An Elementary Course of Mathematics: Designed Principally for Students of the University of Cambridge |
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Common terms and phrases
AC² accelerating force action algebraical axis ball bisects called centre of gravity centrifugal force centripetal force chord circle conic section consider curvature curve cycloid described determine diameter diminished direction directrix distance draw ellipse equal equation equilibrium figure finite fluid focus force acting force tending formula friction Hence horizontal hyperbola impact inclined plane indefinitely small join latus rectum Law of Motion Lemma lens lever limit magnitude manner mass measure moving force parabola parallel parallelogram parallelogram of forces particle perpendicular polygon portion position preceding pressure produced projection Prop proportional proposition pully quantity radius rays refraction resolved result SCHOLIUM sides similar triangles sin² space square straight line string suppose surface tangent vertex vertical virtual velocity W₁ weight
Popular passages
Page 467 - When a ray of light passes from one medium to another, it is refracted so that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities in the two media.
Page 136 - From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle BCA is observed to be 135° : find the height of the mountain in yards.
Page 517 - Every section of a sphere, made by a plane, is a circle.
Page v - The elementary parts of Astronomy ; so far as they are necessary for the explanation of the more simple phenomena, without calculation.
Page 54 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Page 336 - ... velocity with which the body arrives at its last place, and with which the motion ceases. And in like manner, by the ultimate ratio of evanescent quantities is to be understood the ratio of the quantities not before they vanish, nor afterwards, but with which they vanish.
Page 58 - ... compounded of the ratio which the first has to the second, and of the ratio which the second has to the third, and of the ratio which the third has to the fourth, and so on unto the last magnitude.