I love you. Please keep doing this. My 6 year old child loves them too. I failed math growing up, yet I'm a respected programmer. Funny how that works, Your videos helps me understand fundamentals. Thank you.
When I was exposed to mathematics in my formative years, many decades ago, I had difficulty, even though, I otherwise had a technical mind. A condition, unbeknownst or misunderstood by the learning community, caused my mind to reject mainline, more direct paths of learning in favor of indirect, often more circuitous paths, otherwise known as dyslexia. In Jr High School the math department used a method that split the teaching session into two parts: 20 minutes of instruction and 20 minutes of student demonstration at the blackboard. For me that was absolute traumatic humiliation. I aced my exams and was placed into advanced class curriculum, but when forced to perform in front of an audience, using my alternative dyslexic logic, my mind froze solid and the students were as unkind as you might imagine. The teachers suspected that I was somehow cheating on my exams, before thinking I might have had a severe performance anxiety. Math became a nightmare for me and any hope of an engineer career was dashed completely. The same dynamic played out when I tried to learn music which impossible because dyslexics scans texts and scores erratically. This tutorial bypassed my dyslexic difficulties. Thank you
even after you've gone, you're still around to teach us something new, just when I was looking for this, how comforting it was to find a video from you that explains it best than others.
Mahmut K , Laws are reserved for physical phenomena while theorems are reserved for logical problems, ie maths. We don’t have theorems of gravity! We have laws, which are demonstrable. What about theories of gravity, you ask? Aren’t theorems like theories? Well, a theory is a statement about physical phenomena which is believed to be true, but not proven to be so. (Think gravity after you consider quantum physics). In maths there are similar things called conjectures. A conjecture is believed to be true, but has not (yet) been proven. To summarize, in physical sciences a law is a proven theory and in maths a theorem is a proven conjecture.
In my humble mind I'm trying to understands how the Egyptian managed to build the pyramids and how much they did know about geometry. Thank you, I know a bit more about the "Intercept Theorem"
Is it ok to say this: lets add another point F as [DF] is another diameter. Then [AB] and [DF] meet in their middle : so ADBF is a parallelogram. And as AB=DF, it's a rectangle. So the angles are 90°.
This theorem blows my mind every time I see it. Thales was a genious. Can somebody provide a proof that the two anlgles of an isosceles are equal (if there is such a thing)? I know is self evident, but not so mathematically.
Let M be the middle of the base BC of the isosceles triangle ABC (AB=AC). Triangles AMB and AMC are congruent ( Euclid would call them equal), seeing that their sides are equal, one to one (AB=AC, MB=MC, MC common). In congruent triangles, angles opposite to equal sides are equal, so angle A = angle B (opposite to MC). This is a simple proof from my school book of Euclidean Geometry (Greece), other oroves can be found in the web.
One question tho, I agree you simply followed the proof of Thales' Theorem, but when you said that the sum of the interior angles of a triangle will always be 180 degree why was there no proof? (you did not show us the step of measuring the interior's added all together to make a 180 degree), it was only the variables you presented as X and Y.
wow, i did the same thing thales theory did, and it was the truth because that angle D. no matter what point you put it in a diameter, it will always be 90 degree, which always equals others by 180 degrees.
Yeah he might have been one but still a genious mind. I wish I could be as sharp and confident as he was. But he didn't just learn mathematics he devised a whole new branch, CALCULUS!! probably the best of mathematics.
✻☥ flower of life (ancient fractal matrix building by dividing by ❼ hidden in temple of osiris )is more than ❿ thousand years old hidden more things that we can image✻∢∇∿ ₪itibira₪☄▲▵▴
Read Euclid's elements with the real wish to understand his view of the depth of understanding of the things we see or see before practising it...moral examplified by Ancient Greeks...we are not sheep or r we made sheep by shit education system?...
true, but he was the one to apply given method to various different problems, such as measuring the height of pyramid and the distance between shore and ships approaching harbour. however, the main thing that is important about thales and his glory, is that he realized that general concepts of mathematical problems and their universality, that theorem, such as this, has more significance for knowledge than just to measure distance of ships and heights of pyramids.
![CAMPปลิ้น | EP.83[2/2] ประสบการณ์ขนหัวลุกจากตำนานวงการผี!](http://i.ytimg.com/vi/T_kFecQw7Ds/mqdefault.jpg)
Brilliant!
That was the best proof I've seen for Thales' Theorem.
Good clear presentation!
Amigo, are you still alive?
I love you. Please keep doing this. My 6 year old child loves them too. I failed math growing up, yet I'm a respected programmer. Funny how that works, Your videos helps me understand fundamentals. Thank you.
When I was exposed to mathematics in my formative years, many decades ago, I had difficulty, even though, I otherwise had a technical mind. A condition, unbeknownst or misunderstood by the learning community, caused my mind to reject mainline, more direct paths of learning in favor of indirect, often more circuitous paths, otherwise known as dyslexia. In Jr High School the math department used a method that split the teaching session into two parts: 20 minutes of instruction and 20 minutes of student demonstration at the blackboard. For me that was absolute traumatic humiliation. I aced my exams and was placed into advanced class curriculum, but when forced to perform in front of an audience, using my alternative dyslexic logic, my mind froze solid and the students were as unkind as you might imagine. The teachers suspected that I was somehow cheating on my exams, before thinking I might have had a severe performance anxiety. Math became a nightmare for me and any hope of an engineer career was dashed completely. The same dynamic played out when I tried to learn music which impossible because dyslexics scans texts and scores erratically. This tutorial bypassed my dyslexic difficulties. Thank you
So simple! But I wouldn't have seen it in 1,000,000 years.
AMEN
even after you've gone, you're still around to teach us something new, just when I was looking for this, how comforting it was to find a video from you that explains it best than others.
A channel I strongly recommend for fascinating mathematics is Numberphile!
Simple, to the point n clear explanation. As is Thales was a wizard who made life simple for mankind.
Considering his views on the shape of the Earth, perhaps a bit too simple lol
Can you believe a person from 600 BC figured this out. Thinking about that Blows. My. Mind.
why is not this called a law rather than theorem? Isn't it valid in every circle?
Mahmut K , Laws are reserved for physical phenomena while theorems are reserved for logical problems, ie maths. We don’t have theorems of gravity! We have laws, which are demonstrable.
What about theories of gravity, you ask? Aren’t theorems like theories?
Well, a theory is a statement about physical phenomena which is believed to be true, but not proven to be so. (Think gravity after you consider quantum physics). In maths there are similar things called conjectures. A conjecture is believed to be true, but has not (yet) been proven.
To summarize, in physical sciences a law is a proven theory and in maths a theorem is a proven conjecture.
The last sentence is very inspiring
Are you still alive, a stinky indian man?
you saved my math test. legend!
This is profoundly interesting.
Love your videos! You make the ideas come alive in a beautiful way. Thank you.
Amazing! I had to prove this theorem for a math class and I was unsure on where to begin. Only wish I would have found this earlier. Great video!
In my humble mind I'm trying to understands how the Egyptian managed to build the pyramids and how much they did know about geometry.
Thank you, I know a bit more about the "Intercept Theorem"
Thank you so much Sir, for this precious Video.... 🙏 🙏
Is it ok to say this: lets add another point F as [DF] is another diameter.
Then [AB] and [DF] meet in their middle : so ADBF is a parallelogram.
And as AB=DF, it's a rectangle. So the angles are 90°.
Thanks, took me back to the time I first learned Geometry and came to love it.
Suck a great video that gets to the point. Thank you!
wow, amazing! thank you for this great and clear content!
Thank you, Sir, for posting these precious videos.
Thank you this was very helpful and easy to follow keep up the good work. Thank you!
i knew this this in school but never knew it is thale, thank u
Good work!Big up Mr
This theorem blows my mind every time I see it. Thales was a genious.
Can somebody provide a proof that the two anlgles of an isosceles are equal (if there is such a thing)? I know is self evident, but not so mathematically.
Let M be the middle of the base BC of the isosceles triangle ABC (AB=AC). Triangles AMB and AMC are congruent ( Euclid would call them equal), seeing that their sides are equal, one to one (AB=AC, MB=MC, MC common). In congruent triangles, angles opposite to equal sides are equal, so angle A = angle B (opposite to MC).
This is a simple proof from my school book of Euclidean Geometry (Greece), other oroves can be found in the web.
+Konstantinos Kalaitzoglou In the above text, please read "AM" , not "MC". Hence "AM common" and "opposite to AM". Sorry for the correction.
Euclid’s elements Book One Proposition 5
In order, can someone tell me who discovered those equations near the end of the video?
This helped me SOOOO much
Is this proof of theorem and figure is right for attempting in examination
Thanks! It was really helpful!
Failed math 3 times at a major University, but I get you (U). Thank you, Hilaroad!
Thank you for this!
excellent video. Thank you very much.
Thanks for the video! Very informative!
beautiful theorem. and very easy to proof
One question tho, I agree you simply followed the proof of Thales' Theorem, but when you said that the sum of the interior angles of a triangle will always be 180 degree why was there no proof? (you did not show us the step of measuring the interior's added all together to make a 180 degree), it was only the variables you presented as X and Y.
there were no measurement using a specific type of tools to show us that the degrees measured were exactly it is.
explained well, thanks.
Very interesting, thanks
great thank u
magnific explanation.
Very nice video
I gotta like and subscribe to this one.
THANK YOU 🙌
My Sir thought me this theorem in my 8th grade but he never told me that it is known as THALE'S theorem
6:16 Thales himself stood on the shoulders of the Egyptians.
It is wrong you can't write X + X + Y + Y equal to 180 by saying that sum of interior angle of a triangle is equal to 180 degree
yeah he should mention the use of exterior angle property of a triangle before writing X + X + Y + Y equal to 180 degree
how do u prove the sum of interior angles of triangle is always 180
th-cam.com/video/6s1CI3uuhko/w-d-xo.html
Toasted Lego
thnx
vaibhav patil The sum of interior angles has been proven in this video.
thnx
wow, i did the same thing thales theory did, and it was the truth because that angle D. no matter what point you put it in a diameter, it will always be 90 degree, which always equals others by 180 degrees.
Brilliant
👍🏻👍🏻👍🏻
Its like magic
the dislikes are from people that didn't understand :>
Gonna listen to some ACDC now.
Some B-sides.
AmAAAziiiing
or you can use a protractor
Thales : i wish i were presented in this Century 😭🐽
جميل ومفيد
Isaac Newton was an Occultist who just so happened to learn mathematics along the way.
Yeah he might have been one but still a genious mind. I wish I could be as sharp and confident as he was. But he didn't just learn mathematics he devised a whole new branch, CALCULUS!! probably the best of mathematics.
Perfect
super
Hmm... So Thales made 2 theorems? Ok. Maybe more, then.
✻☥ flower of life (ancient fractal matrix building by dividing by ❼ hidden in temple of osiris )is more than ❿ thousand years old hidden more things that we can image✻∢∇∿ ₪itibira₪☄▲▵▴
Weird that this has nothing to do with what my teacher explained..
well youve certainly proven im not the brightest :D
Cool
who's here from HEHE PRODUCTIONS
thats in oxford isnt it?
couldn't he just... take a suad ruler?
Again, a lucid explanation...
th-cam.com/video/V5jQI8V3nsM/w-d-xo.html#t=326 x+x+y+y and 2x+2y and 2(x+y) they are all just the same thing. so basically that only proves one thing.
Read Euclid's elements with the real wish to understand his view of the depth of understanding of the things we see or see before practising it...moral examplified by Ancient Greeks...we are not sheep or r we made sheep by shit education system?...
who where his teachers?? bullshit he invented this, it was already known long ago in Egypt.
true, but he was the one to apply given method to various different problems, such as measuring the height of pyramid and the distance between shore and ships approaching harbour. however, the main thing that is important about thales and his glory, is that he realized that general concepts of mathematical problems and their universality, that theorem, such as this, has more significance for knowledge than just to measure distance of ships and heights of pyramids.
I'm sorry, but I just don't believe it.
Is this proof right are you sure this proof is right
Brilliant