What does the mysterious constant marked by C on a slide rule indicate?












70














Years ago, before everyone (or anyone) had electronic calculators, I had a pocket slide rule which I used in secondary school until the first TI-30 cane out.



Recently I dug it out. Here's a photo of one end of it.



Slide rule showing mysterious constant on the C and D scales



As you can see, there's a number $C$ marked at about $1.128$ (times some power of $10$; with a slide rule you supply that yourself) on the C and D scales. Reading across to the A scale, its square is about $1.27$. By the C1 scale (which reads reciprocals of the C scale) its reciprocal is about $0.886$ (times some power of $10$).



The only two special numbers marked are $C$ and $pi$.



I'm not sure whether it's some frequently used constant that's used (eg) in some branch of engineering, or a number which is useful for some trick for using the slide rule.



Unlike $pi$, which is marked on most of the scales, this mysterious $C$ only appears on the C and D scales, which are the main ones used for multiplication and division.



If you need me to, I can give more explanation of the various scales on the rule and how calculations are done. That might give some clues as to what $C$ is for.



I'm sure the instructions explained what $C$ was, but I last saw those in the 1970s.



Has anyone any idea what $C$ is and why it would be useful on a slide rule?










share|cite|improve this question
























  • Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
    – timtfj
    Nov 30 '18 at 2:59






  • 1




    Funnest question in forever.
    – Randall
    Nov 30 '18 at 3:03










  • Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
    – Flydog57
    Nov 30 '18 at 17:34






  • 3




    Shouldn't this go in retrocomputing.SE? ;-)
    – shoover
    Nov 30 '18 at 18:34










  • @shoover - good one!
    – davidbak
    Nov 30 '18 at 19:29
















70














Years ago, before everyone (or anyone) had electronic calculators, I had a pocket slide rule which I used in secondary school until the first TI-30 cane out.



Recently I dug it out. Here's a photo of one end of it.



Slide rule showing mysterious constant on the C and D scales



As you can see, there's a number $C$ marked at about $1.128$ (times some power of $10$; with a slide rule you supply that yourself) on the C and D scales. Reading across to the A scale, its square is about $1.27$. By the C1 scale (which reads reciprocals of the C scale) its reciprocal is about $0.886$ (times some power of $10$).



The only two special numbers marked are $C$ and $pi$.



I'm not sure whether it's some frequently used constant that's used (eg) in some branch of engineering, or a number which is useful for some trick for using the slide rule.



Unlike $pi$, which is marked on most of the scales, this mysterious $C$ only appears on the C and D scales, which are the main ones used for multiplication and division.



If you need me to, I can give more explanation of the various scales on the rule and how calculations are done. That might give some clues as to what $C$ is for.



I'm sure the instructions explained what $C$ was, but I last saw those in the 1970s.



Has anyone any idea what $C$ is and why it would be useful on a slide rule?










share|cite|improve this question
























  • Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
    – timtfj
    Nov 30 '18 at 2:59






  • 1




    Funnest question in forever.
    – Randall
    Nov 30 '18 at 3:03










  • Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
    – Flydog57
    Nov 30 '18 at 17:34






  • 3




    Shouldn't this go in retrocomputing.SE? ;-)
    – shoover
    Nov 30 '18 at 18:34










  • @shoover - good one!
    – davidbak
    Nov 30 '18 at 19:29














70












70








70


11





Years ago, before everyone (or anyone) had electronic calculators, I had a pocket slide rule which I used in secondary school until the first TI-30 cane out.



Recently I dug it out. Here's a photo of one end of it.



Slide rule showing mysterious constant on the C and D scales



As you can see, there's a number $C$ marked at about $1.128$ (times some power of $10$; with a slide rule you supply that yourself) on the C and D scales. Reading across to the A scale, its square is about $1.27$. By the C1 scale (which reads reciprocals of the C scale) its reciprocal is about $0.886$ (times some power of $10$).



The only two special numbers marked are $C$ and $pi$.



I'm not sure whether it's some frequently used constant that's used (eg) in some branch of engineering, or a number which is useful for some trick for using the slide rule.



Unlike $pi$, which is marked on most of the scales, this mysterious $C$ only appears on the C and D scales, which are the main ones used for multiplication and division.



If you need me to, I can give more explanation of the various scales on the rule and how calculations are done. That might give some clues as to what $C$ is for.



I'm sure the instructions explained what $C$ was, but I last saw those in the 1970s.



Has anyone any idea what $C$ is and why it would be useful on a slide rule?










share|cite|improve this question















Years ago, before everyone (or anyone) had electronic calculators, I had a pocket slide rule which I used in secondary school until the first TI-30 cane out.



Recently I dug it out. Here's a photo of one end of it.



Slide rule showing mysterious constant on the C and D scales



As you can see, there's a number $C$ marked at about $1.128$ (times some power of $10$; with a slide rule you supply that yourself) on the C and D scales. Reading across to the A scale, its square is about $1.27$. By the C1 scale (which reads reciprocals of the C scale) its reciprocal is about $0.886$ (times some power of $10$).



The only two special numbers marked are $C$ and $pi$.



I'm not sure whether it's some frequently used constant that's used (eg) in some branch of engineering, or a number which is useful for some trick for using the slide rule.



Unlike $pi$, which is marked on most of the scales, this mysterious $C$ only appears on the C and D scales, which are the main ones used for multiplication and division.



If you need me to, I can give more explanation of the various scales on the rule and how calculations are done. That might give some clues as to what $C$ is for.



I'm sure the instructions explained what $C$ was, but I last saw those in the 1970s.



Has anyone any idea what $C$ is and why it would be useful on a slide rule?







notation math-history constants






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edited Nov 30 '18 at 14:22









muru

1




1










asked Nov 30 '18 at 2:56









timtfjtimtfj

1,091318




1,091318












  • Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
    – timtfj
    Nov 30 '18 at 2:59






  • 1




    Funnest question in forever.
    – Randall
    Nov 30 '18 at 3:03










  • Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
    – Flydog57
    Nov 30 '18 at 17:34






  • 3




    Shouldn't this go in retrocomputing.SE? ;-)
    – shoover
    Nov 30 '18 at 18:34










  • @shoover - good one!
    – davidbak
    Nov 30 '18 at 19:29


















  • Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
    – timtfj
    Nov 30 '18 at 2:59






  • 1




    Funnest question in forever.
    – Randall
    Nov 30 '18 at 3:03










  • Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
    – Flydog57
    Nov 30 '18 at 17:34






  • 3




    Shouldn't this go in retrocomputing.SE? ;-)
    – shoover
    Nov 30 '18 at 18:34










  • @shoover - good one!
    – davidbak
    Nov 30 '18 at 19:29
















Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
– timtfj
Nov 30 '18 at 2:59




Please tag as appropriate—I'm not sure if the right tags and can't yet create a new "slide-rules" tag.
– timtfj
Nov 30 '18 at 2:59




1




1




Funnest question in forever.
– Randall
Nov 30 '18 at 3:03




Funnest question in forever.
– Randall
Nov 30 '18 at 3:03












Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
– Flydog57
Nov 30 '18 at 17:34




Did anyone else here buy their kid a slide rule when he/she went off to engineering school. My daughter ended up with two (we are a family with many engineers). She dutifully sat through my instructions on slide rule use (twice), but I don't think she paid any attention.
– Flydog57
Nov 30 '18 at 17:34




3




3




Shouldn't this go in retrocomputing.SE? ;-)
– shoover
Nov 30 '18 at 18:34




Shouldn't this go in retrocomputing.SE? ;-)
– shoover
Nov 30 '18 at 18:34












@shoover - good one!
– davidbak
Nov 30 '18 at 19:29




@shoover - good one!
– davidbak
Nov 30 '18 at 19:29










1 Answer
1






active

oldest

votes


















77














I found the answer by googling "slide rule markings"! It took me straight to the Glossary of the International Slide Rule Museum, which gives C its own entry:




C - Gauge mark found on the C and D scales denoting $sqrt{4/pi} = 1.128$ for calculating the area of a circle and the volume of a cylinder. Place the C mark on the C scale over the diameter of a circle on the D scale. The area of the circle is found above the index on the A scale. If this is the base of a cylinder, without moving the slide, move the cursor to the height of the cylinder on the B scale. The volume is read on the A scale. This gauge mark was rendered obsolete with the advent of multi-lined cursors.




And there is, of course, so much more at that site.






share|cite|improve this answer





















  • Amazing. Like a moron I googled 1.128 and didn't get anywhere.
    – Randall
    Nov 30 '18 at 3:11










  • I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
    – timtfj
    Nov 30 '18 at 3:23






  • 8




    The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
    – Francesco
    Nov 30 '18 at 5:32






  • 1




    @Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
    – Nic Hartley
    Nov 30 '18 at 22:01












  • I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
    – richard1941
    Dec 5 '18 at 4:10











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









77














I found the answer by googling "slide rule markings"! It took me straight to the Glossary of the International Slide Rule Museum, which gives C its own entry:




C - Gauge mark found on the C and D scales denoting $sqrt{4/pi} = 1.128$ for calculating the area of a circle and the volume of a cylinder. Place the C mark on the C scale over the diameter of a circle on the D scale. The area of the circle is found above the index on the A scale. If this is the base of a cylinder, without moving the slide, move the cursor to the height of the cylinder on the B scale. The volume is read on the A scale. This gauge mark was rendered obsolete with the advent of multi-lined cursors.




And there is, of course, so much more at that site.






share|cite|improve this answer





















  • Amazing. Like a moron I googled 1.128 and didn't get anywhere.
    – Randall
    Nov 30 '18 at 3:11










  • I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
    – timtfj
    Nov 30 '18 at 3:23






  • 8




    The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
    – Francesco
    Nov 30 '18 at 5:32






  • 1




    @Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
    – Nic Hartley
    Nov 30 '18 at 22:01












  • I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
    – richard1941
    Dec 5 '18 at 4:10
















77














I found the answer by googling "slide rule markings"! It took me straight to the Glossary of the International Slide Rule Museum, which gives C its own entry:




C - Gauge mark found on the C and D scales denoting $sqrt{4/pi} = 1.128$ for calculating the area of a circle and the volume of a cylinder. Place the C mark on the C scale over the diameter of a circle on the D scale. The area of the circle is found above the index on the A scale. If this is the base of a cylinder, without moving the slide, move the cursor to the height of the cylinder on the B scale. The volume is read on the A scale. This gauge mark was rendered obsolete with the advent of multi-lined cursors.




And there is, of course, so much more at that site.






share|cite|improve this answer





















  • Amazing. Like a moron I googled 1.128 and didn't get anywhere.
    – Randall
    Nov 30 '18 at 3:11










  • I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
    – timtfj
    Nov 30 '18 at 3:23






  • 8




    The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
    – Francesco
    Nov 30 '18 at 5:32






  • 1




    @Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
    – Nic Hartley
    Nov 30 '18 at 22:01












  • I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
    – richard1941
    Dec 5 '18 at 4:10














77












77








77






I found the answer by googling "slide rule markings"! It took me straight to the Glossary of the International Slide Rule Museum, which gives C its own entry:




C - Gauge mark found on the C and D scales denoting $sqrt{4/pi} = 1.128$ for calculating the area of a circle and the volume of a cylinder. Place the C mark on the C scale over the diameter of a circle on the D scale. The area of the circle is found above the index on the A scale. If this is the base of a cylinder, without moving the slide, move the cursor to the height of the cylinder on the B scale. The volume is read on the A scale. This gauge mark was rendered obsolete with the advent of multi-lined cursors.




And there is, of course, so much more at that site.






share|cite|improve this answer












I found the answer by googling "slide rule markings"! It took me straight to the Glossary of the International Slide Rule Museum, which gives C its own entry:




C - Gauge mark found on the C and D scales denoting $sqrt{4/pi} = 1.128$ for calculating the area of a circle and the volume of a cylinder. Place the C mark on the C scale over the diameter of a circle on the D scale. The area of the circle is found above the index on the A scale. If this is the base of a cylinder, without moving the slide, move the cursor to the height of the cylinder on the B scale. The volume is read on the A scale. This gauge mark was rendered obsolete with the advent of multi-lined cursors.




And there is, of course, so much more at that site.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Nov 30 '18 at 3:10









TonyKTonyK

41.7k353133




41.7k353133












  • Amazing. Like a moron I googled 1.128 and didn't get anywhere.
    – Randall
    Nov 30 '18 at 3:11










  • I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
    – timtfj
    Nov 30 '18 at 3:23






  • 8




    The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
    – Francesco
    Nov 30 '18 at 5:32






  • 1




    @Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
    – Nic Hartley
    Nov 30 '18 at 22:01












  • I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
    – richard1941
    Dec 5 '18 at 4:10


















  • Amazing. Like a moron I googled 1.128 and didn't get anywhere.
    – Randall
    Nov 30 '18 at 3:11










  • I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
    – timtfj
    Nov 30 '18 at 3:23






  • 8




    The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
    – Francesco
    Nov 30 '18 at 5:32






  • 1




    @Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
    – Nic Hartley
    Nov 30 '18 at 22:01












  • I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
    – richard1941
    Dec 5 '18 at 4:10
















Amazing. Like a moron I googled 1.128 and didn't get anywhere.
– Randall
Nov 30 '18 at 3:11




Amazing. Like a moron I googled 1.128 and didn't get anywhere.
– Randall
Nov 30 '18 at 3:11












I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
– timtfj
Nov 30 '18 at 3:23




I've just tried calculating $sqrt{4/pi}$ on the slide rule and the result does line up nicely with the $C$ mark, so this is definitely it!. Thanks!
– timtfj
Nov 30 '18 at 3:23




8




8




The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
– Francesco
Nov 30 '18 at 5:32




The museum is amazing! I feel much younger now (maybe that such a musem can make me feel younger should make me feel old...)
– Francesco
Nov 30 '18 at 5:32




1




1




@Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
– Nic Hartley
Nov 30 '18 at 22:01






@Francesco "It makes me feel like a kid again, and that just reminds me how long it's been."
– Nic Hartley
Nov 30 '18 at 22:01














I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
– richard1941
Dec 5 '18 at 4:10




I wish I had that mark on my slide rule. I am always calculating the volume of a cylinder at the beer joint. But calculation of the volume of a Starbucks cup is best done with Simpson's rule.
– richard1941
Dec 5 '18 at 4:10


















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