Sequences 5: Golden Rectangles

you are supposed to use a compass when you drop it down.
you would put one side of the compass to the mid point on one of the sides and the other side of the compass to the corner of the square.
follow the diagonal line.

i dont understand the part where he drops the rounded part from the top right vertex of the square. Arent you supposed to measure it? Is it supposed to the circle from the midpoint of the base of the square?

He didn't explain clearly enough. He assumes the individual watching has knowledge of the Pythagorean Theorem: In a right triangle, the square of the longest side is equal to the sum of the squares of the smaller sides, so square root of 5 squared is equal to 1 squared plus 2 squared.

(1² = 1) + (2² = 4) = square root of 5

You are stating false equation there
1+4=5 ≠ √5

Correctly: (X is the yet unknown hypotenuse)
1² + 2² = X²
X²=5 | √
X=√5

please tell me how do you type the square root the non equal and the square symbols thanks

I just copied and pasted them from special characters list (type in google "special characters")

Or you can press ALT down and then type sequence in numpad, like ALT+253=²
Find out those sequences on web.

poopyshart! just kidding. I was hoping to here about the chambered nautilus....

Thanks for the awesome and clean explanation.

lol awesome comment!!!