# Squaring

### Some articles on squaring:

Polynomial Basis - Squaring
... Squaring is an important operation because it can be used for general exponentiation as well as inversion of an element ... polynomial for the field is chosen with very few nonzero coefficients which makes squaring in polynomial basis of GF(2m) much simpler than multiplication ...
Dinostratus - Life and Work
... Dinostratus' chief contribution to mathematics was his solution to the problem of squaring the circle ... he proved a special property (Dinostratus' theorem) that allowed him the squaring of the circle ... Dinostratus solved the problem of squaring the circle, he did not do so using ruler and compass alone, and so it was clear to the Greeks that his solution violated the foundational principles ...
Differentiation and The Derivative - Example
... The squaring function f(x) = x² is differentiable at x = 3, and its derivative there is 6 ... as h becomes very small Hence the slope of the graph of the squaring function at the point (3, 9) is 6, and so its derivative at x = 3 is f '(3) = 6 ... More generally, a similar computation shows that the derivative of the squaring function at x = a is f '(a) = 2a ...
Lune Of Hippocrates - History
... Hippocrates wanted to solve the classic problem of squaring the circle, i.e ... afforded some hope of solving the circle-squaring problem, since the lune is bounded only by arcs of circles ... until 1882, with Ferdinand von Lindemann's proof of the transcendence of π, was squaring the circle proved to be impossible ...
Squaring The Circle - Squaring or Quadrature As Integration
... known as integration in calculus, or quadrature in numerical analysis, was known as squaring before the invention of calculus ... were unknown, it was generally presumed that a squaring should be done via geometric constructions, that is, by compass and straightedge. 4 for squaring Curve lines Geometrically" (emphasis added) ...