Book Description
This book reviews the history and historiography of metalpoint and its use for drawing and writing. ,
Author : Thea Burns
Publisher :
Page : 0 pages
File Size : 35,36 MB
Release : 2012
Category : Art
ISBN : 9781904982838
This book reviews the history and historiography of metalpoint and its use for drawing and writing. ,
Author : Thomas P. Clark
Publisher :
Page : 34 pages
File Size : 50,24 MB
Release : 1951
Category : Flame
ISBN :
A photographic method is presented for determining the absolute distribution in the reaction zone of a flame of luminous diatomic free radicals such as carbon C2. The absolute distribution and the thickness of the luminous reaction zone for the C2 radical were determined.
Author : Adolphe Ganot
Publisher :
Page : 914 pages
File Size : 38,23 MB
Release : 1870
Category : Physics
ISBN :
Author : John H. A. M'Intyre
Publisher :
Page : 60 pages
File Size : 18,40 MB
Release : 1901
Category : Drawing
ISBN :
Author : Royal Society of South Australia
Publisher :
Page : 1794 pages
File Size : 34,54 MB
Release : 1915
Category : Science
ISBN :
Author : William Newton
Publisher :
Page : 526 pages
File Size : 22,90 MB
Release : 1847
Category :
ISBN :
Author :
Publisher :
Page : 550 pages
File Size : 47,36 MB
Release : 1847
Category : Technology
ISBN :
Author :
Publisher :
Page : 884 pages
File Size : 18,11 MB
Release : 1825
Category : Science
ISBN :
Author :
Publisher :
Page : 444 pages
File Size : 48,1 MB
Release : 1825
Category :
ISBN :
Author : David S. Richeson
Publisher : Princeton University Press
Page : 450 pages
File Size : 38,93 MB
Release : 2019-10-08
Category : Mathematics
ISBN : 0691192960
A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.