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 19
... multiplied by the horizontal projection of the length of step . In stepping continuously from one particular point on the section to another , for instance , from A to C on fig . 1 , the total horizontal distance between the two is the ...
... multiplied by the horizontal projection of the length of step . In stepping continuously from one particular point on the section to another , for instance , from A to C on fig . 1 , the total horizontal distance between the two is the ...
Seite 30
... to k multiplied by the length of horizontal movement . At any stage x of the movement the area swept out * See Classified List , III . A. 2 . is k ( x - x1 ) . Here the 30 THE CALCULUS FOR ENGINEERS . Rectangular Area,
... to k multiplied by the length of horizontal movement . At any stage x of the movement the area swept out * See Classified List , III . A. 2 . is k ( x - x1 ) . Here the 30 THE CALCULUS FOR ENGINEERS . Rectangular Area,
Seite 33
... multiplied by mg , we get again the increase of kinetic energy as shown above in § 66 ; so that the increase of kinetic energy equals the uniform acceleration of momentum ( mg ) multi- plied by the distance travelled . 69. Bending ...
... multiplied by mg , we get again the increase of kinetic energy as shown above in § 66 ; so that the increase of kinetic energy equals the uniform acceleration of momentum ( mg ) multi- plied by the distance travelled . 69. Bending ...
Seite 34
... multiplied by the distance of the middle of the same length from the given section . It must be noted that this is the moment exerted by the load alone independently of that exerted by the forces supporting the beam . 70. Volume of ...
... multiplied by the distance of the middle of the same length from the given section . It must be noted that this is the moment exerted by the load alone independently of that exerted by the forces supporting the beam . 70. Volume of ...
Seite 35
... multiplied by the mean area of the spherical surface during the motion , viz . , 42. That is , the increment of volume is 4πr2Sr . The definite integral of this is , as above stated , [ for ] ] , and the indefinite integral for an ...
... multiplied by the mean area of the spherical surface during the motion , viz . , 42. That is , the increment of volume is 4πr2Sr . The definite integral of this is , as above stated , [ for ] ] , and the indefinite integral for an ...
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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.
Seite 153 - 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 171 - A MANUAL OF DYEING; fOR THE USE OF PRACTICAL DYERS, MANUFACTURERS, STUDENTS, AND ALL INTERESTED IN THE ART OF DYEING.