Sentence examples for Quadrature from inspiring English sources
noun
The process of making something square; squaring.
(See Sidebar: Quadrature of the Lune).
Quadrature of the Parabola demonstrates, first by "mechanical" means (as in Method, discussed below) and then by conventional geometric methods, that the area of any segment of a parabola is 4/3 of the area of the triangle having the same base and height as that segment.
An example of the latter form of modulation is quadrature amplitude modulation (QAM).
QAM signals actually transmit two amplitude-modulated signals in phase quadrature (i.e., 90° apart), so that four or more bits are represented by each shift of the combined signal.
One important modulation method was quadrature amplitude modulation, or QAM.
His astronomy thus made pressing and practical the otherwise merely difficult problem of the quadrature of conics and the associated theory of indivisibles.
A summary of these quadratures of lunes, written by Eudemus of Rhodes (c. 335 bc), with elaborate proofs, has been preserved by Simplicius.
John Wallis presented a quite different approach to the theory of quadratures in his Arithmetica Infinitorum (1655; The Arithmetic of Infinitesimals).
Having read Barrow's geometric lectures, he devised a transformation rule to calculate quadratures, obtaining the famous infinite series for π/4: Leibniz was interested in questions of logic and notation, of how to construct a characteristica universalis for rational investigation.
While not able to square the circle, Hippocrates did demonstrate the quadratures of lunes; that is, he showed that the area between two intersecting circular arcs could be expressed exactly as a rectilinear area and so raised the expectation that the circle itself could be treated similarly.
A commentary on the Encheiridion of Epictetus and a work on quadratures are extant.
