Logarithmic scales of measurement | Logarithms

Slide rule scale

A slide rule scale is a line with graduated markings inscribed along the length of a slide rule used for mathematical calculations. The earliest such device had a single logarithmic scale for performing multiplication and division but soon an improved technique was developed which involved two such scales sliding alongside each other – hence the name slide rule (colloquially called a slipstick in the United States). Later, multiple scales were provided with the most basic being logarithmic but with others graduated according to the mathematical function required. Few slide rules have been designed for addition and subtraction, rather the main scales are used for multiplication and division and the other scales are for mathematical calculations involving trigonometric, exponential and, generally, transcendental functions. Before they were superseded by electronic calculators in the 1970s slide rules were an important type of portable calculating instrument. (Wikipedia).

Slide rule scale
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Basic slide rule theory and use (Part 2): CI scale

The second of a series of videos explaining the basic slide rule. This video explains the CI scale and its basic uses. Basic slide rule playlist: https://www.youtube.com/playlist?list=PL_qcL_RF-ZyvJYtIr9NRXJX958d6BgdbN All my slide rule videos: https://www.youtube.com/playlist?list=PL_q

From playlist Basic slide rule theory and use

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Overview of fancier slide rules (folded scales, extended scales, LL scales)

Want to "level-up" your slide-rule ability? This video is a short introduction to the more advanced scales found on scientific slide rules. I think it's one of my best videos. It gives an overview of folded scales (e.g. CF/DF), extended scales (e.g. ST/T2), and log-log scales (LL). This v

From playlist Learn the slide rule from Professor Herning

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Pythagorean (P) Scale on slide rules

This video explains the theory and use of the Pythagorean "P" scale on some slide rules. While rare on American rules, it was fairly common on slide rules from elsewhere (especially on "Darmstadt" style and other sophisticated rules). Slide Rule Playlist (starts with basic videos): Playli

From playlist All Slide Rule Videos

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Basic slide rule theory and use (Part 1): C and D scales

The first of a series of videos explaining the basic slide rule. I'm not an expert -- I'm also not old enough to have learned slide rule use in school. This series of videos aims to be the set of videos I would have enjoyed while learning about the slide rule -- it assumes some mathematica

From playlist Learn the slide rule from Professor Herning

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Basic slide rule theory and use (Part 4): Proportions -- A,B,C,D Revisited

The fourth of a series of videos explaining the basic slide rule. This video revisits the elementary scales for solving proportions. Basic slide rule playlist: https://www.youtube.com/playlist?list=PL_qcL_RF-ZyvJYtIr9NRXJX958d6BgdbN All my slide rule videos: https://www.youtube.com/play

From playlist Basic slide rule theory and use

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Log-Log (LL/LL0) scales in detail

This video explains the Log-Log (LL) scales on the slide rule in more detail than my earlier video ("Overview of fancier slide rules"). These scales are for computing arbitrary powers and logarithms. I finish by solving an exponential decay problem. Mannheim and Rietz type rules usually d

From playlist All Slide Rule Videos

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Basic slide rule theory and use (Part 3): Square and Cube scales A, B, & K

The third of a series of videos explaining the basic slide rule. This video explains the A, B, and K scales and their basic uses. Basic slide rule playlist: https://www.youtube.com/playlist?list=PL_qcL_RF-ZyvJYtIr9NRXJX958d6BgdbN All my slide rule videos: https://www.youtube.com/playlis

From playlist Basic slide rule theory and use

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W Scales -- Faber Castell 2/83 Style

I describe the usage of the double length W scales which give a 5" slide rule the precision of a 10" and a 10" slide rule the precision of a 20". My apologies for the wacky brightness -- after YouTube killed the video editor, it's a bit harder to work with the raw video.

From playlist All Slide Rule Videos

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Two operations with one slide using folded scales

This video gives a technique for computing any sequence of two multiplications/divisions, in any order, on a slide rule with a full set of folded scales (you need C/D/CI/CF/DF/CIF). This increases the accuracy of the result versus using the naive method of one setting per operation. I'm n

From playlist All Slide Rule Videos

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Basic slide rule theory and use (Part 5): Chaining and S/T/L scales

The fifth (and final) of a series of videos explaining the basic slide rule. This video explains how to chain operations and how to use scales S, T, and L. Basic slide rule playlist: https://www.youtube.com/playlist?list=PL_qcL_RF-ZyvJYtIr9NRXJX958d6BgdbN All my slide rule videos: https

From playlist Basic slide rule theory and use

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A Tour of the Pickett Slide Rule Universe

I take a look through my Pickett slide rule collection for all of the Pickett fans out there. Note: the 902 slide rule frame is 1+1/4 inch, not 1 inch as stated.

From playlist All Slide Rule Videos

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Trigonometry on Euro-style (Darmstadt, studio, 2/83, etc.) slide rules

This video discusses trigonometry again, this time using a slide rule with trigonometric functions on the base instead of the slide. I discuss direct reading the trig. functions, multiplying and dividing them, and the solution of various triangles. At the end is a very efficient procedure

From playlist All Slide Rule Videos

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Reinventing the magic log wheel: How was this missed for 400 years?

Today is about reinventing a really cool mathematical wheel and its many different slide rule incarnations, just using a rubber band. 00:00 Intro 04:40 Multiply! 06:02 Pi times e 07:15 Divide! 08:39 Sliding rules 10:53 Apollo 11:08 Star Trek 11:45 Rubber band proof 13:13 Logarithms 16:50

From playlist Recent videos

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System Wern ABC Slide Rule 1/3 -- Overview

The first part of a three part series on the System Wern ("ABC") slide rule. I introduce this unique circular slide rule which tracks the decimal point of your calculation! Correction/clarification: I list the U/V scales twice. According to the manual these are the conversion scales. They

From playlist All Slide Rule Videos

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Post 1462H / Hemmi 159 and a slide rule conspiracy!

I describe the interesting Post 1462H slide rule and its predecessor/successor. I present the theory that these slide rules inspired a certain model popular in Europe.

From playlist All Slide Rule Videos

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Circular Slide Rules: Faber Castell 8/10 + Sama & Etani Model 90

I take a look at a couple circular slide rules and discuss some pros and cons. There are a few errors: - The Gilson "binary" slide rules are thus named for having a scale of binary fractions (denominators that are powers of 2), not for have the double, caliper-style cursor. - The A and B

From playlist All Slide Rule Videos

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Distance on the Slide Rule: Algebraic Expressions using Trig. Part 1/2

I show how to compute length or distance on the slide rule in 2 and 3 dimensions using the trigonometric scales S and T. Specifically, I show how to efficiently calculate: sqrt(a^2+b^2) AND sqrt(a^2+b^2+c^2) The latter calculation I have never seen in a manual or online, although I'm sur

From playlist All Slide Rule Videos

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Slide Rule Roundup -- Non-Duplex Scale Sets

A quick look at the common layouts of non-duplex slide rules: Mannheim, Rietz, Darmstadt, and a few others for good measure. Notes: - I accidentally said "Rietz" in one place where I should have said "Darmstadt."

From playlist All Slide Rule Videos

Related pages

Level of measurement | Tangent | Transcendental function | Square (algebra) | E (mathematical constant) | Radian | Cube (algebra) | Division (mathematics) | Power of 10 | Degree (angle) | Multiplication | Logarithmic scale | Pi | Infinity | Cosine | Slide rule | Trigonometric functions | Natural logarithm | Square root | Horsepower | Common logarithm | Multiplicative inverse