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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iſt, die ganze Abweichung der Straalen von
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ihrem erſten Wege, mißt der Winkel GNL.</
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<
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xml:space
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">Wenn wir dieſe Winkel folgender
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Geſtalt ausdrücken, nämlich M F N = u,
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M F H = x, M H F = y, M H N = z,
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G N L = r, A C B = c, können wir die hier
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nachgeſetzte Lehnſätze mit ihrem Beweiſe her-
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aus ziehen,
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x + y = c
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u + z = c + r
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m ſin. </
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m ſin. </
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xml:space
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A F E + B H L = 180° - c - r.</
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<
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">Erſtens, in dem unregelmäüigen
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Vierecke M F C H, wegen der rechten Winkel
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bey H, und F, machen gleichfalls die Winkel
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bey M und C zwey rechte zuſammen; </
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aber macht der Winkel M mit M F H, und
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M H F eine gleiche Summe; </
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der Winkel C den zweyen M F H, M H F mit
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einander gleich ſeyn.</
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<
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">Zweytens. </
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die Winkel M F H + M H F, das iſt, x + y
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= c. </
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">Gleicher geſtalt ſind die innern Winkel
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N F H, N H F zuſammen dem äußern G N L,
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oder r gleich; </
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M F N + M H N den zweyen G N L + A C B
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gleich, das iſt, u + z = c + r.</
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<
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xml:space
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M H N (ſin. </
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<
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xml:space
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weil in dem erſten Verhältniſſe der erſte der
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Einfallswinkel, der zweyte der Brechungswin-
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kel im Eingange iſt; </
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