Dinostratus, a Greek geometer and disciple of Plato, discussed the curve, and showed how it effected a mechanical solution of squaring the circle.
It became known as the "Delian problem" or the "problem of the duplication of the cube," and ranks in historical importance with the problems of "trisecting an angle" and "squaring the circle."
(C. E.*) Squaring of the Circle.
The secret will be squaring a few circles rather than walking around the truth.
The fluctuations are then demodulated via squaring and band-pass filtering.
Also squaring off a few peeps from active operations.
squaresecret will be squaring a few circles rather than walking around the truth.
(III.) Again in (I.) transposing a x (bc) to the other side and squaring, we obtain 2(ac) (bc)axbx = (bc) 2 a'+(ac) 2 bx- (ab) 2 c1.
Lastly he gave an infinite product for the number it (see Circle, Squaring Of).
He attempted the quadrature of the circle by interpolation, and arrived at the remarkable expression known as Wallis's Theorem (see Circle, Squaring Of).
Thus or otherwise he had become sufficiently known by 1645 to be chosen as a referee, with Descartes, Roberval and others, in the famous controversy between John Pell and the Dane Longomontanus over that problem of the squaring of the circle which was seen later on to have such a fatal charm for himself.
The reason for publishing these two tracts in his Optics, from the subsequent editions of which they were omitted, is thus stated in the advertisement: " In a letter written to M Leibnitz in the year 1679, and published by Dr Wallis, I mentioned a method by which I had found some general theorems about squaring curvilinear figures on comparing them with the conic sections, or other the simplest figures with which they might be compared.
If you plan on moving anytime in the next five years, think about squaring away the logistics of certification.
Preschoolers are not the only ones who enjoy squaring off against their friends.
Simply place your hands on your hips, lifting up your torso and squaring your shoulders.
The Pythagorean discovery of "squaring a square," i.e.
The history of these attempts, together with modern contributions to our knowledge of the value and nature of the number 7r, is given below (Squaring of the Circle).
The problem of finding a square equal in area to a given circle, like all problems, may be increased in difficulty by the imposition of restrictions; consequently under the designation there may be embraced quite a variety of geometrical problems. It has to be noted, however, that, when the " squaring " of the circle is especially spoken of, it is almost always tacitly assumed that the restrictions are those of the Euclidean geometry.
In a small commonplace book, bearing on the seventh page the date of January 1663/1664, there are several articles on angular sections, and the squaring of curves and " crooked lines that may be squared," several calculations about musical notes, geometrical propositions from Francis Vieta and Frans van Schooten, annotations out of Wallis's Arithmetic of Infinities, together with observations on refraction, on the grinding of " spherical optic glasses," on the errors of lenses and the method of rectifying them, and on the extraction of all kinds of roots, particularly those " in affected powers."
The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.