Graphical CalculusLongmans, Green, and Company, 1902 - 195 páginas |
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Página vii
... elements of the subject . Some of those who know my propensity to scoff at the mathematics so commonly drummed into technical students , may , on seeing this introduction , exclaim , " Is Saul also among the prophets ? " To such I would ...
... elements of the subject . Some of those who know my propensity to scoff at the mathematics so commonly drummed into technical students , may , on seeing this introduction , exclaim , " Is Saul also among the prophets ? " To such I would ...
Página 28
... element " of curve at the point P is also part of the tangent to the curve ( § 11 ) , and the rate of increase is therefore the same as the rate of increase along the tangent , i.e. height of derived curve at the point . = § 16. OTHER ...
... element " of curve at the point P is also part of the tangent to the curve ( § 11 ) , and the rate of increase is therefore the same as the rate of increase along the tangent , i.e. height of derived curve at the point . = § 16. OTHER ...
Página 60
... element of area " of each curve ( as an infinitely thin strip is called ) , such as that shaded in the figure , it is clear that since— p'P ' + q'Q ' ' R ' = area of strip of 4+ area of strip of = area of strip of The same relation ...
... element of area " of each curve ( as an infinitely thin strip is called ) , such as that shaded in the figure , it is clear that since— p'P ' + q'Q ' ' R ' = area of strip of 4+ area of strip of = area of strip of The same relation ...
Página 119
... had been written ( dp ) we should have expected it to represent a small di represents , naturally , the square of a small element of time . area . d2p dt2 ft . Hence has for its dimensions i.e. D.C. of a Function of a Function . 119.
... had been written ( dp ) we should have expected it to represent a small di represents , naturally , the square of a small element of time . area . d2p dt2 ft . Hence has for its dimensions i.e. D.C. of a Function of a Function . 119.
Página 140
... element of area of ( c ) , and the corresponding elements of ( b ) and ( a ) . These elements of ( b ) and ( c ) are the same height , and their P2M2 M1Q1 areas are directly as their breadths , and clearly PM = P1M1 = dz dx dz Now ...
... element of area of ( c ) , and the corresponding elements of ( b ) and ( a ) . These elements of ( b ) and ( c ) are the same height , and their P2M2 M1Q1 areas are directly as their breadths , and clearly PM = P1M1 = dz dx dz Now ...
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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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