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1 day ago · In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
- The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
- Theorem
2 days ago · The smallest (and unique up to rotation and reflection) non-trivial case of a magic square, order 3. In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. [1] [2] The 'order' of the magic square is the ...
2 days ago · This is a list of countries and dependencies ranked by population density, sorted by inhabitants per square kilometre or square mile. The list includes sovereign states and self-governing dependent territories based upon the ISO standard ISO 3166-1.
2 days ago · Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the ...
3 days ago · Originally an abstract mathematical concept from the branch of number theory known as modular arithmetic, quadratic residues are now used in applications ranging from acoustical engineering to cryptography and the factoring of large numbers . History, conventions, and elementary facts.
2 days ago · Samuel Langhorne Clemens (November 30, 1835 – April 21, 1910), [1] known by the pen name Mark Twain, was an American writer, humorist and essayist. He was praised as the "greatest humorist the United States has produced," [2] with William Faulkner calling him "the father of American literature ." [3] His novels include The Adventures of Tom ...
1 day ago · Asunción ( English: / ɑːˌsuːnsiˈoʊn, ˌɑːsuːnˈsjoʊn /, [3] [4] [5] Spanish: [asunˈsjon]) is the capital and the largest city of Paraguay. The city stands on the eastern bank of the Paraguay River, almost at the confluence of this river with the Pilcomayo River. The Paraguay River and the Bay of Asunción in the northwest separate ...
