Pythagorean Theorem: The Spiral of Roots

[ATACEEE]

thx!!!

[Cosmicextry]

@chris3443 the first example implies no -right- triangle has two sides of length 1 and hypotenuse of length 2. I don't think the example itself proves the triangle inequality nor does the pyth thm

[TheCriiss1996]

Amazing. I have to this for tonight. Its due tomorrow. :P

[FelipeZucchetti]

interessting...

[Andyg2g]

"attractive spiral" haha nice

[joejacksonriley]

wow its like your teaching for retards.

[Thisisnotmyrealname8]

Good teacher this guy.

[andymillerisdabest]

I understood Pythagorean theorem at school, but never really thought about it too much. Great video that got me thinking about it again.

[mynameisman66]

your the greatest math teacher ever

[GetMeThere1]

So....is it true that the square root of an integer is either another integer or an irrational number? And never a decimal?

[Hamonocci]

i love math! i dont understand most of what i look at each day, but ill continue to learn new math with videos like this .Thank you.

[marcusFOREVER]

Man you are the greatest math teacher :)

You really know how to explain things... keep it on :)

[esosa93]

thank you so much!! i had to do this for my algebra 2 hw... now i get it thanks..

[passwords2005]

great

[alcolo176]

thanks a lot!!! pretty smart instructor!!

[dtrain89stud]

Thank you for clarifying- you are an awesome educator!

[nickharvey7]

Good series of videos !

These spirals must represent something in nature and the Universe because we can see them in different ways like galaxies and sea shells.

[chickenliam]

I would like us all to notate mathematics in a different way, using only prime numbers (e.g. 8 = 2 to the power of 3) as every other non-prime is a product of primes. Nature and the universe can all be explained by prime numbers and their relationships to each other.

[nillawafer96]

thank you, every other vidoe i turn to just confuses me more... but this cleared everything up... u are a great teacher!

[rolfch1p]

wow! never knew that! thanks

[tedfreeway]

Great video series!

[you4n00b]

Just getting back into math so thank you very much for this.

Why does each added problem always have X as the solve for, would you not make a new disignator such as say Y or Z or another letter? Or are you(we) allowed to (re)use X once one part of a problem has been solved for anew? Thanks in advance!

[nicole14RN]

nice video...very helpful...really helps me a lot... Thank you so much!!!!

[mrsilvermink]

thank you so much!!

[WAHsu]

Math TV, The thanks I have for these videos resonate from within deep of my existence.

Very useful, very easy to follow your words.

More humans need to take note on your abilities to teach.

Namaste.

[UwiLlNvNoe]

good

[zaiah777]

great

[lmcdowall]

heh heh i like it

[nancy128]

nice

[Zlap75]

thanks so much!!

i wish you were my math teacher!

[kirchofvid]

Wow, so great!!

[ShaneThompson94]

the pythagorean therom math i have is like:

ill just say a is 12 and b is 4!

a2 + b2 = c2

12(2) + 4(2) = c2

144 + 16 = c2

square root of 166 = c2

c2= 12.64

[dirtyroom1]

dude what the man was talking about was the numbers that are not able to come out to a whole number. like we cant take 5 squared and get a whole number. his whole mini lesson was on the irational numbers, and new notation to describe the leingth of each side.

[hyperkeiper]

144+16 = 180, not 166.

[ShaneThompson94]

good try but it its actually 160, i was only making an example off the top of my head so people would understand me, but how did you get 180?

[hyperkeiper]

Sorry I meant to say 160.

[mrherbert12345678]

lol you mean 160. wow.

[mike73dotcom]

@ShaneThompson94 my calculator shows that 12.64x12.64 (or 12.64(2)) = 159.7696...NOT 166

[ShaneThompson94]

@mike73dotcom i just made one up at the time and did it quickly off the top of my head, i had a math test in an hour before i commented that and i needed help. Sorry if i ruined your day Mr Math Magician lol

[Surfister]

hypoteneuse--»h

n--»number of triangles

i think If we know the hypoteneuse we can calculate the number of triangles we've drawed to get to the actual triangle... but i'm not shure... by the expression:

h=[root]n+1

Am I right?

[sasapanama1]

@Surfister Why are you not 'shure'?

[carcinosgb]

Thanks!!! Eres el amo!!

[odjhyde]

I'm a student. can you help me solve this problem. It involves trigonometric identities.

Q. Show that: sinθ(1+2cosθ)= sinθ+sin2θ?

Plot the curves for sinθ and sin2θ and hence calculate the area enclosed by the two curves between θ=0 & π/6

thanks

[MathMikie]

i will be making some videos on A LEVEL maths that might be helpful to you

[calexculux]

It's simple just expand an remember a proof.

i.e 2sinthetacostheta=sin2theta.

[Wuzzi55]

math, is art

[tydrin]

idiot

[scientistwriter]

splendid as always.

[Khobraz]

thanks for a great video, have a nice week :)

[Jacobsen26]

This was fun to watch. Thanks Mr. MathTV.

[chris3443]

Does the first example imply that a triangle with two sides of 1 and hypoteneuse of 2 is an impossible shape in reality?

[MathTV]

The triangle exists just as you see it. The implication is that not all numbers can be written as fractions or decimals. In fact, there are an infinite number of these numbers that cannot be written as fractions or decimals.

[KodeLiMe]

This is absolutely mind blowing. I <3 Math :)

[opinionhead444]

I agree. That is a beautiful piece of math art.

I also like the way you can use the seperate line segments to quickly construct a triangle with a hypotenuse of irrational length.

sqrt(3), sqrt(2), sqrt(5)

Only with the Pythagorean Theorem is anyone allowed to make that association above.

[CousinoMacul]

I always thought that was a pretty spiral.