Author : James Smith
Publisher :
Page : 16 pages
File Size : 20,13 MB
Release : 1860
Category :
ISBN :
On the Quadrature of the Circle
James Smith
[PDF] On The Quadrature Of The Circle eBook
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The Quadrature of the Circle
John A. Parker
Author : John A. Parker
Publisher :
Page : 222 pages
File Size : 28,79 MB
Release : 1851
Category : Circle-squaring
ISBN :
Quadrature of the Circle
John Parker
Author : John Parker
Publisher : BoD – Books on Demand
Page : 334 pages
File Size : 24,95 MB
Release : 2023-12-31
Category : Fiction
ISBN : 3368848518
Reprint of the original, first published in 1874.
A Tract on the Quadrature of the Circle, Wherein a Certain Segment of the Circle is Demonstrated to be Equal to the Square of the Radius
Joseph Unwin
Author : Joseph Unwin
Publisher :
Page : 60 pages
File Size : 23,94 MB
Release : 1826
Category : Circle-squaring
ISBN :
The Quadrature and Geometry of the Circle Demonstrated
James Smith
Author : James Smith
Publisher :
Page : 330 pages
File Size : 41,76 MB
Release : 1872
Category : Circle-squaring
ISBN :
The Quadrature of the Circle
William Alexander Myers
Author : William Alexander Myers
Publisher :
Page : 238 pages
File Size : 25,35 MB
Release : 1873
Category : Circle-squaring
ISBN :
Quadrature of the Circle
Edward Thornton (of Brighton.)
Author : Edward Thornton (of Brighton.)
Publisher :
Page : 16 pages
File Size : 13,32 MB
Release : 1868
Category : Circle-squaring
ISBN :
The Impossibility of Squaring the Circle in the 17th Century
Davide Crippa
Author : Davide Crippa
Publisher : Springer
Page : 184 pages
File Size : 33,61 MB
Release : 2019-03-06
Category : Mathematics
ISBN : 3030016382
This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
The Quadrature of the Circle Perfected, Or the Circle Squared
Cyrus Pitt GROSVENOR
Author : Cyrus Pitt GROSVENOR
Publisher :
Page : 10 pages
File Size : 46,19 MB
Release : 1868
Category :
ISBN :
Squaring the Circle
Ernest William Hobson
Author : Ernest William Hobson
Publisher :
Page : 416 pages
File Size : 43,54 MB
Release : 1953
Category : Mathematics
ISBN :