Elements of Analytical Geometry and of the Differential and Integral CalculusHarper & Brothers, 1851 - 278 pagina's |
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Overige edities - Alles bekijken
Elements of Analytical Geometry and of the Differential and Integral Calculus Elias Loomis Volledige weergave - 1853 |
Elements of Analytical Geometry and of the Differential and Integral Calculus Elias Loomis Volledige weergave - 1851 |
Elements of Analytical Geometry and of the Differential and Integral Calculus Elias Loomis Volledige weergave - 1856 |
Veelvoorkomende woorden en zinsdelen
a²+x² algebraic altitude angle Anthon's asymptotes axes axis of abscissas becomes chord circle circumference conjugate diameters conjugate hyperbola corresponding cosine cubical parabola cycloid described divided draw drawn dx² ellipse equal to zero exponent Find the integral formula Geom given point Hence hyperbola inch per second increase uniformly increment inscribed Integrate the expression logarithmic logarithmic spiral major axis maximum minimum multiplied negative obtain ordinate parabola parallel parenthesis perpendicular point of inflection polar curve Prop PROPOSITION I.-THEOREM radius of curvature radius vector ratio rectangle rectangular represent Required the differential required to determine required to find revolution SCHOLIUM secant line second differential coefficient Sheep extra side solidity spiral square straight line Substituting this value subtangent suppose surface tang tangent line Taylor's theorem theorem transverse axis unity versed sine vertex whence
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Pagina 113 - As the body falls, the distance d and the time s are variables, and 16 is a constant. Again, time measured from a past date is a variable, while time measured between two fixed dates is a constant. 2. The constants in a mathematical investigation are, as a rule, general numbers, and are represented by the first letters of the alphabet, a, b, c, etc. ; variables are usually represented by the last letters, x, y, z, etc. 3. A variable which has a definite value, or set of values, corresponding to a...
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Pagina 205 - O = slope of the indifference curve on A or B = —— It is thus clear from above that if we have to find out the MRS^ at a point on the indifference curve we can do so by drawing tangent at the point on the indifference curve and then measuring the slope by estimating the value of the tangent of the angle which the tangent line makes with the X-axis. Principle of Diminishing Marginal Rate of Substitution An important principle of economic theory is that marginal rate of substitution of X for Y...