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Pythagoras' theorem proves that if you draw a square on the longest side (the hypotenuse) of a right-angled triangle, its area is the same as the areas of the squares drawn on the two shorter sides, added together. See 'Pythagoras' theorem' under 'Sources and related links' below.
Pythagoras' theorem holds for any right-angled triangle. But of special interest to Fermat were right-angled triangles where all the three sides were whole number lengths. These special lengths are known as Pythagorean triples.
Here are some Pythagorean triples:-
(3,4,5) (5, 12, 13) (7, 24, 25) (8, 15, 17)
In each case, the square of each of the smaller numbers is equal to the square of the largest number.
Fermat said that if instead of constructing squares (two dimensional figures) on the sides of right-angled triangles, you constructed cubes (three dimensional analogs of squares), or hypercubes (four dimensional analogs) or higher dimensional cube-analogs, there are no equivalents to the Pythagorean triples. In other words, there are no whole number values for 3, 4 or more dimensional analogs of the square.
What else can I help you with?
What was pythagoras' full name?
Firstly in Greek, then in English.Ὁ Πυθαγόρας ὁ Σάμιος or simply Ὁ Πυθαγόρας; Pythagoras of Samos or Pythagoras the Samian, Or Pythagoras Patel
What was Pythagoras' first name?
He was simply known as Pythagoras of Samos.
What is Pythagoras last name?
patel
What Great Mathematicians are still alive?
Andrew Wiley, who solved Fermat's Last Theorem. Andrew Wiley, who solved Fermat's Last Theorem.
What is the answer for Fermat's Last Theorem?
Fermat's Last Theorem states that an + bn = cn does not have non-zero integer solutions for n > 2. Various mathematicians have worked on Fermat's Last Theorem, proving it true for certain cases of n. In 1994, Andrew Wiles revised and corrected his 1993 proof of the theorem for all cases of n. The proof is very complex.
What is the number that no value of can be greater than for the solutions to the equation in fermats last theorem?
Fermat's last theorem states that the equation xn + yn = zn has no integer solutions for x, y and z when the integer n is greater than 2. When n=2, we obtain the Pythagoras theorem.
Who is person who is solving Fermat?
Andrew Wiles solved/proved Fermats Last Theorem. The theorem states Xn + Yn = Zn , where n represents 3, 4, 5,......... there is no solution.
What is fermats last theorem?
Fermat's Last Theorem is sometimes called Fermat's conjecture. It states that no three positive integers can satisfy the equation a*n + b*n = c*n, for any integer n greater than two.
Mathmeticians with algebra formulas named after them?
de Moirve's theorem, Pascal's triangle, Pythagoras triangle, Riemann hypothesis, Fermat's last theorem. and many more
Did anyone oppose to the pythgreom theorm?
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
What president invented the pythagorean theorem?
A previous US president didnt invent the Pythagorean Theorem. A mathematician with the last name of "Pythagoras" did. After he died, his students continued with his studies and once they perfected it, they named the famous theorem after Pythagoras, their professor. However, President ames Garfield devised a new proof for the theorem and Garfield's proof still appears in geometry books . There was a mysterious society known as the Pythagoreans who studied some mathematics, but also attached mystical properties to numbers . It is not certain what Pythagoras the person actually did or even if he actually existed.
Why did Fermat's theorem seem easy?
Pythagoras's theorem, that in a right angled triangle, a2 + b2 = c2 where c is the hypotenuse and a and b are the other two sides is easy to state and its proof has been known for centuries. Fermat's last theorem is analogous but opposite, and is equally easy to state: For any index (power) greater than 2, the analogy of Pythagoras's theorem has no integer solution (other than trivial ones eg a = 0 or b = 0).
What was pythagoras' full name?
Firstly in Greek, then in English.Ὁ Πυθαγόρας ὁ Σάμιος or simply Ὁ Πυθαγόρας; Pythagoras of Samos or Pythagoras the Samian, Or Pythagoras Patel
Was Fermat's Last Theorem really his last theorem?
This was not the last theorem that Fermat wrote. Rather, it was the last one to be proven/disproven.
How many pages does The Last Theorem have?
The Last Theorem has 311 pages.
When was The Last Theorem created?
The Last Theorem was created in 2008-07.
What is the fermat last theorem?
That there are no whole number solutions to the equation: xn + yn = zn when n > 2. If n = 2 this is: x2 + y2 = z2 is known as Pythagoras' Theorem, and has many whole number solutions, eg 32 + 42 = 52, 52 + 122 = 132.
