O que estão dizendo - Escrever uma resenha
Não encontramos nenhuma resenha nos lugares comuns.
Outras edições - Visualizar todos
abscissae angle APPLICATIONS approximately asymptotes average axes axis becomes calculate called centre circle considered constant contains coordinates corresponding values crosses cubic curve definite determine diagram distance divided Draw Draw the graph drawn ellipse equal equation example EXERCISES express falls feet fraction function give given gradient graph graphically greater harmonic Hence horizontal hyperbola inch increases length less logarithms maximum measured method minutes moves negative obtained ordinate origin parabola parallel period perpendicular plot Plot the points positive problem quantities radius relation represents respectively resultant roots satisfy scale Show shown side Similarly simple Solve square step straight line student symmetry taken tangent temperature term turning point unit usually values of x variable vertical zero
Página 146 - PF'/PH' = e, by definition of the curve. Furthermore :f (6) PF + PF' = 2a. In fact, the ellipse is often defined as the locus of a point which moves so that the sum of its distances from two fixed points is constant.
Página 48 - A can do a piece of work in 3 days, and B can do it in 5 days.
Página 149 - conic' is the locus of a point P which moves so that its distance from a fixed point S, called the 'focus,' is in a constant ratio to its distance from a fixed line called the 'directrix.
Página 135 - ... according as this limit does or does not exist. The geometry of curves is merely one of many departments of mathematics in which the idea of a derivative finds an application. Another important application is in dynamics. Suppose that a particle is moving in a straight line in such a way that at time t its distance from a fixed point on the line is <p(t). Then the 'velocity of the particle at time t' is by definition the limit of ) -#(0 h Examples XXXIX.
Página 101 - Art. 12O3. in which/ is the pressure in pounds per square inch, and V the volume in cubic feet of a pound of steam at the given pressure. •WORK DONE IN THE CYLINDER OF A STEAM ENGINE. Let P = the pressure on the piston in pounds per sq. ft. ; p = pressure on piston in pounds per sq. in. ; V = volume swept through by the- piston; W '=• work in foot-pounds.
Página 115 - An open tank is to be constructed with a square base and vertical sides so as to contain a given quantity of water. Show that the expense of lining it with lead will be least if the depth is made half of the width.
Página 156 - Prove that the area of the parallelogram formed by the tangents at the extremities of two conjugate diameters of an ellipse is constant, and is equal to 4 06.