Examples of the Processes of the Differential and Integral CalculusJ. and J.J. Deighton, 1846 - 529 стор. |
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Сторінка 133
... plane of reference , and that they cannot be properly included in the equation to one curve . As however the question is more closely connected with the analytical Theory of Logarithms than with the subject of which we here treat , I ...
... plane of reference , and that they cannot be properly included in the equation to one curve . As however the question is more closely connected with the analytical Theory of Logarithms than with the subject of which we here treat , I ...
Сторінка 157
... plane of reference , and that at an infinite distance it will coincide with it in a line , the equa- tion to which is that of the asymptote . ( 20 ) As an example of a curve having a possible asymp- tote to an impossible branch let us ...
... plane of reference , and that at an infinite distance it will coincide with it in a line , the equa- tion to which is that of the asymptote . ( 20 ) As an example of a curve having a possible asymp- tote to an impossible branch let us ...
Сторінка 164
... plane 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 .
... plane 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 .
Сторінка 177
... plane inclined at an angle 2π to the plane of the n original axes . If for different values of a the index of + change its value , the branch does not lie in one plane , but is a ... plane of reference , gives 12 TRACING OF CURVES . 177.
... plane inclined at an angle 2π to the plane of the n original axes . If for different values of a the index of + change its value , the branch does not lie in one plane , but is a ... plane of reference , gives 12 TRACING OF CURVES . 177.
Сторінка 178
Duncan Farquharson Gregory William Walton. where the curve quits the plane of reference , gives the limits of the curve in that plane . 2. Assign to a all negative values from 0 to ∞ , pro- ceeding as in the case of the positive values ...
Duncan Farquharson Gregory William Walton. where the curve quits the plane of reference , gives the limits of the curve in that plane . 2. Assign to a all negative values from 0 to ∞ , pro- ceeding as in the case of the positive values ...
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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