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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tungen der Straalen an, ſo ſtehet m: </
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<
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xml:space
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ſin. </
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<
s
xml:id
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xml:space
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">{c + r/2}: </
s
>
<
s
xml:id
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xml:space
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">ſin. </
s
>
<
s
xml:id
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xml:space
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">{c + r′/2}; </
s
>
<
s
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xml:space
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">denn der gemein-
<
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ſchaftliche Denominator ſin. </
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<
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xml:space
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">{1/2} c kann ohne Ver-
<
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änderung des Verhältniſſes hinweg gelaſſen
<
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werden.</
s
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<
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</
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<
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<
s
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xml:space
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">Aus der Formel m = {ſin. </
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>
<
s
xml:id
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xml:space
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">{c + r/2}/ſin. </
s
>
<
s
xml:id
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xml:space
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">{1/2} c} läßt
<
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ſich auch finden d m = {coſ. </
s
>
<
s
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xml:space
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">{c + r/2}/2 ſin. </
s
>
<
s
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xml:space
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">{1/2} c} X d r. </
s
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<
s
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ſetze in der 15 Figur, daß E e, der kleine Un-
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Tab. I.</
note
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terſchied zwiſchen den Bögen B e, B E; </
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<
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xml:space
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E H zwiſchen ihren Sinus e f, E F ſey; </
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hat man C E: </
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<
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xml:space
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">C F = E e: </
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>
<
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xml:space
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">E H. </
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<
s
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xml:space
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">Nun aber
<
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gilt der halbe Durchmeſſer C E = 1, C F iſt
<
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der coſinus des Bogens B E, und E e iſt deſ-
<
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ſen Differenz: </
s
>
<
s
xml:id
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xml:space
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">wird demnach dieſer Bogen gleich
<
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mit {c + r/2}, in welcher Größe c unveränderlich
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bleibt, ſo wird ſeine Differenz E e = {1/2} d r,
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folglich die Differenz ſeines Sinus {c + r/2}, wird
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{1/2} coſ. </
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<
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xml:space
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<
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xml:space
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">Damit aber alle dieſe
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Größen aus den Sinustafeln können genom-
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men werden, wird man ſich anſtatt des </
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