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Author : Peter Fleming
Publisher : Unknown
Page : 58 pages
File Size : 47,7 Mb
Release : 1851
Category : Circle-squaring
ISBN : CHI:086591704
Author : James W. Cannon
Publisher : American Mathematical Soc.
Page : 119 pages
File Size : 54,5 Mb
Release : 2017-11-16
Category : Geometry
ISBN : 9781470437145
This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology. The first volume begins with length measurement as dominated by the Pythagorean Theorem (three proofs) with application to number theory; areas measured by slicing and scaling, where Archimedes uses the physical weights and balances to calculate spherical volume and is led to the invention of calculus; areas by cut and paste, leading to the Bolyai-Gerwien theorem on squaring polygons; areas by counting, leading to the theory of continued fractions, the efficient rational approximation of real numbers, and Minkowski's theorem on convex bodies; straight-edge and compass constructions, giving complete proofs, including the transcendence of and , of the impossibility of squaring the circle, duplicating the cube, and trisecting the angle; and finally to a construction of the Hausdorff-Banach-Tarski paradox that shows some spherical sets are too complicated and cloudy to admit a well-defined notion of area.
Author : Thomas CROGER
Publisher : Unknown
Page : 16 pages
File Size : 55,6 Mb
Release : 1853
Category : Electronic
ISBN : BL:A0023341928
Author : Jens Høyrup
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 50,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475736854
In this examination of the Babylonian cuneiform "algebra" texts, based on a detailed investigation of the terminology and discursive organization of the texts, Jens Høyrup proposes that the traditional interpretation must be rejected. The texts turn out to speak not of pure numbers, but of the dimensions and areas of rectangles and other measurable geometrical magnitudes, often serving as representatives of other magnitudes (prices, workdays, etc...), much as pure numbers represent concrete magnitudes in modern applied algebra. Moreover, the geometrical procedures are seen to be reasoned to the same extent as the solutions of modern equation algebra, though not built on any explicit deductive structure.
Author : United States. Congress. House. Committee on Interstate and Foreign Commerce
Publisher : Unknown
Page : 1124 pages
File Size : 44,9 Mb
Release : 1938
Category : Railroad trains
ISBN : STANFORD:36105117923321
Author : E. M. Schenke,Charles Warren Schoffstall
Publisher : Unknown
Page : 16 pages
File Size : 41,9 Mb
Release : 1926
Category : Hosiery
ISBN : UOM:39015086552554
Author : Joseph Wolstenholme
Publisher : Unknown
Page : 86 pages
File Size : 49,5 Mb
Release : 1888
Category : Logarithms
ISBN : NYPL:33433069105249
Author : Anonim
Publisher : CUP Archive
Page : 248 pages
File Size : 45,9 Mb
Release : 2024-06-02
Category : Electronic
ISBN : 8210379456XXX
Author : Scott Wike Hazen (Jr.),George W. Gladfelter
Publisher : Unknown
Page : 32 pages
File Size : 44,8 Mb
Release : 1964
Category : Assaying
ISBN : UOM:39015078479030
Author : S. E. Taggart
Publisher : Unknown
Page : 32 pages
File Size : 52,7 Mb
Release : 1947
Category : Electronic
ISBN : PSU:000072082553
Author : George J. Heimerl,J. Albert Roy
Publisher : Unknown
Page : 26 pages
File Size : 42,9 Mb
Release : 1944
Category : Aerodynamics
ISBN : UFL:31262081065129
Summary: Local-instability tests of 24S-T aluminum-alloy formed Z- and channel-section columns were made in order to determine a length of test specimen that would avoid the increased strength associated with short lengths and also permit the occurrence of a convenient buckling pattern. The effect of column length on the critical compressive stress, on the average stress at maximum load, and on the number of half-waves of the buckling pattern is shown. A buckling pattern of three half-waves is indicated as desirable for test purposes. A curve is presented from which may be determined the lengths of Z- or channel-section columns that give a buckling pattern of three half-waves. When the strength for local instability is very high, a reduction in the length indicated by the curve may be necessary to prevent column failure. In order to avoid the increased strength associated with short lengths, a ratio of length to web width above 3.5 should be used.
Author : Leisel Jones
Publisher : Black Inc.
Page : 288 pages
File Size : 48,6 Mb
Release : 2017-04-03
Category : Sports & Recreation
ISBN : 9781925203479
From the moment I am born, I am like no-one else around me. I am a fish out of water. Even in the pool. Leisel Jones is rightly regarded as one of the greatest breaststrokers ever. At just fifteen, she won two silver medals at the Sydney Olympic Games in 2000; she went on to win gold at Athens and Beijing, and at London 2012 became the first Australian swimmer to compete at four Olympics. For the first time, Leisel candidly describes what it’s like to be thrust into the limelight so young. She reveals the constant pressure she was under – from coaches, from the media and from herself – to be perfect. Despite the highs of her swimming stardom, she suffered depression, and at one time planned to take her own life. In London, criticised in the media for her weight, and appalled by the bullying and dysfunction in the Australian swim team, Leisel nevertheless handled herself with great composure. She has emerged with maturity and good humour, having finally learnt how to be herself and live with confidence. Body Lengths is the inspiring story of an Australian sporting hero, told with humour, optimism and style. Longlisted, 2016 Australian Book Industry Awards ‘There were times when it wasn’t easy for Leisel, but she came through as one of the greatest swimmers of all time.’ —Ray Warren ‘Swimming, success and sadness - all wrapped up in the bio of one of our greatest athletes.’ —Cosmopolitan ‘Gripping, confronting and important, Body Lengths is a masterfully told story that will leave you with a disturbing new look at elite sport and at life. If you are not afraid of dark places – of seeing the flaws that exist in us all – you won’t be able to put the book down.’ —Crossing the Line ‘Gold, silver and blues’ —Herald Sun ‘Many autobiographies claim to be no holds barred, but we’re pressed to think of many that are as searingly honest as Leisel Jones’ account of her struggles with isolation and suicidal anguish. One of Australia’s greatest Olympic swimmers is known to the world for her sunny public persona and athletic grit, but outside of the pool and limelight, her path hasn’t been easy. Body Lengths exposes some of the darker aspects of competitive sport, but what stuck with us was Jones’ courage to speak her truth – as well as her disarming humility and passion.’ —iBooks, Best Books of October ‘A compelling and thought-provoking story, Leisel’s honesty is remarkably heroic and poignant.’ —Layne Beachley AO ‘Lethal Leisel was an incredible role model and an inspiration for my generation. She epitomises the Olympic dream!’ —Sally Fitzgibbons ‘Leisel gives a fascinating and candid account of her time as an elite swimmer and what it was like to be thrust into the limelight at such a young age She writes engagingly of the personal high and low points, the relationships and friendships, and the huge demands of maintaining her fitness and training over the years.’ —The City Leisel Jones retired from swimming in 2012 as the winner of three Olympic gold medals, and many Commonwealth and world championship medals. She was a commentator at the 2014 Commonwealth Games, and in 2015 was inducted into the Sports Hall of Fame. Felicity McLean is the author of several books. She has written for the Daily Telegraph, the Courier Mail, the Big Issue and more.
Author : F. E. Lux,F. E. Nichy
Publisher : Unknown
Page : 24 pages
File Size : 42,8 Mb
Release : 1971
Category : Fishes
ISBN : UOM:39015086536326
Author : United States. Congress. Senate. Committee on Commerce, Science, and Transportation
Publisher : Unknown
Page : 192 pages
File Size : 42,5 Mb
Release : 1978
Category : Tractor trailer combinations
ISBN : UOM:39015077914284
Author : Homer Charles McNamara,Robert Theodore Stutts
Publisher : Unknown
Page : 20 pages
File Size : 52,7 Mb
Release : 1935
Category : Cotton
ISBN : UIUC:30112019270815