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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dirt, das iſt, weil wegen der ſehr kleinen Seite
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X M, man S M und S X für gleich annehmen
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kann, durch die gedoppeite Seite S M, oder
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durch die gedoppelte S X dividirt: </
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<
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<
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<
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<
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</
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</
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<
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<
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<
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.</
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<
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<
s
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">Wenn die Richtung der einfallenden
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Straalen m M nach einem gegebenen Punkte G
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gehet, der in der Achſe A S O eines aus dem
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Mittelpunkte S beſchriebenen Circulbogens A M
<
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lieget, und ſie bey M alſo gebrochen werden,
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daß der Sinus des Einfallswinkels S M G ſich
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zu dem Sinus des Brechungswinkels S M H,
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wie m zu 1 verhält; </
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<
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ſtand des Brennpunkts H von dem A.</
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<
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</
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<
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">S G. </
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<
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">Weil aber
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S M G der Einfalls, und S M H der Brechungs-
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winkel iſt, ſo hat man auch . </
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<
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">. </
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S M G: </
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<
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<
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">mithin dieſe zwey
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Proportionen zuſammen geſetzt geben ſin. </
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ſin. </
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<
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<
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in dem Triangel S M H gleichfalls ſin. </
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(oder M S G): </
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folglich ſtehet auch M H: </
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S G.</
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,
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<
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</
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,
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<
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<
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</
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,
<
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<
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<
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>M</
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; </
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<
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>S</
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<
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>=</
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<
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>x</
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<
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<
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</
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</
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,
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<
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<
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<
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>G</
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<
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<
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>S</
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<
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>=</
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<
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>p</
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<
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>-</
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<
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</
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</
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, und (Lehnſatz)
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<
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<
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<
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>X</
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<
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>=</
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<
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<
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<
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<
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>e</
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<
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>2</
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</
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</
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<
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<
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>2</
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<
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>a</
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</
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</
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</
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</
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, mithin
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<
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<
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<
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<
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<
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<
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<
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>e</
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<
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>2</
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</
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</
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<
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<
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>2</
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<
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<
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>a</
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</
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</
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</
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</
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, </
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