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 28
... radius of the circle . Its base is , in a minute degree , longer than the arc , but equals the arc in length with an approximation which is closer as the vertical angle at O be- comes smaller . Taking Sp , the peri- pheral arc length ...
... radius of the circle . Its base is , in a minute degree , longer than the arc , but equals the arc in length with an approximation which is closer as the vertical angle at O be- comes smaller . Taking Sp , the peri- pheral arc length ...
Seite 29
... radius from which the expan- sion begins be called r1 : the area inside this initial circumference is r2 . At any stage of the expansion when the radius has become any size » , the area swept through has been ( π2 — π12 ) . This is the ...
... radius from which the expan- sion begins be called r1 : the area inside this initial circumference is r2 . At any stage of the expansion when the radius has become any size » , the area swept through has been ( π2 — π12 ) . This is the ...
Seite 34
... radius of the sphere . This is true whatever be the shape of the cross section of the cone . Now the whole volume of the sphere is made up of a very large number of such small - angled cones with spherical bases , these cones fitting ...
... radius of the sphere . This is true whatever be the shape of the cross section of the cone . Now the whole volume of the sphere is made up of a very large number of such small - angled cones with spherical bases , these cones fitting ...
Seite 35
... radius be r1 at one stage of the expansion , and r at another , the volume swept through between these two stages is ( r ) . During any small increase of size dr from the radius ( r - 1 dr ) to ( r + 18 ) , the volume swept out is the ...
... radius be r1 at one stage of the expansion , and r at another , the volume swept through between these two stages is ( r ) . During any small increase of size dr from the radius ( r - 1 dr ) to ( r + 18 ) , the volume swept out is the ...
Seite 37
... radius of a circle ; but if the radius be taken as unity , as in fig . 13 , then these ratios are properly re- presented by lengths of lines , this graphic representation being to an artificial scale just as to other artificial scales ...
... radius of a circle ; but if the radius be taken as unity , as in fig . 13 , then these ratios are properly re- presented by lengths of lines , this graphic representation being to an artificial scale just as to other artificial scales ...
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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.
Seite 17 - 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 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. —
Seite 174 - No SHIPS' OFFICERS' BOOKCASE will henceforth be complete without CAPTAIN MACKENZIE'S ' PRACTICAL MECHANICS.' Notwithstanding my many years...
Seite 154 - 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 171 - A MANUAL OF DYEING; fOR THE USE OF PRACTICAL DYERS, MANUFACTURERS, STUDENTS, AND ALL INTERESTED IN THE ART OF DYEING.