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Support for finding out of hypotenuse
Which one of the sides is the hypotenuse?
# Pythagorean theorem
The top-right diagonal
Likewise, looking at this spiral of numbers, find the few first items along the diagonal, beginning with 4, 16, 36,...
# Natural numbers
What is bigger?
Consider the unit squares in the infinite square lattice in the plane on one side, and the integer numbers, as well infinitely many of them, on the other side. What can you say about them?
# Set theory
Written with this little fancy two up in the air, the square of a number is simply this number multiplied by itself. Compute the squares of the following numbers:
# Powers of integer exponent
The bottom-left diagonal
In the spirale of numbers, complete the sequence of numbers that appear on the bottom-left diagonal, starting from 1, then 9, then...
The legend says that the young Carl Friedrich Gauss found a way to baffle his teacher by finding a way to sum all the integers between 1 and 100 in a matter of seconds. Do you know the answer?