Graphical CalculusLongmans, Green, and Company, 1902 - 195 páginas |
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Página 13
... shown by the obvious slope of the board . If the line is level , or of no slope , it might in the same way be indicated o in 100 , but the word " level " is used instead . FIG . 8 . Now , we may very conveniently draw underneath the ...
... shown by the obvious slope of the board . If the line is level , or of no slope , it might in the same way be indicated o in 100 , but the word " level " is used instead . FIG . 8 . Now , we may very conveniently draw underneath the ...
Página 24
... slope of required curve at the point where continuation of that ordinate cuts it . Draw a number of continued ordinates , say " apart , and figure them as shown . Set off on the axis of X , OS = 24 Graphical Calculus ..
... slope of required curve at the point where continuation of that ordinate cuts it . Draw a number of continued ordinates , say " apart , and figure them as shown . Set off on the axis of X , OS = 24 Graphical Calculus ..
Página 25
... shown . Now consider any one of these ordinates , say 3. If we had had the upper curve given , and had been required to deduce the height of the lower on the ordinate 3 by the process explained in § 9 , it is evident that the triangle ...
... shown . Now consider any one of these ordinates , say 3. If we had had the upper curve given , and had been required to deduce the height of the lower on the ordinate 3 by the process explained in § 9 , it is evident that the triangle ...
Página 31
... shown , in the last chapter , the geometrical meaning of the processes of differentiation and integration . proceed to explain the system of symbols that accompanies it . Suppose we are required to find the height of the derived curve ...
... shown , in the last chapter , the geometrical meaning of the processes of differentiation and integration . proceed to explain the system of symbols that accompanies it . Suppose we are required to find the height of the derived curve ...
Página 34
... shown above . If he does it thoughtfully , he will probably be able to see the reason of it . The algebraical process corresponding to that explained above is as follows- Let y = x2 · Let x increase by Ax , and in consequence y by Ay ...
... shown above . If he does it thoughtfully , he will probably be able to see the reason of it . The algebraical process corresponding to that explained above is as follows- Let y = x2 · Let x increase by Ax , and in consequence y by Ay ...
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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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