Graphical CalculusLongmans, Green, and Company, 1902 - 195 páginas |
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Página 20
... infinitely near " to P ) , the line PQ is a tangent to the curve at P. In this position the infinitely small portion ... infinite number of indefinitely short straight lines joined end to end . Bearing this explana- tion in mind when we ...
... infinitely near " to P ) , the line PQ is a tangent to the curve at P. In this position the infinitely small portion ... infinite number of indefinitely short straight lines joined end to end . Bearing this explana- tion in mind when we ...
Página 21
... smaller than this - smaller , indeed , than anything that can be named . The same idea is contained in the words " infinitely small . " In the same way , " infinitely great " means some . thing greater than anything . " " Absolute ...
... smaller than this - smaller , indeed , than anything that can be named . The same idea is contained in the words " infinitely small . " In the same way , " infinitely great " means some . thing greater than anything . " " Absolute ...
Página 22
... infinitely small , so small that pb contains an in- finitely great number of small parts , each pq . This will not in the least alter the total value of the left - hand side of equation ( a ) , for this must of necessity be = CB . But ...
... infinitely small , so small that pb contains an in- finitely great number of small parts , each pq . This will not in the least alter the total value of the left - hand side of equation ( a ) , for this must of necessity be = CB . But ...
Página 23
... infinitely small , ' Here , then , we have a most convenient way of measuring any irregular area with a curvilinear outline . Suppose , for instance , it is required to find the area of the lower figure between any two ordinates , we ...
... infinitely small , ' Here , then , we have a most convenient way of measuring any irregular area with a curvilinear outline . Suppose , for instance , it is required to find the area of the lower figure between any two ordinates , we ...
Página 31
... infinitely small . Now , if PM is a considerable size , the value of MQ PM ' viz . the tangent of the angle of slope of PQ , will differ considerably from the 1 See note ( 5 ) , p . 194 . 2 Fig . 18 is not drawn to scale . tangent of ...
... infinitely small . Now , if PM is a considerable size , the value of MQ PM ' viz . the tangent of the angle of slope of PQ , will differ considerably from the 1 See note ( 5 ) , p . 194 . 2 Fig . 18 is not drawn to scale . tangent of ...
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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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