The iPhone of Slide Rules - Numberphile

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  • Опубліковано 5 січ 2016
  • Thanks Audible: www.audible.com/numberphile
    More links & stuff in full description below ↓↓↓
    Alex Bellos discusses slide rules and then the Halden Calculex, which he describes as the "iPhone of Slide Rules"
    Alex Bellos: www.alexbellos.com
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  • Наука та технологія

КОМЕНТАРІ • 970

  • @stevepaulsson8266
    @stevepaulsson8266 8 років тому +859

    Old joke: the definition of an engineer is someone who when asked what 2x2 is, whips out his slide-rule and says "3,9"

    • @dochatteras
      @dochatteras 8 років тому +76

      +Steve Paulsson Yes. And yet, the Boeing 747 was designed solely using the slide rule. With training and practice (like all things) it's amazing how effective they could be.

    • @SorakaOTP462
      @SorakaOTP462 8 років тому +59

      +Steve Paulsson Not 3.9, more like 3.99998.

    • @idlingdove
      @idlingdove 8 років тому +155

      +Steve Paulsson The joke I heard when I was young went as follows:Definition of an old-time engineer: ask him what 2x2 is, he whips out his slide rule from his back pocket, and says "about 4". Definition of a modern engineer: ask him what 2x2 is, he whips out his calculator from his shirt pocket, and says "4 point zero zero zero". I guess that a natural extension of this for the current generation would be: ask a current engineer what 2x2 is, he looks at you and says, "why don't you Google it?".

    • @heimdall1973
      @heimdall1973 6 років тому +62

      A mathematician will say there is exactly one solution.
      An accountant will ask what you want the answer to be.
      There are more but I don't remember them.

    • @dontworry1302
      @dontworry1302 6 років тому +37

      An Engineer will ask How close does it need to be?

  • @largesatsuma
    @largesatsuma 8 років тому +210

    Price 1/6 = 1 shilling and 6 pence.
    Pre-decimal currency was used in the UK until 1971.

    • @davidellis4031
      @davidellis4031 8 років тому +8

      +Slim Charles Yup - you got there first my friend.
      I guess I can add that it's technically 7.5p in today's money, but that was from the time when the £500+ that an iPhone costs now would buy you a country mansion.

    • @ranged12345
      @ranged12345 8 років тому +10

      +Slim Charles Which is around 13 pounds accounting for inflation.

    • @mickthomas8983
      @mickthomas8983 8 років тому +7

      +Slim Charles How I learned to remember conversion from 'old money' into 'new' is to remove the slash, and then half the remaining figure. So, 1 / 6 becomes 16, half that is 8 (pence). Not exact, but near enough if you were in a shop in 1971. I love the way it works out in two easy steps. ** Potential joke about LSD (pounds, shilling, pence) producing a warm fuzzy feeling in the early 70s **

    • @jesusthroughmary
      @jesusthroughmary 8 років тому +3

      +Mick Thomas Actually works out to be 7.5 new pence.

    • @mickthomas8983
      @mickthomas8983 8 років тому +4

      +jesusthroughmary Thank you. As I said in my comment, 8 pence was "Not exact, but near enough...". It's just the 'ready-reckoner' method to reach a close approximation. I also used an online converter and got 7.5 new pence.

  • @TheHoaxHotel
    @TheHoaxHotel 8 років тому +734

    I carry one as a concealed weapon. Fast and functional, guaranteed to make an attacker's brain hurt.

    • @m-yday
      @m-yday 8 років тому +12

      You know what. That's a magnificent comment

    • @jaakkohintsala2597
      @jaakkohintsala2597 8 років тому +2

      +Shvet Maharaj i agree

    • @rudyhero1995
      @rudyhero1995 8 років тому +1

      +Shvet Maharaj a significant moment*

    • @888SpinR
      @888SpinR 8 років тому +72

      +The Hoax Hotel Shame on you, carrying around a weapon of maths instruction like that!

    • @Bobdowntheroadshow
      @Bobdowntheroadshow 8 років тому +16

      +888SpinR "weapon of maths instruction" give this man a clap.

  • @LNC4P
    @LNC4P 8 років тому +52

    As a pilot, we use these circular calculators on a regular basis. However, more modern digital calculators are now becoming more prevalent. These aeronautical computers are called E6-B or CR-3 computers. You can also find them on wrist watches as their bezel. Probably the most common company that designs such watches is Citizen but I also have a Pulsar with such bezels. It does come in very handy when you need to do a somewhat complicated calculation on the fly.

  • @jakebrodskype
    @jakebrodskype 8 років тому +57

    Most slipstick users know to use the C and D scales for multiplication and division. The A and B scales are squares of the C and D scales, so you lose some precision there.

    • @ffggddss
      @ffggddss 2 роки тому +6

      Yes, because the A&B scales have half the cycle-length.
      There was often also a K scale, for cubing the C&D scales. One-third the cycle-length, which meant even greater loss of precision.
      Fred

    • @pyropulseIXXI
      @pyropulseIXXI Рік тому +4

      I have LL1, A, B, ST, T, S, C, D, DI, k, LL2, DF, CF, Ln, L, CI, C, D, LL3, +e on my 5inch Pickett N600-ES LOG LOG Speed Rule

  • @simonmacomber7466
    @simonmacomber7466 8 років тому +24

    I remember wandering around to many cities with my dad at some point in the mid 1980s while he desperately looked for a place that sold slide rules. The fact that few employees of any store knew what one was, kept making him angrier and angrier. But not as angry as he got when an older employee pointed out that they had stopped making such things because scientific calculators did the same thing much better.
    I had been using such a calculator in high school starting in 1984.

    • @estebson
      @estebson 11 місяців тому

      Oh man, I imagine you've gone through the same feeling looking for something from your childhood in modern times or finding people not knowing what you're talking about, ha ha 😅.

  • @deezynar
    @deezynar 8 років тому +12

    I hear him speaking quietly in the darkness, 'My preciousss!.'

  • @leonardomona9376
    @leonardomona9376 8 років тому +6

    7:14 "what do you do with that?" ," i sort of take it out and stroke it, and polish it and put it out it there.And you know, talk to it". LOL

  • @Mrfailstandstil
    @Mrfailstandstil 8 років тому +123

    *I DEMAND a review of all of the collection of maths instruments that he has!*

    • @dpnast8301
      @dpnast8301 7 років тому +2

      I demand logarithms and trigonometrics on slide ruler

    • @markprange238
      @markprange238 5 років тому

      In the background he has a cylinder with a spiral logarithmic scale.

    • @L17bligaman
      @L17bligaman 2 роки тому

      Totally Agreeable

    • @Triantalex
      @Triantalex 8 місяців тому

      ??

  • @alancantor9437
    @alancantor9437 5 років тому +25

    I was an engineering student In 1974, and I relied on a circular slide rule -- although mine was mass-produced and not nearly as elegant as yours! I may have been the only person in my class of who didn't use a straight slide rule. I thought the circular model was better because it was as accurate as a pi * diameter model, but took up less space. Maybe it even fit in my pocket!
    The price of electronic calculators dropped around that time, and within a few short months, all of my classmates and I abandoned our slide rules in favour of HP 35s, TI SR-50s, and so on.

    • @paulpeterson4216
      @paulpeterson4216 2 роки тому +2

      I had several professors in the Chemistry and Physics Departments who could readily get three or four significant figures out of a slide rule. I had two, one standard model and a circular one, though the latter was a relatively cheap plastic one, not like this guy's. It did fit in your shirt pocket though, which was a plus.

  • @silvereaglexi3888
    @silvereaglexi3888 8 років тому +391

    A nerd's lightsaber is a lightsaber.

    • @cicci0salsicci0
      @cicci0salsicci0 8 років тому +6

      +SilverEagle XI fair enough

    • @1rian25
      @1rian25 8 років тому +1

      I think he meant it in comparison to a Jedi.

    • @silvereaglexi3888
      @silvereaglexi3888 8 років тому +1

      Kneedragon1962 i would say the sonic screwdriver is in a separate category, and that you could say the same thing i said in my original comment except replace the word "lightsaber" with the words "sonic screwdriver" and it would still be true.

    • @Kneedragon1962
      @Kneedragon1962 8 років тому

      +SilverEagle XI Conceded.

    • @havan56
      @havan56 8 років тому

      +SilverEagle XI yep. I'd say that this is the Steampunk Lightsaber

  • @JoeJoeTater
    @JoeJoeTater 8 років тому +664

    Man, ya can't make a video about slide rules without throwing in an explanation of how logarithms make them work.

    • @numberphile
      @numberphile  8 років тому +137

      +JoeJoeTater it's been done so many times (as you allude to yourself) that I actually cut it out!

    • @Skelpolu
      @Skelpolu 8 років тому +52

      +Numberphile Okay, point taken - However, could you add an annotation to a video explaining how logarithms make them work?

    • @Nilguiri
      @Nilguiri 8 років тому +11

      +Numberphile
      Sounds ideal for a cheeky Lagniappe?

    • @tomwhiteley4126
      @tomwhiteley4126 8 років тому +9

      +JoeJoeTater If you look at the first 2 laws of logs, which show that adding logs is the same as multiplying logs, and division is the same as subtraction, then it takes advantage of this fact, if you take a logarithmic scale :)

    • @TheRipler
      @TheRipler 8 років тому +10

      +Numberphile This needs extras. Also would like to see more about the other scales.

  • @onthespoke2
    @onthespoke2 8 років тому +26

    ᕮ ͡° ͟ل͜ ͡°ᕭ
    "It's actually rather lovely the way this moves in and out. It's so beautifully done. It's actually really pleasurable."
    ᕮ ͡° ͟ل͜ ͡°ᕭ

  • @MurcuryEntertainment
    @MurcuryEntertainment Рік тому +3

    Man I love analogue computing devices. I have no idea how to use most of them, but they're incredible.

  • @abhijitbhandarkar
    @abhijitbhandarkar 8 років тому +22

    07:17 "I just kinda take it out and stroke it and talk to it" You sure you talking about the calculus mate ?

    • @mr.champion7304
      @mr.champion7304 6 років тому +3

      no he's talking about the trigonometry.

  • @Gribbo9999
    @Gribbo9999 8 років тому +4

    1/6 "One and a tanner " . I've still got my British Thornton slide rule (c.1970) - the engineering student's weapon of choice. It was a liberation after using log and trig tables at school. The "the hairline" is actually called "the cursor" by the way.

  • @jjwarner9419
    @jjwarner9419 8 років тому +117

    But do I have to buy a new one every 3 months?

    • @maxnullifidian
      @maxnullifidian 5 років тому +5

      And do you have to camp out in front of the store for 3 days before it's available?

    • @RWBHere
      @RWBHere 4 роки тому +12

      No. They will last a lifetime if cared for properly, and they never need re-installing or upgrading. Mine is over 40 years old and is as accurate as it was when new.

    • @kemcolian2001
      @kemcolian2001 3 роки тому

      @@RWBHere r/woosh

  • @halocemagnum8351
    @halocemagnum8351 8 років тому +132

    more of this guy. I love how exciting he makes math!

    • @shayan_ecksdee
      @shayan_ecksdee 8 років тому +16

      No we need more from four handed senpai

    • @Blox117
      @Blox117 8 років тому +2

      +Halo CE Magnum too bad bungie nerfed you in halo 2

    • @halocemagnum8351
      @halocemagnum8351 8 років тому +2

      Blox117 i know what a tragedy.

    • @Blox117
      @Blox117 8 років тому +2

      Halo CE Magnum RIP my favorite weapon
      :(

    • @halocemagnum8351
      @halocemagnum8351 8 років тому +2

      Blox117 hey you can use me on Halo CE pc, Halo mcc and im Coming soon to halo 5!!

  • @mandolinic
    @mandolinic 8 років тому +7

    I recall when I was at school 40+ years ago, one of my maths teachers had a helical slide rule. IIRC, it was about the size of the inner core of a toilet roll, but apparently the scale was about 60" in length.

  • @thewwefan57
    @thewwefan57 8 років тому +7

    It's incredible how there is no limit to how useful and practical something can be

  • @stocktonjoans
    @stocktonjoans 8 років тому +14

    "Mother, I have the knowing of the sliding rule! I can tell the sine what to do, and the cosine likewise and work out the tangent of t'quadratics"
    Terry Pratchett
    RIP

    • @clockworkkirlia7475
      @clockworkkirlia7475 4 роки тому +1

      Yes! Haha, that's exactly what I was thinking of. I didn't realise how calculation-assisting the actual thing was...
      As ever,
      GNU Terry Pratchett

  • @RalphDratman
    @RalphDratman 8 років тому +27

    I loved my slide rule! I taught myself how to use it when I was 13, and it was a great help to me, first in high school chemistry and later in college physics.

  • @CineMutt
    @CineMutt 4 роки тому +3

    At college in the early 1960’s in the US, you could identify the math/engineering majors easily by the leather holsters on their belts for carrying their slide rules, and the white plastic pocket protectors with pens of different colors. They wore these proudly.

  • @ffggddss
    @ffggddss 8 років тому +19

    Ah, back to the days when "cursor" meant that hairline thing on a slide rule!

  • @dannywhittaker8219
    @dannywhittaker8219 7 років тому +6

    My dad just gave me his old circular slide rule for my birthday this year, pretty cool stuff!

  • @dochatteras
    @dochatteras 8 років тому +3

    I have a Citizen aviator's watch with a circular slide rule built in. During WWII, they were commonly used by aviators to calculate distances, fuel consumption, etc. It is extremely convenient, and I often use it instead of whipping out a smart phone. Plus it looks beautiful!

  • @DaveScottAggie
    @DaveScottAggie 8 років тому +10

    In the printing industry, we still use something, called a proportion wheel (sometimes we call it a reduction wheel). The inner wheel has the size of original, and the outer wheel ha the size of the reproduction (the output). There is a little window with a pointer which will tell you what percentage of enlargement or reduction is necessary to achieve that particular scaling. It is very fast to use. It essentially only does division and multiplication. For example, put original on 8.5 inches, and reproduction on 34 inches, then read out 400%. With it still set at the 400%, look at the 11, and see that the other side of an 8.5x11 sheet of paper will enlarge to 44 inches. That's a fairly simple example, but various tasks come in, almost every day.

  • @nerd9684
    @nerd9684 8 років тому +3

    I was born in 89, so I didn't get to use this. But I'm geeking out right now about this. Thank you for showing this amazing device.

  • @holdenew
    @holdenew 8 років тому +26

    "It's actually rather lovely, the way this moves in and out. It's so beautifully done; it's actually very pleasurable just doing it like this." - Alex Bellos, 2016

  • @zuutlmna
    @zuutlmna 8 років тому +6

    My college chemistry instructor used a round slide rule. He was extremely quick with using it, too. Kept it in his shirt pocket.

  • @wallace4181
    @wallace4181 8 років тому +5

    As someone who used a slide-rule as a young engineer in the early 1970's, I can tell you that you could do a lot more with one than shown here. Also, the "hair-line" he mentioned was on what was known as the "cursor" (OED definition at that time "Transparent slide engraved with a hair-line and forming part of slide-rule). I still have my old slide-rule by the way.

  • @davidcole217
    @davidcole217 Рік тому +1

    I am one of those 60 + guys who used a slide rule in my Navy schools. The kicker is they were teaching me electronics for digital computers. I had two, one the Navy supplied and a better one my father bought me. It was a great tool. Very easy and fast.

  • @MrTanker10a
    @MrTanker10a 8 років тому +3

    I still have my yellow PICKETT slide-rule from high school since 1974… I was taught to use the C (Top Scale) and the
    (D-Bottom Scale) for Multiplication, Division, Fractions and Ratio Calculations...

  • @DancesWithRobots
    @DancesWithRobots 7 років тому +16

    You would have had a (somewhat) easier time had you demonstrated multiplication with the C and D scales which were the ones intended for multiplication.

  • @richardwakelin843
    @richardwakelin843 6 місяців тому

    I grew up in the 60s, dad was an engineer & draughtsman and we was used to using old school things, i can remember the first readily available casio calculators and digital watches, we had a b&w tv which we had to tune with a dial & sometimes had to move the ariel about to get a reasonable signal. I forgot all about these things until i saw your sliderule. Thanks for the memories. Have a great day 😊

  • @IdleGod
    @IdleGod 8 років тому +4

    When I was learning to fly, I found a circular slide rule on a cheap watch at a swap meet. The guy had no idea what it was, and thought the ring was some kind of timer. Picked it up for maybe $20. Despite being a huge tech nerd, the watch and slide rule made learning to navigate a lot easier. It's a far cry from GPS, but really useful if you don't have them.

  • @Dracopol
    @Dracopol 6 років тому +4

    There was an art to using slide-rules. If you had a formula with a lot of terms in the numerator and denominator you would often, rather than going straight through the numerator terms (multiplying by) and then straight through the denominator terms (dividing by), you would alternate, minimizing the times you would go beyond the scale and have to re-index the scale (replace the left "1" with the right "1" for 10, or vice-versa).
    The circular slide-rule removed this problem and allowed you to go in any order you wanted.

  • @AustrianAnarchy
    @AustrianAnarchy 8 років тому +247

    The Halden Calculex is quite the opposite of the iPhone. It continues to work with no way for its makers to "upgrade" it into complete uselessness.

    • @HilbertXVI
      @HilbertXVI 6 років тому +2

      AustrianAnarchy Lol wot

    • @JimProng
      @JimProng 6 років тому +15

      And it doesn't cost £700.00. You also do not have to pay the manufacturer to add functions. Where it is the same is that if it breaks, its cheaper to buy a new one than to get the old one fixed.

    • @aaronmicalowe
      @aaronmicalowe 6 років тому +8

      And you never have to recharge it or uninstall broken apps.

    • @jameswalker199
      @jameswalker199 4 роки тому +1

      I'd say it's accurate: someone else's innovation put in a pretty package and sold as new and unique.

    • @RWBHere
      @RWBHere 4 роки тому

      @@JimProng It probably cost the equivalent of today's £700 when new though. Maybe a couple of pounds each in 1905, which was at least a month's wages for a labourer. An iPhone costs around 3 weeks of pay for someone on minimum wages today.

  • @MaxTSanches
    @MaxTSanches Рік тому +1

    From Canada (British Columbia) - I'm 63 and learnt how to use a slide rule in my grade 11 physics class. The next year the school had purchased one class (30 students) worth of electric calculators. So, we all had to learn Reverse Polish Notation to use them. The slide rule was easier, and the calculators could not leave the physics department room. So, we did our homework on the slide rule. I think that mine was the last class to learn how to use the slide rule.
    In the year 2000 I return to university to get an engineering degree and found that the slide rule was very useful as a log ruler, when you took out the centre slide. The other students would have to measure and then convert to logs to make a log / log graph. I could just measure with the centre slide directly. :)
    .

  • @lawrencecalablaster568
    @lawrencecalablaster568 8 років тому +17

    :D I have a slide rule & it is wonderful! I don't use it very much, but I do enjoy using it very much.

    • @SlideRulePirate
      @SlideRulePirate 8 років тому +3

      +Lawrence Calablaster I hear ya.

    • @JohnSmith-do4fm
      @JohnSmith-do4fm 8 років тому +4

      +Lawrence Calablaster I collect these bad boys. They're so cool! I try to use them as often as I can to stay proficient with them.

  • @PilchPlays
    @PilchPlays 8 років тому +87

    You tease me with the iPhone of Slide Rules in the title only to show me the Bentley of slide rules. I was expecting to see an over priced and over hyped slide rule that had an option to be gold plated and was rendered obsolete after the first year it was introduced.

    • @heimdall1973
      @heimdall1973 6 років тому +11

      Similar thoughts. Remember also that you can't repair it...

  • @liquidminds
    @liquidminds 8 років тому +28

    thanks, still got the one from my grandfather and now I know how to use it. a bit at least :-)

    • @Kneedragon1962
      @Kneedragon1962 8 років тому +8

      +liquidminds Learn how to use a conventional slipstick. Once you have that, going to the circular one is pretty easy - it's the same thing but without the ends.

    • @General12th
      @General12th 5 років тому +1

      I mean, it's not like reading a slide rule is a lost art. They're not _that_ hard to figure out.

  • @heimdall1973
    @heimdall1973 6 років тому +2

    When I went to school and worked out how the slide rule works for multiplication using log scales, I once designed a slide rule for powers using a log scale and a log log scale. Trouble is, such an instrument would not be of much use. Apart from calculators (which were not supposed to be used in schools), we used log tables and such, but never slide rules.

  • @Enkzan
    @Enkzan 8 років тому +1

    My grandfather had an identical slide ruler when he studied to become an engineer. When he passed a few years ago, as I started my education, I got it. It's complete with an old weathered leather case. Beautiful piece that I wish I'd been taught to use instead of calculators. :-) Lovely video!

  • @Schindlabua
    @Schindlabua 8 років тому +269

    > iPhone
    > Height of technology
    lol

    • @enosunim
      @enosunim 8 років тому +14

      +Schindlabua But it surely have some scientific calculators, for $95.95 in the appstore.

    • @Mp57navy
      @Mp57navy 8 років тому +18

      +minus1 I am certain, the Iphone won't have 100+ years battery life.

    • @enosunim
      @enosunim 8 років тому +6

      Mp57navy But it has much more accuracy, and who need 100 year battery anyway. Look, those devices from video are much yonger than 100 years, but already useless for anyone except those who speak with relics. )))

    • @8ytan
      @8ytan 8 років тому +8

      +Schindlabua I thought the iPhone comparison was more because it is much more elegant and portable than a normal slide rule, much like an iPhone is to a normal calculator. Both are also considerably more trendy than their counterparts.

    • @BunnyArisu
      @BunnyArisu 8 років тому +15

      +Ben F That's exactly what he was going for in the video. This is just a shitpost of "hurr durr gota maek fun of da ifone lolool"

  • @Cythil
    @Cythil 8 років тому +130

    I think the Halden Calculex is prettier then a iPhone.

    • @888SpinR
      @888SpinR 8 років тому +9

      +Cythil To be fair, it *is* prettier than your average phone on the market.

    • @Cythil
      @Cythil 8 років тому +8

      888SpinR
      Yep. But to be fair a iPhone is about as pretty as most of it competitors.

    • @fattyacid1901
      @fattyacid1901 8 років тому

      What we need is a calculex app

    • @TheBluMeeny
      @TheBluMeeny 8 років тому +2

      Its also more useful, and not snobbishly over priced. HEH

    • @JohnSmith-do4fm
      @JohnSmith-do4fm 8 років тому +1

      +Cythil Check out the Soviet KL-1 pocket watch-style slide rule. Way sexier and postdates the Haldex by almost 60 years.

  • @robertgillcash1696
    @robertgillcash1696 6 років тому +1

    I had a watch with a circular slide rule around the outside in approximately 1970. Used it on a few occasions in detention, they'd give you a pile of math problems to do, when you finished them, you could leave. For some reason, I was always finished way faster than anyone else!

  • @123pirke
    @123pirke 8 років тому +2

    During my privat pilot license training we still learned to use a circular slide rule in the cockpit! Even now in 2016 it is still required :) It's called the E6B Flight Computer. It has a front and back side. The front side is a "regular" slide rule with many conversions (fuel, time, weight), altitude density, etc. The back side is used for wind angle corrections (steering angle to compensate for wind drift). Great stuff, but my tablet with GPS makes life a bit more easy ;)

  • @lovefrombooks7
    @lovefrombooks7 8 років тому +33

    I want to get one of these for those tests my teachers tell me I can't use a calculator. I'll pull out my slide rule and be like "no problem"

    • @ffggddss
      @ffggddss 8 років тому +15

      +lovefrombooks7
      I don't think that'll fly!
      A slide rule IS a calculator - a mechanical analog calculator.
      OTOH, your teacher might be impressed that someone your age not only knows what that thing is for, but actually knows how to use it!

    • @hugoflores5806
      @hugoflores5806 2 роки тому +1

      @@ffggddss estra points for explaining it?

    • @ffggddss
      @ffggddss 2 роки тому +3

      @@hugoflores5806 Explain "mechanical analog calculator"?
      Well, it's *mechanical,* because it has parts that move, by hand - no battery required. As opposed to electronic, which has circuits and an electronic display.
      It's *analog,* because it has continuously movable scales, from which numbers are read out; as opposed to digital, which gives its results as multiple digits.
      And it's a *calculator,* because it can be used to calculate stuff.
      BTW, an abacus fits all these definitions, too.
      Fred

    • @hugoflores5806
      @hugoflores5806 2 роки тому +2

      @@ffggddss No, I was thinking about the log part, and the algorithms for solving different operations

    • @ffggddss
      @ffggddss 2 роки тому +3

      ​@@hugoflores5806 You have two scales, C & D, each movable wrt the other. Each has numbers marked where their logarithms are
      - "1" is at position 0.000 = log1; "2" is at position 0.301 = log2; ... "10" is at position 1.000 = log10.
      - where position is fraction of the scale length (typically 10 in or 25 cm).
      So when you move the slide to place the 1 on the C scale over the 2 on the D scale, every number on the C scale is sitting on its own log plus log2, on the D scale.
      But that means that 4.7 on C sits on 4.7 * 2 = 9.4 on D, etc., so that each marked number on C sits over 2 x itself on D.
      And so it goes for any multiplier other than 2, that you move the slide to.
      Fred

  • @BrianRonald
    @BrianRonald 8 років тому +23

    You're murdering the precision by using the A and B scales.

    • @fjarandag
      @fjarandag 8 років тому +12

      +Brian Ronald Of course C+D scales would give more precision, but having to align 10 instead of 1, looking left and divide by 10 would confuse viewers even more.

    • @happmacdonald
      @happmacdonald 8 років тому +6

      +Javier Aranda But I thought that was the entire point of having a ROUND slide rule?! xD

  • @carmium
    @carmium 8 років тому +1

    My Dad worked in lumber sales, back in the day when little gifts with your company's name and number were popular things to give to clients and and buyer. One day, he asked if I wanted this circular slide rule he'd been given. It was a couple of years before we had to use them in Physics class, but once we did, it attracted some attention. It had the advantage of never having answer "off the scale," which can happen with the standard type. It took a little figuring, but I happily used it thru my latter years of high school.

  • @pmbrig
    @pmbrig Рік тому +1

    In our high school physics class in the late 1960s everyone had to use slide rules. I was the only one who had a circular slide rule instead of a linear one. It was about 10" in diameter (so, not something to slip into a pocket) and had two transparent arms each with a radial hairline, one longer than the other, with the short arm designed to move with the long arm when that was rotated. The primary logarithmic scale around the rim had an effective length of over 30", allowing much better accuracy, and I never had to worry about "running off the scale" when, eg, multiplying 3*4. In addition, it had multiple other scales, including trigonometric scales and a log-log scale (allowing for exponential calculations). I found it much easier to use than the linear ones, and I loved it. It was very finely designed.
    Sadly, I ditched it at some point after I hadn't needed a slide rule for several years. I wish I still had it.

  • @canisfabico
    @canisfabico 8 років тому +23

    My Father is 83 years old and said he remember using this

    • @rgfrw
      @rgfrw 5 років тому +1

      I'm 73 and still have mine. But I dont use it.

    • @General12th
      @General12th 5 років тому

      How old are you? Doesn't matter -- use this whenever you want.

  • @nicholasfazzolari3647
    @nicholasfazzolari3647 8 років тому +15

    Rad! I want a slide rule. Anyone manufacturing them these days? I understand we have floating point precision in digital calculators, but I must admit doing my calculations with a slide rule seems like it would be a lot more rewarding!

    • @billl605
      @billl605 4 роки тому +2

      Finding the proper decimal point place is a work in itself.

    • @noormubeenparbhoo2158
      @noormubeenparbhoo2158 2 роки тому

      If you don't an actual one you can find them on some watches

    • @johnchestnut5340
      @johnchestnut5340 2 роки тому +1

      They now have slide rule apps for your phone. Download and enjoy. Imagine using a handheld computer to simulate a slide rule.

    • @full-timepog6844
      @full-timepog6844 2 роки тому

      @@johnchestnut5340 very analogous to things in life.

    • @peterbonucci9661
      @peterbonucci9661 Рік тому

      Amazon has round ones available from Japan. That may be the only source of new mathematical ones.

  • @Yupppi
    @Yupppi Рік тому +1

    My cousin brought a similar disc from a vacation trip, but it was like a calender. You could find planet movements and all kinds of crazy details throughout the year from it. It was such a beautiful item, the base was like a stone puck.

  • @DFX2KX
    @DFX2KX 8 років тому +1

    I've only seen a slide rule once in person. My folks and I where at a yard sale. And Dad must've recognized what it was just from the box and pouch it was (because I didn't see any labeling on it at all). And he pulls this thing out, and hands it to me.
    Needless to say, I was stumped. I knew there was something with it that I was missing, but couldn't figure it out. So he took it and multiplied a few numbers to show how it worked, and I was fascinated. Not fascinated enough to pay ten bucks for it, but it was neat none the less.
    I found out later that they made nautical slide rules, as part of the gear you attach to a chart table. That would be kinda handy of your GPS gave up the ghost on a trip, I think.

  • @Lwyte17
    @Lwyte17 7 років тому +6

    Calculex is a beautiful creation.

  • @Kneedragon1962
    @Kneedragon1962 8 років тому +10

    A slightly larger version of this was a standard instrument for pilots and flight engineers and anybody doing aviation until well into the 1980s.

    • @AustrianAnarchy
      @AustrianAnarchy 8 років тому +1

      +Kneedragon1962 The US Army used the E6B, even that was more useful than an iPhone.

    • @Kneedragon1962
      @Kneedragon1962 8 років тому

      +AustrianAnarchy LOL - I thought the E6B was a Prowler with a noisy ignition system...

    • @GBD1082
      @GBD1082 8 років тому +2

      It still is - I took my ATPL exams in 2014 using the CRP-5. I've never heard it described as beautiful though.

    • @dominicvilleneuve171
      @dominicvilleneuve171 8 років тому

      +Kneedragon1962 Yup, I still use my wizzwheel everyday.

    • @dominicvilleneuve171
      @dominicvilleneuve171 8 років тому +1

      +Dominic Villeneuve Thouh of course it is different from the one in the video seeing as it is customized for aviation.

  • @zerobeat2020
    @zerobeat2020 Рік тому

    I still have my dad's round slide rule which is an "Improved Jeppesen Computer model CR" from 1960, which allows you to calculate a host of things related to aerial navigation, from flying times, speed, distance to fuel consumption, drift, density altitude, airspeed, mach number, as well as ordinary multiplication a division. My dad used this while working as navigator with KLM Royal Dutch Airlines, well before I was born. My dad is no longer with us, but his Jeppesen calculator keeps his memory well alive! He loved flying and particularly navigation. For a while after his retirement he marked navigation exams for the Royal Dutch Flight Academy, now known as the KLM Flight Academy.

  • @willemkossen
    @willemkossen 8 років тому +1

    I love this. I have two old sliderules and learned how to use them because i wanted to find out. Its ingenious. I love that circular one! Great stuff!!!

  • @mikeg9093
    @mikeg9093 8 років тому +5

    Why is he doing multiplication on the A/B scales? Typically the C/D scales are used for multiplication and division. A/B used for squares and sq rts. when compared to C/D. He could have gotten twice as accurate to the 15M answer by using the C/D scales because they are twice as long.

    • @blue_blue-1
      @blue_blue-1 5 років тому

      There is an advantage: you don‘t get off scale.

  • @forkontaerialis5347
    @forkontaerialis5347 8 років тому +7

    If you ever needed to do fast, approximate, analogue calculations on the fly, and it was 1906 you could whisk this out....
    Oh, brilliant. Fast, approximate, analogue calculations come up every other day, and almost never without time constraints. This seems perfect for all of my needs, where can I order one.
    XD

  • @glarynth
    @glarynth 8 років тому +2

    2:15 The cursor is also indicating 7 on the D scale, which gives you a way to perform this particular calculation without using the slide at all.

  • @tehPwnzor7306
    @tehPwnzor7306 8 років тому +1

    This video finally convinced me to go buy a slide rule (a beautiful Pickett N300-T, with plans to get an N515) after months of researching and looking at them longingly. Thanks, Alex :)

  • @ParadoxBassMachine
    @ParadoxBassMachine 8 років тому +7

    One perfect tool to rule them all.

  • @SuicidialDolphin
    @SuicidialDolphin 8 років тому +54

    So this is the son of the abacus?

    • @EHaraka
      @EHaraka 8 років тому +6

      +Cyberpunk Alchemist Abacus is a digital machine, this one is analog. So, hmm... not quite.

    • @nicosmind3
      @nicosmind3 8 років тому +1

      +Cyberpunk Alchemist I would think an abacus is superior. I can remember learning one in school, but i was surprised we didnt use them more often. They were an easy and quick way to do math. And we should have stuck with them long enough to get the basic principles stuck in our heads.
      After all its how the Japanese do speed math!

    • @HarrisFalk
      @HarrisFalk 8 років тому +16

      +nicosmind3 The abacus is superior for addition and subtraction, for all other maths the slide rule is superior.

    • @SamsUndertale
      @SamsUndertale 8 років тому +1

      +EHaraka An abacus is an analog machine....

    • @lin4cba
      @lin4cba 8 років тому +1

      +EHaraka Er....how the heck is an Abacus a digital machine? (I mean the original one, of course)

  • @mikebauer9948
    @mikebauer9948 8 років тому +2

    (follow-up to below) of course there was some horsing around with them as swords, we used to wear them in scabbards on belt loops. Typically, scales A and B were for square and square root calcs, scales C and D were primary for mult and div, as they were full-length and thus more precise. Typically also, in school settings, math classes required fully reduced answers, such as "3pi/2" rather than the slide rule numerical approx answer, although you'd use the SR to check and gain practice useful for science classes. In the sixties and early seventies, professional offices were already transitioning to desktop electronic calculators before pocket calcs killed off the SRs entirely for most uses.

  • @HarryWHill-GA
    @HarryWHill-GA 8 років тому +1

    My father taught me to use a slide rule as a boy. I have his circular slide rule from Civil Engineering University around here somewhere. A useful thing when what would be a free app today was selling for $800+ when I started at University. That was most of a semester's tuition.

  • @oundhakar
    @oundhakar 3 роки тому +4

    You ought to have used the C and D scales, which are twice as long as the A and B scales.

  • @Forrestman69
    @Forrestman69 8 років тому +4

    Pilots around the world still use circular slide rules everyday in the forms of E6-Bs and CR-3s.

    • @petar_donchev
      @petar_donchev 2 роки тому

      My father was a pilot / navigator until the 80s and he had exactly the same ruler plus a large rectangular one with circular part. Besides that all routes manually calculated and laid out on drawing paper. Flying used to take considerable math skills.

  • @AndrioCelos
    @AndrioCelos 5 років тому

    I used to have a watch with a slide rule on it, a circular one used by rotating a ring around the glass. It wasn't very precise at all, but I loved it.

  • @dave5194
    @dave5194 8 років тому +1

    Oh my, that circular slide rule is just absolutely beautiful! I must have one.

  • @saboo_tage
    @saboo_tage 7 років тому +64

    It is kinda like an iphone, it doesn't have a headphone jack either

  • @scowell
    @scowell 8 років тому +5

    Wonderful video... have you done one on the Curta yet?

    • @tylerljohnson
      @tylerljohnson 8 років тому +1

      +1 for the curta, I was thinking the same. it would be interesting to have a curta-like machine that could do trigonometric calculations.

    • @tylerljohnson
      @tylerljohnson 8 років тому +3

      looks like numberphile did do a video of the curta, the same guy has one as well.

  • @TjPhysicist
    @TjPhysicist Рік тому

    i really love the slide rule on my navitimer when i wear it. i don't always wear a watch but that slide rule is super useful for quick calculations and comparisons, esp those where's being off by 2 or 3% isn't really important (tips, comparing costs per unit volume etc)

  • @alyoshakaramazov8469
    @alyoshakaramazov8469 7 років тому

    Over 60. I remember my first college chemistry class in 1972. The professor, George Pimentel, had an HP calculator, and that was the first I'd ever seen. He couldn't figure out how to use it the first day. He told us he paid over $400 for it. Everybody carried a slide rule. A year later, nobody carried a slide rule: we could get a Bowmar Brain, which sold for more than $200 in 1972, for $40.00 in 1973. I still used a slide rule in as late as 1976 because we worked out of doors and slide rules were easier to read in the bright sunlight. I used a Pickett circular slide rule then, but I don't know what happened to that one.
    Now I have an HP calculator program on my iPhone. I've still got my original slide rule from college around on my bookshelf. A Pickett, made in Santa Barbara, Calif. I think I paid $30.00 for it, and that was a huge investment at the time.

  • @kevinfontanari
    @kevinfontanari 8 років тому +533

    That thing is not like an iPhone, that thing is useful...

    • @theechelonofmars
      @theechelonofmars 8 років тому +1

      Bwahahahahahahaha

    • @marvelous1358
      @marvelous1358 8 років тому

      hahahahaha.!!!!!! I LOVE YOU MAN

    • @kevinfontanari
      @kevinfontanari 8 років тому +2

      I use a glorious Nexus 5, man! :D

    • @sonny19931
      @sonny19931 8 років тому +8

      +Kevin Fontanari you know smartphones can do calculus, right?

    • @kevinfontanari
      @kevinfontanari 8 років тому

      +sonny19931 Read above... -.-

  • @alan2here
    @alan2here 8 років тому +8

    Can use super-log, the inverse of hyper-operation 4, to do powers?

    • @NotAUtubeCeleb
      @NotAUtubeCeleb 8 років тому +1

      +Alan Tennant nothing uses tetration

    • @alan2here
      @alan2here 8 років тому

      +HybridNeos It would be useful if it works like this, because powers are a more common operation and thats the one you'd end up with finding. X^Y

    • @alan2here
      @alan2here 8 років тому

      +Alan Tennant Powers are more common than titration I mean, and much harder to do mentally than multiplication.

    • @JohnSmith-do4fm
      @JohnSmith-do4fm 8 років тому

      +Alan Tennant Most slide rules log-log scales for powers.

    • @alan2here
      @alan2here 8 років тому

      It does works for powers too? :¬o Impressive.

  • @HiwasseeRiver
    @HiwasseeRiver 8 років тому +2

    I'm old (50+) and I still keep one handy - always works when the power goes out, never needs charging and it confounds the young hipsters.

  • @Christopher_Gibbons
    @Christopher_Gibbons 8 років тому +1

    I have a beautiful Russian artillery calculator from world war 1. It is a pocket watch design like this. I used it all throughout high school. Yes, there were great graphic calculators, but sliderules don't need batteries or maintenance. Once you set up a calculation you can do it over and over for any new value you want, so for problems with many repetitive calculations it can actually be faster.

  • @enough_b
    @enough_b 8 років тому +3

    "It's actually rather lovely, the way this moves in and out, it's so beautifully done, this instrument, it's actually really pleasurable just going like this..."
    Had to.

  • @0o32
    @0o32 2 роки тому +3

    I have just bought one

  • @00Skyfox
    @00Skyfox 8 років тому +1

    I use the E6B circular slide rule flight calculator in aviation. Same principle, and works really quite elegantly.

  • @jpmac098
    @jpmac098 8 років тому +2

    We use a very similar tool to this in aviation called an E6-B. It's pretty slow compared to using a calculator but it works.

  • @chirhoiota885
    @chirhoiota885 6 років тому +3

    Forget Common Core. Kids just need to learn slide rules again.

  • @inferno7181
    @inferno7181 7 років тому +11

    The iphone of slide rules? That really isn't praise for it.

    • @General12th
      @General12th 5 років тому

      Should he have said the Galaxy of slide rules? If you don't think the modern phone is sleek and elegant, we have some strong differences in definitions.

    • @sebastianjost
      @sebastianjost 3 роки тому

      Even if current I
      iphones aren't that advanced anymore compared to their competitors (they're mostly just overpriced), these saying refer to the first iphone, which was revolutionary at the time.

  • @ricardo.mazeto
    @ricardo.mazeto 8 років тому +1

    Brady, you and these guys made me love math. Thanks.

  • @alphabasic1759
    @alphabasic1759 Рік тому +1

    Complete love this. I have a small collection of slide rules and I love them.

  • @911gpd
    @911gpd 8 років тому +22

    This thing rules...
    sorry...

  • @MazeFrame
    @MazeFrame 8 років тому +15

    Can someone make a leather-jacket with "Slide rule owners group" stiched on the back?

    • @ElectroNeutrino
      @ElectroNeutrino 6 років тому +1

      Would it be abelian or non-abelian?

    • @cutecommie
      @cutecommie 6 років тому

      smartmusicfreak Asking the real questions.

    • @pauloconnor2980
      @pauloconnor2980 5 років тому

      You'd get beaten to death if you wore one of those in Frankston!!!!

  • @meridianherschel1618
    @meridianherschel1618 8 років тому +1

    I love videos like this. More math related collectible items!

  • @dannygjk
    @dannygjk 5 років тому +1

    Those types of instruments were also used in submarines to do angle solving for aiming torpedoes, (at least those subs that didn't have sophisticated TDC's).

  • @jeffreyjefferson6047
    @jeffreyjefferson6047 8 років тому +51

    How can you possibly compare a beautiful, innovitave, elegantly designed, sleak, high class, easy to use, hardy, strong device to an iPhone? Blasphemy!

    • @General12th
      @General12th 6 років тому +1

      To be perfectly honest, iPhones (and in fact any smartphone) is beautiful, innovative, elegant, sleek, and so on. They are perfectly smooth ingots of glass and metal.

    • @SexyStarfleet
      @SexyStarfleet 5 років тому +2

      LagiNaLangAko23
      It’s funny because iPhones are supported in software far longer than any other smartphone. But you’re right, hur dur iPhone bad apple bad

  • @MonkeydoMinecraft
    @MonkeydoMinecraft 8 років тому +51

    I'm early, let's make a joke. "The iPhone is the height of technology"

    • @stephaneduhamel7706
      @stephaneduhamel7706 8 років тому

      +Kim Jong-un (Supreme Dictator) grat joke!

    • @culwin
      @culwin 8 років тому +2

      +Kim Jong-un (Supreme Dictator) ...packaged with beauty

    • @wiertara1337
      @wiertara1337 8 років тому +1

      +zaco21 It's revolutionary. XD

  • @marsgal42
    @marsgal42 8 років тому +1

    I'm a pilot and I use an E6-B circular slide rule. It provides answers quickly to common problems (speed/distance/time, wind drift, etc.) and doesn't need batteries.

  • @darylcheshire1618
    @darylcheshire1618 Рік тому +1

    I used to use logrithms in chemistry and I’d use a slide rule to see if I was close to the answer. Those 4 digit atomic weights would fill a page of workings. With just logs I had no idea if my answer was in the ball park but the slide rule helped me.
    My physics teacher told me that slide rules were banned in the early ‘70s because they were expensive and those who could afford them did so much better than those without.
    I remember the Sharp Elsimate which could only show three digits at a time and cost about $250, still more than the weekly wage in the mid ‘70s.
    In college, I remember this guy at the front had this magnificant slide rule which was about 4 inches wide, had two sliding scales and stood on four feet. we were in awe of it until the HP 45 came out.

  • @ericstoverink6579
    @ericstoverink6579 7 років тому +12

    iPhone of slide rules. So you mean that it's overpriced even though it does the same things as other less expensive slide rules, and the people who buy them only do so for the brand name?

    • @jimharmon9917
      @jimharmon9917 7 років тому

      Pretty much, yes.

    • @jpdemer55
      @jpdemer55 7 років тому +1

      And an Aston-Martin V-12 Vantage takes you to the drugstore, same as a Honda Civic. There's a bit more to it than four wheels and a motor.

  • @spicytaco2400
    @spicytaco2400 8 років тому +3

    I learned how to use a slide rule and i'm only 17.

    • @NetAndyCz
      @NetAndyCz 5 років тому

      Well, it is not that hard to operate...

  • @MaoRuiqi
    @MaoRuiqi 8 років тому +1

    You missed mentioning the monster slide rule hung above the chalk board in engineering classes. Bold and audacious! Perhaps, by your time, such beauties were already rendered to firewood.

  • @erikwern144
    @erikwern144 8 років тому +2

    My Uncle- Carl Wern- received a patent in 1968 for his ABC circular slide rule which included decimal points. This "unfair" advantage led many school teachers banning its use in the classroom. BTW, I have a few of these slide rules in mint condition for sale.