Graphical CalculusLongmans, Green, and Company, 1902 - 195 páginas |
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Página 15
... constant . Hence PB must be perfectly straight as far as B. A question that meets us at the outset is a very suggestive one . Where are we to start to draw the curve ? The bearing of this question on the subject of integration will be ...
... constant . Hence PB must be perfectly straight as far as B. A question that meets us at the outset is a very suggestive one . Where are we to start to draw the curve ? The bearing of this question on the subject of integration will be ...
Página 16
... Constant " in Integration.- If we had taken any other point , P1 , as starting - point in the same vertical line , we should have obtained the dotted curve which is precisely similar to the one we have obtained , but shifted higher or ...
... Constant " in Integration.- If we had taken any other point , P1 , as starting - point in the same vertical line , we should have obtained the dotted curve which is precisely similar to the one we have obtained , but shifted higher or ...
Página 25
... Constant " ) . R The next question is as to how we are to obtain the form of the curve between two ordinates . This we shall decide as follows . Any two neighbouring ordinates will be assumed so close together that the part of the curve ...
... Constant " ) . R The next question is as to how we are to obtain the form of the curve between two ordinates . This we shall decide as follows . Any two neighbouring ordinates will be assumed so close together that the part of the curve ...
Página 27
... a height MP . This would indicate that the rate of rise = FIG . 15 . of temperature was constant all along the curve . yards per second yards Although the actual curve was not Graphical Differentiation and Integration . 27.
... a height MP . This would indicate that the rate of rise = FIG . 15 . of temperature was constant all along the curve . yards per second yards Although the actual curve was not Graphical Differentiation and Integration . 27.
Página 29
... constant or uniform , as in the case of a falling body . Thus we see that velocity = time rate of change of distance , acceleration = time rate of change of velocity , etc. The student should think very carefully over this argu- ment ...
... constant or uniform , as in the case of a falling body . Thus we see that velocity = time rate of change of distance , acceleration = time rate of change of velocity , etc. The student should think very carefully over this argu- ment ...
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abscissa acceleration algebraical angle of slope axis B.Sc BOTANY brackets calculated CHEMISTRY clear College constant corresponding ordinates crank-pin Crown 8vo D.Sc derived curve Diagrams differential calculus differential coefficient distance Draw dx dy dy and dx dy dx ELEMENTARY ENGINEERING equation exactly example explained expression feet function geometrical given graphically height Hence horizontal Hospital Illus Illustrations increment independent variable inertia integrated curve JOHN GOODMAN Lecturer length LL.D logarithms Lond London lower curve meaning method moment of inertia multiply obtain original curve PHYSIOLOGY piston Plates plotted position PRACTICAL principle Professor quantity R. A. PROCTOR radians radius rate of increase ratio rectangle represents respect result Royal 8vo scale Science shown square inches straight line STRENGTH OF MATERIALS student Suppose tangent temperature TEXT-BOOK tions upper curve velocity vertical Woodcuts аф
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