REISS, Bad Liebenwerda / (GDR) Germany (1970)
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VERSION (A)
SCALES of the R E I S S (DECELITH) » D U P L E X « Model 3227
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Front Side [ inverse / RED ] Back Side
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[LL00] [exp(-0.001X)] K X3
[LL01] [exp(-0.01X)] T1 tan(0.1X)
[LL02] [exp(-0.1X)] T2 tan(X)
[LL03] [exp(-X)] [DI] [1/X]
DF πX A X2
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CF πX Sh1 SinH(0.1X) <0.1 .. 0.9>
[CIF] [1/πX] Sh2 SinH(X) <0.85 .. 3>
[BI] [1/X2] Th TanH(0.1X) <0.1 .. 3>
[CI] [1/X] Sz sin(0.1X)
C X C X
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D X D X
LL3 exp(X) Sk sin(0.1X)
LL2 exp(0.1X) [P] [sqrt(1 - (0.1X)2)]
LL1 exp(0.01X) ST arc(0.01X)
LL0 exp(0.001X) L lgX
R E M A R K S :
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With its 30 scales it belongs to the most »loaded« slide rules!
The DEFINITIVE FORMS for the HYPERBOLIC FUNCTIONS are:
CosH(X) = ( exp(+X) + exp(-X) ) / 2 <== "Chain Line"
SinH(X) = ( exp(+X) - exp(-X) ) / 2 ( eg. suspension bridge )
TanH(X) = SinH(X) / CosH(X)
exp(X) = SinH(X) + CosH(X)
1 = CosH2(X) - SinH2(X)
CosH(X) = SinH(X) / TanH(X) = sqrt( 1 + SinH2(X) ) = H(X)
Using the Hyperbolic Functions:
Start with value on the Sh scales ==>> reading SinH on C scale,
start with value on the C scale ==>> reading ArcSinH on Sh.
Start with value on the Th scale ==>> reading TanH on C scale,
start with value on the C scale ==>> reading ArcTanH on Th.
Historical Remarks ...
Remarkable is (on the right lower corner) »GERMANY« (NOT »DDR«)
There is a NEWER VERSION (B) in the Collection:
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Details of the Front ...
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