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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1.0RC
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xml:lang
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de
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free
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<
pb
o
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37
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file
="
0041
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n
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41
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rhead
="
Von verbeß. Fernröhren.
"/>
<
p
>
<
s
xml:id
="
echoid-s444
"
xml:space
="
preserve
">{1/R} = {M - 1/g} + {1/r} = {M - 1/g} + {m - 1/f} +
<
lb
/>
{1/p} = {1/H} + {1/h} + {1/p}.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s445
"
xml:space
="
preserve
">ρ + {m - 1/m} ({m
<
emph
style
="
super
">3</
emph
>
/f
<
emph
style
="
super
">3</
emph
>
} - {2 m
<
emph
style
="
super
">2</
emph
>
+ m/a f
<
emph
style
="
super
">2</
emph
>
} + {m + 2/a
<
emph
style
="
super
">2</
emph
>
f} +
<
lb
/>
{3 m
<
emph
style
="
super
">2</
emph
>
+ m/p f
<
emph
style
="
super
">2</
emph
>
} - {4 m + 4/a p f} + {3 m + 2/p
<
emph
style
="
super
">2</
emph
>
f}) {1/2} e
<
emph
style
="
super
">2</
emph
>
. </
s
>
<
s
xml:id
="
echoid-s446
"
xml:space
="
preserve
">
<
lb
/>
σ = {M - 1/M} ({M
<
emph
style
="
super
">3</
emph
>
/g
<
emph
style
="
super
">3</
emph
>
} - {2 M
<
emph
style
="
super
">2</
emph
>
+ M/c g
<
emph
style
="
super
">2</
emph
>
} +
<
lb
/>
{M + 2/c
<
emph
style
="
super
">2</
emph
>
g} + {3 M
<
emph
style
="
super
">2</
emph
>
+ M/r g
<
emph
style
="
super
">2</
emph
>
} - {4 M + 4/c r g} +
<
lb
/>
{3 M + 2/r
<
emph
style
="
super
">2</
emph
>
g}) {1/2} e
<
emph
style
="
super
">2</
emph
>
.</
s
>
<
s
xml:id
="
echoid-s447
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s448
"
xml:space
="
preserve
">Die Brennweite des erſten Glaſes allein
<
lb
/>
r - r
<
emph
style
="
super
">2</
emph
>
x {m a/q
<
emph
style
="
super
">2</
emph
>
- r
<
emph
style
="
super
">2</
emph
>
ρ.</
s
>
<
s
xml:id
="
echoid-s449
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s450
"
xml:space
="
preserve
">Gemeine Brennweite beyder Gläſer zuſam-
<
lb
/>
men R - R
<
emph
style
="
super
">2</
emph
>
({m a/q
<
emph
style
="
super
">2</
emph
>
+ β/r
<
emph
style
="
super
">2</
emph
>
+ M γ/Q
<
emph
style
="
super
">2</
emph
>
}) - R
<
emph
style
="
super
">2</
emph
>
<
lb
/>
(ρ + σ).</
s
>
<
s
xml:id
="
echoid-s451
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s452
"
xml:space
="
preserve
">56. </
s
>
<
s
xml:id
="
echoid-s453
"
xml:space
="
preserve
">II Zuſatz. </
s
>
<
s
xml:id
="
echoid-s454
"
xml:space
="
preserve
">Für Parallelſtraalen, oder
<
lb
/>
die aus einem weit genug entlegenen Puncte kom.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s455
"
xml:space
="
preserve
">men, läßt man nur jene Theile aus, die mit p
<
lb
/>
dividirt ſind, und ſetzet anſtatt {1/r} allein {m - 1/f}. </
s
>
<
s
xml:id
="
echoid-s456
"
xml:space
="
preserve
">
<
lb
/>
Das übrige bleibt, wie zuvor; </
s
>
<
s
xml:id
="
echoid-s457
"
xml:space
="
preserve
">nur für das σ
<
lb
/>
kann man ſchreiben
<
lb
/>
σ = {M - 1/M} ({M
<
emph
style
="
super
">3</
emph
>
/g
<
emph
style
="
super
">3</
emph
>
} - {2 M
<
emph
style
="
super
">2</
emph
>
+ M/c g
<
emph
style
="
super
">2</
emph
>
} + {M + 2/c
<
emph
style
="
super
">2</
emph
>
</
s
>
</
p
>
</
div
>
</
text
>
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echo
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