Napiers Bones
John Napier (1550 - 1617) was a Scottish mathematician, who made many contributions to arithmetic, including the invention of logarithms. When Kepler found out about Napier's logarithms he applied them to Tycho Brahe's stellar and planetary observations, and established his famous three laws of planetary motion.
John Napier is also remembered for 'Napier's Bones', a calculating device that allowed the user to carry out multiplication and division. When Napier was alive, most people could add and subtract small numbers, but very few people could multipy, and long division was considered a university subject!
Using the 'bones' you can carry out multiplication and division. For example if you want to multiply 12345 x 6, you arrange the bones in the correct order, and simply read off the answer.
We include a specially written booklet, that explains how to get the best from your 'bones'.
Пікірлер: 63
I'm a math teacher and I helped 3 of my students make a large set of Napier's Bones which they used to compete with in a Math/Science Fair. They won 1st place!
@jalahasinigowthami6416
3 жыл бұрын
Congratulations
Help me. I can't stop watching these videos!
If you want to be more authentic (to the way Napier did it), you can burn more digits onto the back of the bones. So you could turn over the 0-bone to get another 9-bone, turn over the 1-bone to get an 8-bone, and so forth, with opposite sides of each bone adding up to 9. This way, if you want to multiply by a number like 22 or 33, you can do it. I don't know if the bones are thick enough to take the additional burning, though.
Ooh, would love to have this. Would make math a little more fun. ^_^ Person-"Sir, would you like to use a calculator on this test?" Me-"No, i'll just use Napiers Bones" Person-"What?"
how? how did anyone think of this??
Thank you for Jankani
These are very large. I've seen bones made of ivory from hundreds of years ago, and they're barely 1/4" across. Short, too. A small container held 30 of them easily, with equally small quadratic and cubic plates. That and some jetons or an accessible scrap of paper, and you can start on enough detailed math to make creating detailed tables quick and efficient -- might be years, but not decades. And for regular large multiplication calculations, you're set to do them rather quickly. Or you can build a promptuary, or even write out the grid on paper, and solve around the edges. The truly adventurous can try their hand at local arithmetic, which is essentially converting the numbers to base two, performing some calculations, and converting back. Very mechanical, that. And is a foreshadowing of computer math almost 400 years early, after a fashion.
1:19 - Heh.
The form of multiplication was used in the 1202 Liber Abaci and 800 AD Islamic mathematics and known under the name of lattice multiplication. "Crest of the Peacock", by G.G, Joseph, suggests that Napier learned the details of this method from "Treviso Arithmetic", written in 1478.
yeah. you can draw a table like this to multiply numbers, I'm sure some people do it all the time. Must've been an incredible insight into geometry.
Where can I buy one?
These videos are so addicting...
i completely agree with you, just ignore that fool Sebassux, it is obvious that several hundreds of years ago when this was invented, it was a REAL complicated task to compile a system like this, i cant even comprehend how they started on it, it probably took weeks of trial and error
Very good👍
It's kind of awesome that my name is the same as the guy who made lattice multiplication.
Not sitting in front a glowing screens all day watching videos... but by sitting around trying to figure things out... assuming they weren't part of a working class, that actually had to do things :|
no the point isnt that we can figure it out. obviously we can since it is tought to us. im talking about all the way back when. just the sheer creative genius and collaberative brainstorming it must have taken to come up with all this stuff. sure it seems obvious to us now. but back when the entire idea of advanced mathematics was created (so i dont mean simple 1+1=2) and all the inventions around it. i find it facinating.
So he's the guy who invented those damned logarithms!
@justraven7526
4 жыл бұрын
Yes
you realy do have to wonder just how exactly they figured this out.
Actually, they're both right. It really is not complicated, but at the same time figuring out that something like this is even possible is really brilliant. Most of the best inventions in the world fit in this category, like the paperclip. Simple, but most people wouldn't think to try inventing it in the first place and many others still wouldn't have the follow-through to actually figure it out if the idea was put in front of them.
@markprange4386
3 жыл бұрын
Yes. AFTER an invention, many say they had known it all along.
The world should give much more credit to the Persians, Remember Backgommon and chest and many other things, like the Bagdad Batteries after a king wanted more Gold, and he had this idea to make Gold from ordinary metal, and his sientist MR. RAZI ( you can read about him on the internet, but you never get all the pictures from the english translations !!? ) and he actially made it happen. making Gold from ordinary metal. Razi was the first man who made alkohol and many other tings
People were VERY interested in automating calculations during the Elizabethan era. I guess you could say "they made no bones about it".
@KairuHakubi
7 жыл бұрын
that was mildly humerus. it tickled my ribs.
typical Tim laugh at the end
@Donaldbeebi
9 жыл бұрын
he smiled, not laugh :P
@SsnakeBite
8 жыл бұрын
Excuse me, he chuckled.
So tell me again, did you figure out how to multiply on your own, or did you learn it from someone else?
Now we call it the lattice method which could be drawn on paper
Well, I think people have made alcohol since time immemorial. You can ferment almost any sort of edible vegetable or other green stuff and produce alcohol. So I believe they made alcoholic beverages thousands upon thousands of years ago and the discovery was not made by single individual, but developed over time.
They use this method in British school but you do in a box so they call it a multiplication box (I think that's the name)
well i suppose that would indeed help quite a bit..
We learnd this in school
@joexd6354
3 жыл бұрын
so what?🤦🏻
i learned this five years ago in fourth grade.
Razi discovered alcohol (as in molecule) not alcohol (as in booze).
Hmm, a printable version you cut-out of paper would be nice.
I like computer and his history.computer is my favourite subject
It's really not that difficult. Look closely at each "product". First 6*5=30 now write it as 3/0 using 0 as the base number and 3 as the carry over. Now the next number 6*4=24 same pattern written as 2/4 where 4 is the base and 2 is the carry over. Don't forget to add the base of the second number with the carry over from the first number to get the true second base number. Continue on and on. And I didn't even google it!
We called it lattice multiplication in high school.
@haniyasohail1096
3 жыл бұрын
Yes
Also agree that during a time when a large portion of Europe couldn't read and fewer still owned books, (Bibles were the only books one could consider common -- and they weren't that common) this was particularly brilliant. The most math commoners might do on any given day would be to count steps out between fence posts or a couple coins to buy something.
if you think about it, all this really does is short multiplication. it's really not that complicated.
bones from the nile
Great until you gotta use the same number twice
...look at the bones!
Not so archeological.... engineers' "regolus calculator", "slide rule", "slipstick" has the same principle and we used it to go on the moon!
@JohnsonLobster
10 жыл бұрын
"Archaeological" is a joke. They're called bones. Bones, archaeology... get it?
@robertlozyniak3661
8 жыл бұрын
+kowalski2015 Actually, no. A slide rule works on a completely different principle.
Very true! but you seem to forget that the Abacus (early counting device) was already invented in 2000 BEFORE christ and was pretty common in europe in the 15 and 16th centuries :)
What the...
this is a little like lattice
tim your a good guy but dont smile like that at the end 0.0
1st comment
Well they didn't have videogames and TV so...nothing else to do I guess.
@markprange4386
3 жыл бұрын
There was plenty to do then, and more got done.
centuries of boredom
You really don't
It's not complicated. It works by the exact same principle that you would use to calculate multiplications by hand. I'm amazed the you had difficulty figuring this out, tbh...