Step 1: What to Pay
Step 2: To Clean or Not to Clean?
Yes, an electronic calculator is faster and gives more accuracy to more numerical places, and a calculator does not require the user to know where the decimal point should be placed. But, I want to learn to use the scales I never learned to use when I was in school. It is a bit of a nostalgia thing for me. At one time I wanted to become an electrical engineer, but never did, and that is fine.
The metal parts on this slide rule show a green colored oxidation. I am using a pencil eraser to remove it. I know that often reduces the value of an old object. But, I want the rule to look nice for my use of it. I am not trying to sell it as an antique. In the photo you can see two of the three initials on the slider from the original owner. Using a pencil eraser on the plastic scales would scratch them unnecessarily.
Step 3: Terminology and Adjusting the Slide Rule
Good quality slide rules can be adjusted for accuracy. You may notice the DF and CF scales each begin with π. The C and D scales each begin with 1. There is a a corresponding inscribed mark on each scale. These should all align to form an absolutely straight line from the bottommost 1 upward continuously through the uppermost π. If they do not align, accuracy will be compromised. Loosen each adjustment screw a portion of a turn. Use a magnifying glass to be very accurate. Align the 1 on the C and on the D scales. Press a finger over the C and D scales so the slider cannot move. While holding that finger in place, nudge the upper body of the rule left or right until the marks for π on the CF and the DF scales align perfectly. Pinch the upper and lower rule body together against the slider and hold. How tightly you hold the body members together has an effect on how much pressure will be needed to move the slider in the body. Tighten the adjusting screws. Check again with a magnifying glass. When doing certain calculations, numbers are located on scales from the upper body, but the answer is read on a scale from the lower body. Proper alignment between the upper body and the lower body is crucial to accuracy.
If you look very closely, you may be able to see that the marks for 1 on the C and D scales align very well, but the mark for π on the DF scale is a tiny bit to the right of aligning properly with the mark for π on the CF scale.
Step 4: A Safe Working Environment
Step 5: No KERCS Disease Here
Some call this entire assembly the cursor. It is also called the indicator or the runner. The thin line on the glass is (as mentioned above) the hairline.
Step 6: Replacement Cursor Glass
Step 7: Scribing the Cursor Line
I had planned on covering the Plexiglass with masking tape and scribing through it. Then I planned to mask the rest of the whole piece of Plexiglass and spray it with black acrylic paint. When the paint dried I would pull the masking off and a thin black line would remain. That worked well in a trial run on a piece of scrap Plexiglass when scribing with the blade of a sharp pocket knife, but that hairline was a bit thicker than I wanted on this slide rule. As it happens, simply scribing the Plexiglass left a very nice hairline for this slide rule. I did experiment with darkening the hairline a little by rubbing the scribed side of the glass with paste shoe polish (black). The trick is to wipe the excess from the glass with a tissue without removing any from the scribe line. The shoe polish did darken the line a little, although just scribing a line with a carpet knife works quite well.
Step 8: Round the Corners and Fit
Round the corners by pulling along the sandpaper while rocking the opposite end of the Plexiglass upward. Check often against the glass retainer for fit.
One piece of glass worked out just right. The hairline aligned vertically across the scales of the slide rule just as it should. Somehow the hairline on the second glass appeared cocked to one side when installed in the retainer and screwed onto the rest of the cursor. I used sandpaper to grind away some of the Plexiglass on one side and one end so the glass had some movement in the cursor. Then I was able to align the glass properly and it stays in place perfectly after the screws on the retainer are tight. No cement was necessary to keep it in place. I think the original glasses were made a little undersize so that they could be adjusted. Ideally, when the hairline is aligned and over the left index on the front side of the rule, the hairline on the back side of the rule is also perfectly aligned over the left index. There are some calculations that require setting a number on a scale from the back side of the rule and transferring it to the front side of the rule simply by reading the hairline position on the front side of the rule without moving anything.
Step 9: Finished and Ready to Use
I now have a very nice fully functional slide rule for far less expense than if it had been sold in its present refurbished condition. I hope this Instructable will be an encouragement for those who want a good slide rule, but cannot afford one in nearly new condition, or who are frightened away from an auction for a basically sound rule with missing or damaged cursor glass.
Step 10: Basic Use
If you have never used a slide rule, it works on the principle of logarithms. Every number has a logarithm. When the logarithms of two numbers are added, the effect is the same as multiplying the one number by the other. Converting back to a number (antilogarithm) gives the product. A slide rule converts logarithms from digits to physical lengths on a scale. Moving the scales to add physical lengths allows the user to read the product of a multiplication problem on a corresponding scale.
The C and the D scales are identical to each other and are commonly used for multiplication problems. I like to think of a lazy "Z" (inverted) to explain the steps in using a slide rule for a basic multiplication problem. See the graphic above. On the virtual slide rule move the slider until 1 on the left side of the C scale is aligned with 4 on the D scale. Follow the lazy "Z" and look for 2 on the C scale. The number 8 appears directly below it on the D scale. 4 x 2 = 8. (Note: A slide rule can be checked for basic accuracy by multiplying 2 x 2 or by 4, etc. The answer should be exactly correct. Somehow, 2 x 2 on the virtual slide rule did not yield 4, but about 3.995 on one computer! But, it was accurate on other computers. That may be a browser problem. Still, this makes a good check for accuracy.)
Always remember that the 1 at the right end is 10 times larger than the 1 at the left end (terminology: left index and right index). For a particular calculation, the left index on C could be (purely for example) 1,000 and the right index 10,000; while the left index on the D scale could be (purely for example) 0.1 and the right index would then be 1.0. In such a case, the problem might be asking you to figure 0.75 of 8,500.
The process for division is the exact reverse of multiplication. (Follow the "Z" in the opposite direction.) Now you have a taste for using a slide rule. To learn more, download a basic manual and practice.
Step 11: Download an Original Manual
Here are some web pages where you can download free manuals in PDF: several makers, including one from Keuffel & Esser, as well as many other makers. I found two Dietzgen manuals, one says it covers my slide rule, while the other seems to be more fitting to my slide rule. Both are similar. Clicking on either of these two links will load the entire manual for each and that takes a while. They are very large files. If you wish to see a list of manuals, click on the first or second link. You can also go to this link and click on "Slider Rule Library, Manuals & Books" in the menu down the left side of the page. There you will find quite a variety of manuals, including several from Keuffel & Esser. I would have expected that manuals with as many pages as these would say something about basic cleaning and maintenance, but they devote themselves entirely to using the various scales to solve all manner of mathematical problems. The Dietzgen manuals have a few pages at the end with a large number of conversion factors. The Keuffel & Esser manuals have a couple of pages on the history of the slide rule.
Care and maintenance: Do not use chemicals or procedures on a slide rule that could leach the markings from the scales or be caustic to the materials. Do not put a slide rule into a hip pocket and risk breaking or bending it by sitting on it. Wipe it with a soft cloth to clean it. A mild soapy solution on a cloth would likely do no harm. Bamboo slide rules tend to be self-lubricating. Wooden slide rules can be lubricated with a little furniture polish applied to the moving parts. Although some do not advise using paraffin, I have always found a little of it rubbed onto the moving surfaces works well. See more on maintenance and care here. Here and here are some additional pages on the care and restoration of a slide rule. If you would like to see original instructions on caring for a Keuffel & Esser slide rule or a Dietzgen slide rule, go to this link. Scroll down the page to about halfway.
Step 12: What Slide Rules Did
Slide rules are accurate to about 3 significant digits. Numbers can be read more precisely at the left end of the rule than the right end of the rule because numbers at the right end of the scale are grouped more tightly, making them harder to read. Three significant numbers for accuracy means calculations done with a slide rule insured that things built by means of them were a bit over-engineered. But, for example, there is no point calculating to the nearest hundredth of an inch if your construction tool is accurate only to the nearest sixteenth of an inch. A ten inch slide rule is generally accurate to 1/10 of one percent in its answers.
Once carrying a slide rule meant instant status as a brainy geek. All of that disappeared with the electronic calculator, which was actually designed on the slide rule.
With practice, the speed and accuracy associated with a slide rule can greatly close the gap in a race with a calculator. Some calculations are definitely faster on a slide rule. For example, if you need to know the product of π multiplied by any number, find that number on the C scale and read the answer directly on the CF scale (if your slide rule has a CF scale). I remember an evening when an insurance salesman paid us a visit. I surprised him by finishing several calculations as accurately and more quickly than he was able to do with an electronic calculator. He was shocked. He had also never used a slide rule.
(The photo is from Bing Images.)