, die daraus in A H erfolget,
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ſich zu jener verhalten, wie A H
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zu m X
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A G.</
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<
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">Weil {1/q} = {m - 1/m a} + {1/m p}, und
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{m - 1/m a} eine beſtändige Größe iſt, mithin auch
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alſo verbleibt, da A G = p wächſt, oder ab-
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nimmt; </
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">iſt nothwendig die Aenderung des {1/q}
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mit der Veränderung der andern unbeſtändigen
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Größe {1/m p} gleich, das iſt {d q/q
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} = {d p/m p
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}, mit
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hin haben wir d q : </
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: </
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= A H
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:
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</
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.</
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