The powerful procedures possible with modern mathematics are rooted in logic that began thousands of years ago. Thales' Theorem demonstrates one style of early mathematical logic, a logic that is relevant and important today.
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
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.
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.
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.
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.
✻☥ 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₪☄▲▵▴
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.
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-V5jQI8V3nsM.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?...
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.
