B What Replaced Mechanical Calculators Before Modern Calculators Were Invented?

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The discussion centers on the historical use of slide rules as a primary computational tool before the advent of modern calculators. Participants express nostalgia for slide rules, highlighting their educational value in promoting mental calculations and error-checking. The conversation also touches on the transition from slide rules to electronic calculators, noting the latter's convenience but potential for inaccuracies without user diligence. Various types of slide rules and their functions are mentioned, alongside anecdotes about their personal significance. Overall, the thread reflects a deep appreciation for these analog devices and their role in mathematical education.
  • #31
The “General Report On Tunny With Emphasis On Statistical Methods” (1945) from Bletchly Park, GCCS, includes the following inventory item and comment;

“Section 57. Simple Machines.
(a) Slide-rules.
The operations required are multiplication, division, squaring, extracting square roots, and taking logarithms to base 10. Many of the slide-rules used lack logarithms, and have elaborate useless scales.”


Obviously the scales A, B, C & D had no meaning to the author, while the L scale on the rear was not Log because it was Linear !
 
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  • #32
Baluncore said:
Obviously the scales A, B, C & D had no meaning to the author, while the L scale on the rear was not Log because it was Linear !
Ah the nostalgia. You motivated me to take down my old Post from the wall to see what scales it had. When I used it actively, I knew the purpose of all those scales and I found productive uses for them.

Here are the scale labels:

ex LL0 0.001→0.01
e-x LL/0 -0.001→-0.01
K
DF
CF
CIF
CI
C
D
R1
R2
L
e-x LL/1
e-x LL/2
e-x LL/3
T T
sec T ST
Cos S
e-x LL/1 -0.01→-0.1
e-x LL/2 -0.1→-1.0
e-x LL/3 - 1.0→-10.0
C
X D
ex LL1 1.0→10.0
ex LL2 0.1→1.0
ex LL3 0.01→0.1
 
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  • #33
Keith_McClary said:
That's nothing. I had to use an abacus and record intermediate results on a clay tablet with a stylus.

gmax137 said:
Lucky bastid! We could only dream of having a stylus
Luxury! We could only count on our fingers...
 
  • #34
Mark44 said:
Luxury! We could only count on our fingers...
Fingers? You had fingers? Why, when I was a lad we hadn't yer evolved fingers...
 
  • #35
There are a couple of good historical references here;
“From webbed fingers to the World Wide web” and “From dactylonomy to binary arithmetic”. Both by the scientist and author; Sly Drool.
 
  • #36
Janus said:
Not a slide rule, but an old style "flight computer"

Your post inspire me to look on eBay where I found a Concise Circular sliderule that I bought. Concise still has a website and still sells circulars. This one is a model 300 with a 4” diameter which makes it have the roughly same resolution as a 12” stick sliderule.

There are two kinds of circulars that I have found. The first a Post uses two connected cursors. Place one on the index’s point of the scale and the other on the number then use them together preserving the angle to find the second number and at the other end you’ll find the answer.

The concise uses two rotating discs where you move one the smaller disk index point to the first number and then line the cursor on the second number on the smaller disk and read the answer on the larger disk under the cursor.
 
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  • #37
jedishrfu said:
Your post inspire me to look on eBay where I found a Concise Circular sliderule that I bought.
Cool. Post a picture.
 
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  • #38
slide-rule-no300-b.jpg

https://www.sliderule.tokyo/products/detail.php?product_id=8
 
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  • #39
Very nice. You can challenge your students with that.

Keep it clean and treat it gently so that the markings don't erode.
 
  • #41
Ibix said:
$3200! :)):)):)):))
3200 JPY = $29.34
 
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  • #42
The fact that Concise is still in business is remarkable. From what I know they have no real market, as with every other kinds of slide rule, and only serve as collectibles nowadays. Even Hemmi(a major Japanese slide rule manufacturer alongside Concise, many of it's products known as POST in the west)has turned into a small enterprise selling PCBs, with almost no evidence of its former glory besides its company name.

https://www.hemmi-inc.co.jp/english/

So either Concise made too many of them and had to get rid of them for decades or maybe there is actually someone buying them for genuine calculation purposes, I think.
 
  • #43
My slide rule collection, plus an HP 11-C that my brother gave me, and that uses RPN (reverse Polish notation).
The yellow one is a Pickett that I've had since the early 60s. The third one down is also a Pickett that someone gave me. Besides the L scale, which I remember using, it also has LL0, LL00, LL1, LL2, and LL3 scales that I'm not familiar with. The one at the bottom belonged to my wife's father.
IMG_1999.JPG
 
  • #44
anorlunda said:
Keep it clean and treat it gently so that the markings don't erode.
I always used to put a little talcum powder on my linear rule (probably give me lung cancer!).
 
  • #45
Mark44 said:
The third one down is also a Pickett that someone gave me.
Yeah I spent many anguished hours on that machine. As I recall the HP 35 Calculator was around $400 ...too rich for my sophomore self.
 
  • #47
@Mark44 here’s a discussion on the slide scale functions including the LL series.

https://www.math.utah.edu/~alfeld/sliderules/

In high school, a chemistry teacher taught me those after school. I used them in Ph calculations but don’t remember much beyond that.

I also remember using them in an approximation scheme starting with the answer and twiddling the slide to find when the two operands were the same. As an example, the trick could be used to find square roots using the C and D scales that were slightly more accurate but I remember using them on other scales too.
 
  • #48
Mark44 said:
The one at the bottom belonged to my wife's father.
The one on the bottom was a Post rule. That's the kind I had. (see #22 in this thread.) Post was made of bamboo, compared to metal for Pickets or plastic for other brands. Undergrads took great delight arguing which was best.

Bamboo would shrink or swell with the humidity, so the screws holding it tight had to be adjusted often. If I remember, the surface of the metal Pickett was more vulnerable to scratches and abuse.

I too bought a HP-35 on the first day they came out, and I took it with me to Finland on a business trip that same day. I was the envy of every engineer in all of Finland that day.

Does anybody have a fond memory of the mechanical calculators the HP-35 replaced? I hated them, and I hated the noise they made. Slide rules were far superior unless you needed many more digits of precision.
1620579759387.png
 

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