Say the sqrt(2) = a, why does a*2 = a+a = a^3 ? This doesn’t happen with any other number? It seems your example states it can happen with any number? Can you please provide another number example where this happens or explain what im misunderstanding?
Just because it doesn't happen with other hinders doesn't make it special. It works with two - 2+2=2*2. It does not work with root two. Root 2 squared does not equal two root two. And a^2=a+a for two and zero. Root two squared is not the same as root two plus root two. Root two square is two. What you may mean is what Terrence said a^2=(a^3)/2 And if a is root two you can replace two with a^2 a^2=(a^3)/(a^2) They're the same because the bottom a factors out. If you want to say a^2=a+a the only solution is two. Not root two. If you make an equation a^2=a+a collect like terms a^2=2a move over the 2a a^2-2a=0 factor a(a-2)=0 a=0 and a=2 0^2 = 0+0 and 2^2 = 2+2 What he was stating was if a= root two a= (a^3)/2 So he's really just saying a=(a^3)/(a^2) when reduced a=a He presents it as a^2=(a^3)/2 Square a number and it's equal to the cube divided by two. We can also find a number so when we go to the fourth power, it equals to the third power over 3 a^4 = (a^3)/3 multiply both sides by three 3a^4 =a^3 move over the right side to the left 3a^4 -a^3=0 factor a^3(3a-1)=0 a^3=0 and 3a-1=0 a=0 and a=1/3 You can take 1/3 to the fourth power and it equals a to the third power divided by 3 (1/3)^4 =((1/3)^3)/3 ((1/3)^3)/3= (1/3)^3)*(1/3) (1/3)^4=(1/3)^4 Sometimes in math you have one solution, two solutions, many solutions or Infinite solutions. So what does Terrence say this "trick" means? It's just a solution If he's saying conventional math is flawed, how can you use conventional math to prove Terrence math anyway, I suppose. Pythagoras had interesting ideas on one and two. Iamblichus wrote about what little we know of Pythagoras. The Theology of Arithmetic. I would actually recommend "A Beginner's Guide to Building the Universe". Each chapter goes over the first 10 numbers and what they believed in ancient times and the symbolism and properties they hold. Here is some stuff from Pythagoras on one and two limitless/Even - like air or vapor - Limit/Odd - The form of things - Masculine is odd - Feminine is even - Evens are all multiples of two. Of the mother and all numbers are of a two and multiple of 2 All odds are unique. But with the mother 2, they make more numbered that are odd and even. 1,3,4,5,7 2,4,6,8,10 Every other number is an odd or an odd times and even. Or even times and even. 2x2 =4 2x4=8 2x8= 16 2x16 = 32 And the numbers in between 2X3=6 2x5=10 2x7=14 2x9=18 The other ones are male 3,5,7,9,11,13,15,17,19,21 The odds, evens all work together. But most numbers are multiples of 2 and an even or 2 and an odd. So the 2 gives life. Visually you can see that the rectangle or odd always has a square you can make of it or it’s made of. 2/3 of its shape. Always odds even in evens It’s always 1, but that wasn’t considered a number. Then 2 Everything is adding or multiple of those two Things are limited or limitless or both limited and limitless limitless once limited gives you a point. Then twice limited gives you a line. Three times limited gives a triangle
But yet our basic math and our understanding of math cannot even comprehend the building of the pyramids. Something along the way change math differently from what the Sumerians knew
@@brandonmarzano8862 we worked out the pyramids. They were cast limestone using a recipe we only just discovered. Using lime shell midden dug from the Nile shore. Google geopolymer institute
Maybe it looks magical because it is math and some people don't understand it =)
Thanks @robertveith6383 for catching the equal sign error. I'm prone to errors but do my best.
Say the sqrt(2) = a, why does a*2 = a+a = a^3 ?
This doesn’t happen with any other number? It seems your example states it can happen with any number? Can you please provide another number example where this happens or explain what im misunderstanding?
Just because it doesn't happen with other hinders doesn't make it special. It works with two - 2+2=2*2. It does not work with root two.
Root 2 squared does not equal two root two.
And
a^2=a+a for two and zero.
Root two squared is not the same as root two plus root two. Root two square is two.
What you may mean is what Terrence said
a^2=(a^3)/2
And if a is root two you can replace two with a^2
a^2=(a^3)/(a^2)
They're the same because the bottom a factors out.
If you want to say
a^2=a+a the only solution is two. Not root two.
If you make an equation
a^2=a+a collect like terms
a^2=2a move over the 2a
a^2-2a=0 factor
a(a-2)=0
a=0 and a=2
0^2 = 0+0 and 2^2 = 2+2
What he was stating was if a= root two
a= (a^3)/2
So he's really just saying
a=(a^3)/(a^2) when reduced
a=a
He presents it as a^2=(a^3)/2
Square a number and it's equal to the cube divided by two.
We can also find a number so when we go to the fourth power, it equals to the third power over 3
a^4 = (a^3)/3 multiply both sides by three
3a^4 =a^3 move over the right side to the left
3a^4 -a^3=0 factor
a^3(3a-1)=0
a^3=0 and 3a-1=0
a=0 and a=1/3
You can take 1/3 to the fourth power and it equals a to the third power divided by 3
(1/3)^4 =((1/3)^3)/3
((1/3)^3)/3= (1/3)^3)*(1/3)
(1/3)^4=(1/3)^4
Sometimes in math you have one solution, two solutions, many solutions or Infinite solutions. So what does Terrence say this "trick" means? It's just a solution
If he's saying conventional math is flawed, how can you use conventional math to prove Terrence math anyway, I suppose.
Pythagoras had interesting ideas on one and two. Iamblichus wrote about what little we know of Pythagoras. The Theology of Arithmetic.
I would actually recommend "A Beginner's Guide to Building the Universe". Each chapter goes over the first 10 numbers and what they believed in ancient times and the symbolism and properties they hold.
Here is some stuff from Pythagoras on one and two
limitless/Even - like air or vapor -
Limit/Odd - The form of things -
Masculine is odd -
Feminine is even -
Evens are all multiples of two. Of the mother and all numbers are of a two and multiple of 2
All odds are unique. But with the mother 2, they make more numbered that are odd and even.
1,3,4,5,7
2,4,6,8,10
Every other number is an odd or an odd times and even. Or even times and even.
2x2 =4
2x4=8
2x8= 16
2x16 = 32
And the numbers in between
2X3=6
2x5=10
2x7=14
2x9=18
The other ones are male
3,5,7,9,11,13,15,17,19,21
The odds, evens all work together.
But most numbers are multiples of 2 and an even or 2 and an odd.
So the 2 gives life.
Visually you can see that the rectangle or odd always has a square you can make of it or it’s made of. 2/3 of its shape. Always odds even in evens
It’s always 1, but that wasn’t considered a number. Then 2
Everything is adding or multiple of those two
Things are limited or limitless or both limited and limitless
limitless once limited gives you a point. Then twice limited gives you a line. Three times limited gives a triangle
√2 = a, a^3 = a*2 because a*a*a = 2 * a
a³ = 2×a
a = (a³)/2
if a = √x, then √x × √x × √x = x√x
is all Terrance is saying
You should have made the speech at Oxford instead.
Lol
Most basic general formula witch solves this equation is:
((√(A))^3)/A = ((√A)^2 * √A)/ A = (A*√A)/A = √A
If A= 2, we all know the result.. √2
So, the "loop" definition is in others words a exponential arithmetics visualization...
But yet our basic math and our understanding of math cannot even comprehend the building of the pyramids. Something along the way change math differently from what the Sumerians knew
@@brandonmarzano8862 we worked out the pyramids. They were cast limestone using a recipe we only just discovered. Using lime shell midden dug from the Nile shore. Google geopolymer institute