A Collection Of Examples In Pure And Mixed Mathematics With Hints And Answers By A Wrigley And W H Johnstone By A Wrigley

Author by : Alfred Wrigley
Languange : en
Publisher by : Palala Press
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Description : This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


A Collection Of Examples In Pure And Mixed Mathematics With Hints And Answers By A Wrigley And W H Johnstone

Author by : Alfred Wrigley
Languange : en
Publisher by : Rarebooksclub.com
Format Available : PDF, ePub, Mobi
Total Read : 94
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Description : This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1845 edition. Excerpt: ...powers of sin 9 and cos 0. 242. Find tan 3 0, and tan 8 0 in terms of the powers of tan 0. From the exponential expressions for sin 0 and cos 0, ob-tain the following formulae: --2tan0 ANALYTICAL GEOMETRY OF TWO DIMENSIONS. APPLICATION OF ALGEBRA TO GEOMETRY. 1. To describe a square in a given triangle. 2. Given the hypothenuse of a right-angled triangle, and the side of an inscribed square: required the two sides of the triangle, (1) when the given side coincides with the hypothenuse, and (2) when it does not so coincide. 3. In a given square to inscribe another square having its side equal to a given straight line. To what limitation is this line subject? 4. To find a triangle such that its sides and a perpendicular on one of them from the opposite angle are in continued geometrical progression. 5. Through a point M equidistant from two straight lines AA', BB' at right angles to each other, to draw a straight line PMQ, so that the sum of the squares upon PM and MQ shall be equal to the square upon a given line b. 6. To inscribe a semicircle in a quadrant. 7. To inscribe a circle in a given sector of a circle. 8. If a, b, c be the chords of three adjacent arcs of a circle whose sum equals the semicircumference, of which x is the radius, then will 4r'--(a1 + b1 + c1)x--abc= 0. 9. Given the three perpendiculars from the angles of a triangle upon the opposite sides; to find the area and the sides of the triangle. 10. Given the chords of two arcs of a given circle; to find the chord of their sum, and the chord of their difference. 11. Having given the lengths of two chords which intersect at right angles, and the distance of their point of intersection from the centre; to find the diameter of the circle. 12. If r be the radius of a circle...


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Author by : J. and J.J. Deighton
Languange : en
Publisher by : Unknown
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A Treatise On The Differential Calculus

Author by : William WALTON (M.A., of Trinity College, Cambridge.)
Languange : en
Publisher by : Unknown
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The Cambridge University Calendar

Author by : University of Cambridge
Languange : en
Publisher by : Unknown
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Mathematics In Victorian Britain

Author by : photographer and broadcaster Foreword by Dr Adam Hart-Davis
Languange : en
Publisher by : OUP Oxford
Format Available : PDF, ePub, Mobi
Total Read : 14
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Description : During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention. That spirit of creativity and ingenuity was reflected in the massive expansion in scope and complexity of many scientific disciplines during this time, with subjects evolving rapidly and the creation of many new disciplines. The subject of mathematics was no exception and many of the advances made by mathematicians during the Victorian period are still familiar today; matrices, vectors, Boolean algebra, histograms, and standard deviation were just some of the innovations pioneered by these mathematicians. This book constitutes perhaps the first general survey of the mathematics of the Victorian period. It assembles in a single source research on the history of Victorian mathematics that would otherwise be out of the reach of the general reader. It charts the growth and institutional development of mathematics as a profession through the course of the 19th century in England, Scotland, Ireland, and across the British Empire. It then focuses on developments in specific mathematical areas, with chapters ranging from developments in pure mathematical topics (such as geometry, algebra, and logic) to Victorian work in the applied side of the subject (including statistics, calculating machines, and astronomy). Along the way, we encounter a host of mathematical scholars, some very well known (such as Charles Babbage, James Clerk Maxwell, Florence Nightingale, and Lewis Carroll), others largely forgotten, but who all contributed to the development of Victorian mathematics.


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Author by : University of Cambridge
Languange : en
Publisher by : Unknown
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Leuvense Bijdragen

Author by : Anonim
Languange : nl
Publisher by : Unknown
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