Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
З цієї книги
Результати 1-5 із 35
Сторінка 88
... relation , depending on the nature of the functions , between the new numerator and denominator which will enable us to trace the real value . A function u = PQ , which becomes can frequently be reduced to the form - when a ɑ , 1 0 for ...
... relation , depending on the nature of the functions , between the new numerator and denominator which will enable us to trace the real value . A function u = PQ , which becomes can frequently be reduced to the form - when a ɑ , 1 0 for ...
Сторінка 110
... relation between them . This corresponds geometrically to a locus of maxima and minima , such as would be produced by the extremity of the major axis of an ellipse which revolves round an axis parallel to the major axis . In these cases ...
... relation between them . This corresponds geometrically to a locus of maxima and minima , such as would be produced by the extremity of the major axis of an ellipse which revolves round an axis parallel to the major axis . In these cases ...
Сторінка 112
... relation between the quantities A , which is very useful in many problems . Let u be homogeneous of m dimensions , and let L1 = 0 , L20 , & c . be put under the form Ma + A = 0 , N2 + B = 0 , & c . where Ma is homogeneous of a ...
... relation between the quantities A , which is very useful in many problems . Let u be homogeneous of m dimensions , and let L1 = 0 , L20 , & c . be put under the form Ma + A = 0 , N2 + B = 0 , & c . where Ma is homogeneous of a ...
Сторінка 158
... relation between → and O , then the tangent of the angle ( 4 ) between the radius vector and the tangent to the curve is r d Ꮎ dr The subtangent , which is the portion of a perpendicular to the radius vector 2 at the origin ...
... relation between → and O , then the tangent of the angle ( 4 ) between the radius vector and the tangent to the curve is r d Ꮎ dr The subtangent , which is the portion of a perpendicular to the radius vector 2 at the origin ...
Сторінка 164
... pierces the plane of reference in a point through which there passes a possible branch of the curve . Képas , a horn . † Ράμφος , a beak . For a fuller development of the relation between the dy 164 SINGULAR POINTS OF CURVES .
... pierces the plane of reference in a point through which there passes a possible branch of the curve . Képas , a horn . † Ράμφος , a beak . For a fuller development of the relation between the dy 164 SINGULAR POINTS OF CURVES .
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Загальні терміни та фрази
a² b2 a²x² angle arbitrary constant asymptote becomes C₁ c²x² Cambridge circle co-ordinates condition Crelle's Journal curvature curve cycloid determine differential coefficients differential equation dx dx dx dy dx dy dx dx² dy dx dy dy dy dy dz dz dz eliminate ellipse equal Euler factor formula fraction function Geometry gives Hence hypocycloid infinite intersection John Bernoulli Let the equation lines of curvature locus logarithmic logarithmic spiral Multiply negative origin parabola perpendicular plane of reference radius SECT singular solution spiral Substituting subtangent surface tangent plane theorem triangle vanish whence x²)³