The Calculus for Engineers and Physicists: Integration and Differentiation, with Applications to Technical Problems ; with Classified Reference Tables of Integrals and Methods of IntegrationGriffin, 1897 - 176 Seiten |
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Seite 20
... values of their co - ordinates , and then it is customary to indicate the limits of integration by writing at top ... limiting values of x by the letter - names a and b , then the same would appear as X.- ' x'd X - Xa = α X'dx . Or , if ...
... values of their co - ordinates , and then it is customary to indicate the limits of integration by writing at top ... limiting values of x by the letter - names a and b , then the same would appear as X.- ' x'd X - Xa = α X'dx . Or , if ...
Seite 22
... limiting values of x . Here , again , an error would be made if , instead of taking the mean value of X ' for each length dx , there were taken either its value at the beginning of dx or that at the end of dx . If for each Sx the value ...
... limiting values of x . Here , again , an error would be made if , instead of taking the mean value of X ' for each length dx , there were taken either its value at the beginning of dx or that at the end of dx . If for each Sx the value ...
Seite 24
... limit being any final value of the gradually increasing . The lower limit may be written without defining the upper limit . Thus „ X'de means ( X - X . ) . If various upper limiting values of x be successively taken , the part of the ...
... limit being any final value of the gradually increasing . The lower limit may be written without defining the upper limit . Thus „ X'de means ( X - X . ) . If various upper limiting values of x be successively taken , the part of the ...
Seite 25
... values of X being the same in both cases , it is clear that C equals ( -Xa ) . The integration constant , therefore ... limiting values of x in P " Q " R " greater by n than those in PQR . These upward and right - hand horizontal ...
... values of X being the same in both cases , it is clear that C equals ( -Xa ) . The integration constant , therefore ... limiting values of x in P " Q " R " greater by n than those in PQR . These upward and right - hand horizontal ...
Seite 26
... values of X ' , and thus the same value of the integral X'dx when the co - ordinates are measured from one set of axes as when they are measured from the other , both upper and lower limiting values of x must be greater by n when ...
... values of X ' , and thus the same value of the integral X'dx when the co - ordinates are measured from one set of axes as when they are measured from the other , both upper and lower limiting values of x must be greater by n when ...
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angle arc length area swept ax² axes axis base bending moment C₂ called centre circular circular sector Classified List co-ordinates cosine curve definite diagram differential coefficient differential equation double integration dX dx EDITION Engineers equal EXETER STREET factor foot length formula function given gives gradient graphic representation height hyperbolic functions Illustrations increase increment indefinite integral independent variables integration constant inverse latitude limiting values load logarithms lower limit maximum mean measured method multiplied negative positive integer practical Prof q)dx quantity radius ratio rectangular result scale second gradient sectorial slope solution sphere spherical surface spherical volume strip subtangent symbol t₁ t₂ taken tangent tion triangular areas upper velocity whole written x-gradient X'dx x₁ zero
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Seite 155 - Places Decimals for every Minute of Angle up to 100 of Distance. For the use of Surveyors and Engineers.
Seite 6 - Prof. SMITH'S CONVERSION-TABLES form the most unique and comprehensive collection ever placed before the profession. By their use much time and labour will be saved, and the chances of error in calculation diminished.
Seite 176 - Typical Metallurgical Processes.— The Micro-Structure of Metals and Alloys. — Economic Considerations. " No English text-book at all approaches this in the COMPLETENESS with which the most modern views on the subject are dealt with. Professor Austen's volume will be INVALUABLE, not only to the student, but also to those whose knowledge of the art is far advanced.
Seite 9 - The little book will be found EXCEEDINGLY HANDY by most officers and officials connected with shipping. . . . Mr. Walton's work will obtain LASTING SUCCESS, because of its unique fitness for those for whom it has been written." — Shipping World. ' ' An EXCELLENT WORK, full of solid instruction and INVALUAELE to every officer of the Mercantile Marine who has his profession at heart.
Seite 152 - There is no question that, given the PERFECT GROUNDING of the Student in his Science, the remainder comes afterwards to him in a manner much more simple and easily acquired. The work is AN EXAMPLE OP THE ADVANTAGES OF THE SYSTEMATIC TREATMENT of a Science over the fragmentary style so generally followed. BY A LONG WAY THE BEST of the small Manuals for Students.
Seite 2 - Adapted for all who are interested in the Gold Mining Industry, being free from technicalities as far as possible, but is more particularly of value to those engaged in the Industry."— Cape Timet.
Seite 145 - Barrister-at-Law, Public Analyst for the County of Devon, and Medical Officer of Health for St. Marylebone. AND M. WYNTER BLYTH, BA, B.Sc., FCS GENERAL CONTENTS. — History of Adulteration. — Legislation. — Apparatus. —
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Seite 146 - Late Fellow of Trinity College, Cambridge. THE STUDENT'S MECHANICS: An Introduction to the Study of Force and Motion. With Diagrams. Crown 8vo. Cloth, 45. 6d. " Clear in style and practical in method, 'THE STUDENT'S MECHANICS' is cordially to b» recommended from all points of view.
Seite 163 - A MANUAL OF DYEING; fOR THE USE OF PRACTICAL DYERS, MANUFACTURERS, STUDENTS, AND ALL INTERESTED IN THE ART OF DYEING.