Graphical CalculusLongmans, Green, and Company, 1902 - 195 páginas |
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Página 20
... Consider a fixed point P and a movable point Q1 on a continuous curve of any shape . Join PQ1 , and produce it in both directions . Conceive that Q , with the line PQ always passing through it , moves gradually towards P , occu- pying ...
... Consider a fixed point P and a movable point Q1 on a continuous curve of any shape . Join PQ1 , and produce it in both directions . Conceive that Q , with the line PQ always passing through it , moves gradually towards P , occu- pying ...
Página 25
... 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 we should ...
... 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 we should ...
Página 41
... consider what expression will give 3x2 when differentiating with respect to independent variable . ( The student will understand the last expression better after reading the next chapter . ) Consider what is the rule just proved ( § 17 ) ...
... consider what expression will give 3x2 when differentiating with respect to independent variable . ( The student will understand the last expression better after reading the next chapter . ) Consider what is the rule just proved ( § 17 ) ...
Página 68
... consider an example of the application of this principle . Given that at the present time the total number of poor - houses in the country is 7251 , and the average number of paupers in each 112 , the rate of increase in the number of ...
... consider an example of the application of this principle . Given that at the present time the total number of poor - houses in the country is 7251 , and the average number of paupers in each 112 , the rate of increase in the number of ...
Página 82
... Consider the angle AOP , as being " generated " by the line OP , turning round O in the " counter - clockwise " direc- tion . As a increases in value , cos x or OM decreases , i.e. the increment of cos x ( corresponding to a positive ...
... Consider the angle AOP , as being " generated " by the line OP , turning round O in the " counter - clockwise " direc- tion . As a increases in value , cos x or OM decreases , i.e. the increment of cos x ( corresponding to a positive ...
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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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