@@Rant.t24 A circle has to have a radius in general. And we assume a circle with radius to draw a general circle. When you just put a dot it doesn't have any radius, but it can be referred as a point circle. The thing is, apoint circle is a very special case of a circle whose radius is zero, so you can't draw a point circle for general cases. Also, Eddie woo's point still stands as a your point circle doesn't have a radius, you can't compare it's size with anything, like imagine comparing something with nothing. But still if you say 0 is comparable, then the context is important here. Eddie said that bigger circle is easier to draw than smaller circles in the context that he should draw by hand. If you just put a point, it might look like a circle but when you zoom it in enough you'll see irregularities in your ink used.
@@coderanger7708 This also confirms that you can not physically draw a dot and that any "dot" you draw is a circle with a radius, and so the argument stands
Even though I already studied the basics of Trigonometric functions not even a month ago, it'll definitely come in handy at some point. I love watching your lessons because of the way you present and teach them. It just makes me want to learn even more and more. Good job Sir! Your work is much appreciated!
Mr Woo, your enthusiasm for mathematics is absolutely contagious! I can never thank you enough for your very engaging and easy to follow presentations. I'd definitely recommend your material to any maths student or enthusiast sir, you're absolutely brilliant! Greetings from South Africa.
Hello Mr. Eddie You have reached many parts of the world with your videos and have helped so many people. Thank you would obviously be a little understatement :) It really brings tears of joy to my eyes to see how a person can touch upon many lives when I go through some of the comments underneath each of your videos. I may be older but I do look up to you when it comes to teaching mathematics. I teach lower grades, but I love maths and I watch your videos to further my knowledge and skills. Though, I may not have a hundredth of your teaching and maths knowledge, I do share one thing, for sure, with you, which is the positive energy and the passion for what you do. Love and respect from Egypt :) I still have a question that I would like to ask, though :) My question would be: Sine of any angle that is a multiple of 45 degrees would always assume 1/sqrt2. However, not all the y-coordinates of those angles will assume a positive value. My brain finds it hard to connect the idea of finding the y-coordinates using the sine function. Any help would be much appreciated (anyone!) :)
I love the way you're explaining these things I already know a big part of what you're teaching, and even a bigger part of Israel's lazy curriculum (no induction proof and oblique asymptotes, and probably some other stuff in calculus), but your videos are too interesting not to watch My favorite videos of yours are about e^i(pi)-1=0. I watched so many videos on it without understanding it fully, and you just explained the whole thing in about a hour (maybe), while also explaining imaginary numbers and Taylor series from zero You're awesome
It might have something to do with it being close to the number of days in a year. The earth roughly moves 1 degree every day. That's just a guess though.
It's a good guess though. It was what they were aiming for. The "official" reason for the extra 5 or so days was that they were "Holy days" to be considered as existing outside of time. Interestingly the whole system was set up to harmonize with the human heart beat. The heart beat was the basis for the second, and numbers like 12, 60 and 360 were prolific in factors, which makes them convenient to work with at a practical level, and for the mystically inclined symbolized fecundity. The seven days of the week is based on the observation that six equally sized circles will surround perfectly a seventh circle of the same size. Thus the central circle was the day of rest, around which the six others would revolve, symbolizing the six work days and the so called Sabbath day of rest. Creative bunch us humans...