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PICKETT & ECKEL   N4-ES   ( 10" / 25 cm Scales )



PICKETT & ECKEL INC., Chicago, ILL. / USA                    (1959)
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                                                        VERSION (B)

S C A L E S  of the   » ALL METAL VECTOR LOG LOG «      Model N4-ES
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Front Side             [ inverse / RED ]                  Back Side
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3rdRoot(X< 1;4;7 Digits,.. >)      LL1         10^0.001X;
3rdRoot(X< 2;5;8 Digits,.. >)      [LL-1]           [ 1/10^0.001X ]
3rdRoot(X< 3;6;9 Digits,.. >)      LL2         10^0.01X;
                                   [LL-2]            [ 1/10^0.01X ]
DF                         πX      DF/M                         X/M
-------------------------------------------------------------------
CF                         πX      CF/M                         X/M
[CIF]                  [1/πX]      TH  <0.1 .. 3>           TanH(X)
T1                  tan(0.1X)      SH1 <0.1 .. 0.88>     SinH(0.1X)
T2                     tan(X)      SH2 <0.88 .. 3>          SinH(X)
ST                 arc(0.01X)      LN  <0 .. 2.3>               lnX
S      sin(0.1X); [cos(0.1X)]      L   <0 .. 1.0>               lgX
[CI]                    [1/X]      [CI]                       [1/X]
C                           X      C                              X
-------------------------------------------------------------------
D                           X      D                              X
[DI]                    [1/X]      LL3         10^0.1X;
                                   [LL-3]             [ 1/10^0.1X ]
sqrt(X <  ODD-No-Digits > )        LL4         10^X;
sqrt(X < EVEN-No-Digits > )        [LL-4]                [ 1/10^X ]


There are  2   V E R S I O N S  of the » N4-ES « in the collection:
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Both have the print "COPYRIGHT 1959" on the sliders,
but  d i f f e r e n t   LOGOS,  END-PIECES  & CURSORS ...

Version (A)

     

Version (B)

     

R E M A R K S :
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This model is made of aluminum. It came with a leather case, which
can be clipped on the user's belt - typical for the USA: As seen in
the "Western Movies" ready for a "quick draw".

This slide rule has the typical "Pickett-Yellow" body: The "-ES" in
the model number means "Eye-Saver"; Models with the "-T"-Extension
(for "Traditional") have a white body.

With 34 scales it was one of the most sophisticated slide rules!

Using the "syncro" LOG-LOG-Scales:
The LogLog scales are designed as a uniquely, split long scale.
Because LL+/- are reciprocal, 2. & .5 (eg.) share the same tick.

The DF/M-Scale is folded at  1/M  where  e = 2.71828 = EulerConst.
M = lg(e) = 0.43429   and  1/M = ln(10) = 2.30259    IT FOLLOWS:

Using the D-Scale X, the LL-Scales result in Power-of-10( X ) 
Using the DF/M-Scale X, the LL-Scales result in Power-of-e( X ) 

Using the LL-Scales X, the D-Scale result in lgX
Using the LL-Scales X, the DF/M-Scale result in lnX

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.

There is no CosH(X) scale; make use of the definition:
  TanH(X) = SinH(X)/CosH(X)       ==>>    CosH(X) = SinH(X)/TanH(X)

Example:    CosH(0.345)  =  1.060
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With C and D indices coinciding, set the indicator over X on the SH
scale. Move slide until X on the TH scale is under the hairline.
Read CosH(X) on the D scale under the C index.

                   Historical Remarks ...
impressum:
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© C.HAMANN    http://public.beuth-hochschule.de/~hamann    07/23/11