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Elements of Analytical Geometry and of the Differential and Integral Calculus
Sin vista previa disponible - 2013
75 cents algebraic altitude angle Anthon's asymptotes axis of abscissas becomes chord circle circumference conjugate diameters conjugate hyperbola corresponding cosine cubical parabola cuts the axis cycloid described distance divided draw ellipse equal to zero exponent Find the integral Formula function Geom given point Hence hyperbola I.—Theorem inch per second increase uniformly increment inscribed Integrate the expression intersects the axis logarithmic logarithmic spiral major axis maximum minimum minor axis multiplied negative obtain ordinate parabola parallel parenthesis perpendicular point of inflection polar curve Prop Proposition I.—Theorem Proposition II.—Theorem radius of curvature radius vector ratio rectangle represent Required the differential required to determine required to find 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 value in equation vertex whence
Página 36 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Página 106 - The Cycloid. The cycloid is the curve described by a point in the circumference of a circle rolling in a straight line.
Página 282 - First Book in Greek. Containing a full View of the Forms of Words, with Vocabularies and copious Exercises, on the Method of constant Imitation and Repetition.
Página 230 - To free the equation of fractional exponents, substitute for the unknown quantity a new unknown quantity with an exponent equal to the least common multiple of the denominators of the exponents in the equation. Thus, in (1) put y = z", whence y * — z"", y ' = e", and y
Página 282 - Loomis's Elements of Plane and Spherical Trigonometry, with their Applications to Mensuration, Surveying, and Navigation. To which is added a full Series of Tables of Logarithms of Numbers, and of Sines and Tangents for every Ten Seconds of the Quadrant.
Página 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...
Página 280 - Grammar of the Greek Language. For the use of Schools and Colleges. 12mo, Sheep extra, 75 cents.
Página 36 - A radius of a circle is a straight line drawn from the centre to the circumference.
Página 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...