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 ix
... Centre of Area of Circular Zone , 119. ( 2 + 2 ) -1 Integrated , 62 · 121. Hyperbolic Functions and their Integrals , • * 188 ***** * 65 66 67 67 68 68 69 69 70 120. ( r2x2 ) -1 Integrated , 122. Change Variable , of Derivative 123 ...
... Centre of Area of Circular Zone , 119. ( 2 + 2 ) -1 Integrated , 62 · 121. Hyperbolic Functions and their Integrals , • * 188 ***** * 65 66 67 67 68 68 69 69 70 120. ( r2x2 ) -1 Integrated , 122. Change Variable , of Derivative 123 ...
Seite 27
... centre of the girder length ; and , if this centre be chosen as the origin from which to measure the x's , equal deflections will be found for equal + and values of x , and this condition , if applied , will be sufficient to determine ...
... centre of the girder length ; and , if this centre be chosen as the origin from which to measure the x's , equal deflections will be found for equal + and values of x , and this condition , if applied , will be sufficient to determine ...
Seite 28
... centre of a circle , and whose correspond- ingly small base is a very short tangent to the arc of the circle . The height of this triangle is r , the radius of the circle . Its base is , in a minute degree , longer than the arc , but ...
... centre of a circle , and whose correspond- ingly small base is a very short tangent to the arc of the circle . The height of this triangle is r , the radius of the circle . Its base is , in a minute degree , longer than the arc , but ...
Seite 29
... centre O. The integral is the gradually increasing area so swept out . The increment , or differential of this area , is r.dp. Thus is the differential coefficient of the area with respect to p ; orr is the p - gradient of the area ...
... centre O. The integral is the gradually increasing area so swept out . The increment , or differential of this area , is r.dp. Thus is the differential coefficient of the area with respect to p ; orr is the p - gradient of the area ...
Seite 34
... centre of the sphere , and with a very small spherical base nearly coinciding with the flat surface of small area touching the sphere . The volume of the small cone with the flat base is known to be the product of its base area by its ...
... centre of the sphere , and with a very small spherical base nearly coinciding with the flat surface of small area touching the sphere . The volume of the small cone with the flat base is known to be the product of its base area by its ...
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Häufige Begriffe und Wortgruppen
algebraic angle arc length area swept ax² axis base bending moment calculated called central moment centre Classified List co-ordinates cosine curve definite diagram differential coefficient differential equation double integration dx dX EDITION Engineer equal EXETER STREET factor formula function given gives gradient graphic representation height horizontal projection hyperbolic functions Illustrations increase increment indefinite integral independent variables integration constant inverse latitude length load logarithms lower limit MAXIMA AND MINIMA maximum mean measured method multiplied negative obtained ordinates positive integer practical Prof quantity radius ratio rectangular reduced result scale second gradient sines and cosines slope solution spherical surface strip subtangent symbol t₁ TABLE OF INTEGRALS taken tangent trigonometrical vertical volume whole written x-gradient X'dx x₁ zero
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Seite 163 - Places Decimals for every Minute of Angle up to 100 of Distance. For the use of Surveyors and Engineers.
Seite 14 - 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 8 - 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.
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Seite 160 - 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 10 - 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.
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Seite 171 - A MANUAL OF DYEING; fOR THE USE OF PRACTICAL DYERS, MANUFACTURERS, STUDENTS, AND ALL INTERESTED IN THE ART OF DYEING.