Had to google 'euclidian theory :)'....yes, what amazes me is the Chinese figured this out 3000 years ago and the Greeks a bit over 2000 years ago, yet many places on the planet today , they are still further back than the Chinese were then.
Yes, Euclid was great. A lot of the basic geometry of his maths (back then they saw shapes as the basis of mathematics not numbers), and you have a unit length of 1 (doesn't matter which) and using a map and a compass you could turn that into a whole range of things. It's an interesting set of mathematics that is so counter intuitive today but was basic back then. It's good to see.
oh by the way, I was going to include another segment in the vid , but did not due to length... You don't have to use degrees, like the 360. Because of the Pi and 30 degree problem, it is easy enough to just keep bisecting the circle and getting 256 or 512 divisions, then doing the tooth divisions with that. I searched around on the net and found that 360 is a convenient but arbitrary division system as it is divisible by quiet an array of numbers...the french tried making it decimal, but anyhow, 360 is convenient, but not totally necessary.
Yeah its all just of reasonable fractions. Where 1 would lead to fractions such as 1/2 instead of 180 degrees. I do like the idea of the powers of 2 system with 256 or 512 though. A problem does occur with trying to use it as the smallest measurement, whereas with degrees they are subdivided into minutes then seconds.
I remember seeing my first computer, in a high school math class, when punch cards were in use. It took up a whole desk, a pile of cards, and 10 minutes to calculate and print out 1,2,3,4,5. and I only heard of Pi decades later. Ha, you definitely had a good school, or you were a good student!
The first computer that I ever touched was the IBM 1620 (en.m.wikipedia.org/wiki/IBM_1620_Model_I). The big box was the size of a chest deep freezer - and the peripherals took up the rest of the room. It also required a 5-ton air conditioner - or it would go up in smoke. The 1620 was wondrous, but to fire it up you had to load a 10 byte initial bootstrap via the console switches. That loader taught it enough to read the next bootstrap from the paper reader, which - in turn - got you enough to load something else via the card reader.
yeah I considered that, and so the non math ways appeal to me. Fortunately with metrics I can afford to do some double checking. I suppose one would have to convert the inches with their fractions to decimals to do calculations? We got rid of imperial measurements when I was a teenager. The transition was a little tricky , but way worth it.
the online machinits i watch (mostly usa, and ardent enthusiats of the fractional system) have found a work around, they talk in decimal thousands of an inch, thus they dont see it as losing their old system but is much more useful and easier to convert
Wasting of time..that's an old computation..we're now in a digital world.. Set it in a turning machine,minutes you got what you have got. Time is gold.
Holy heck the euclidian theory work in this. Roughly beautiful is a new phrase.
Had to google 'euclidian theory :)'....yes, what amazes me is the Chinese figured this out 3000 years ago and the Greeks a bit over 2000 years ago, yet many places on the planet today , they are still further back than the Chinese were then.
Yes, Euclid was great. A lot of the basic geometry of his maths (back then they saw shapes as the basis of mathematics not numbers), and you have a unit length of 1 (doesn't matter which) and using a map and a compass you could turn that into a whole range of things. It's an interesting set of mathematics that is so counter intuitive today but was basic back then. It's good to see.
Cool, it begs further investigation :)
oh by the way, I was going to include another segment in the vid , but did not due to length... You don't have to use degrees, like the 360. Because of the Pi and 30 degree problem, it is easy enough to just keep bisecting the circle and getting 256 or 512 divisions, then doing the tooth divisions with that. I searched around on the net and found that 360 is a convenient but arbitrary division system as it is divisible by quiet an array of numbers...the french tried making it decimal, but anyhow, 360 is convenient, but not totally necessary.
Yeah its all just of reasonable fractions. Where 1 would lead to fractions such as 1/2 instead of 180 degrees. I do like the idea of the powers of 2 system with 256 or 512 though. A problem does occur with trying to use it as the smallest measurement, whereas with degrees they are subdivided into minutes then seconds.
Thank you. Nicely done. The stuff that they used to teach in school.
You must have gone to a good school....I don't think they taught me this stuff in my school... :)
They did once upon a time, before everyone had computers....
I remember seeing my first computer, in a high school math class, when punch cards were in use. It took up a whole desk, a pile of cards, and 10 minutes to calculate and print out 1,2,3,4,5. and I only heard of Pi decades later. Ha, you definitely had a good school, or you were a good student!
The first computer that I ever touched was the IBM 1620 (en.m.wikipedia.org/wiki/IBM_1620_Model_I).
The big box was the size of a chest deep freezer - and the peripherals took up the rest of the room.
It also required a 5-ton air conditioner - or it would go up in smoke.
The 1620 was wondrous, but to fire it up you had to load a 10 byte initial bootstrap via the console switches.
That loader taught it enough to read the next bootstrap from the paper reader, which - in turn - got you enough to load something else via the card reader.
Now calculators do all of it for you. Very sad if you ask me.
Greatest teacher ever! Thank you for all your videos!
Fascinating. You sir, are a genius.
Thanks.
13:18 your sprocket tooth count template is a fantastic idea. Just get the correct sprocket size straight from the template. Thanks for sharing 😄
Indeed it is worth the time making one.. it makes small cog divisions a much less stressful process.
Great video!
Thanks.
how terrible this video would be if you did all that math in inches and fractions! lol thank you for another great video
yeah I considered that, and so the non math ways appeal to me. Fortunately with metrics I can afford to do some double checking. I suppose one would have to convert the inches with their fractions to decimals to do calculations? We got rid of imperial measurements when I was a teenager. The transition was a little tricky , but way worth it.
the online machinits i watch (mostly usa, and ardent enthusiats of the fractional system) have found a work around, they talk in decimal thousands of an inch, thus they dont see it as losing their old system but is much more useful and easier to convert
Ah , I see. So they sort of decimalized the imperial system by reducing things to thousands of an inch?
yep, plus most have memorised the metric common sizes such as 6 mm is 236 thou, as you might want to make a rod to then thread with metric
Good lord, I take modern CAD programs for granted.
Yes CAD is amazing....but not much use if you are far from a computer . But great nonetheless.
Math has a practical application!
yes it does.. but I still try and avoid it where possible. :)
nice pencil :-)
they come in handy.
Hello sir please help me how meni sproket teeth diwiding farmua
Wasting of time..that's an old computation..we're now in a digital world.. Set it in a turning machine,minutes you got what you have got. Time is gold.