Elements of Dynamic: An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies. Kinematic, Del 1,Bok 1

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Macmillan and Company, 1878
 

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Side 100 - A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line, called the directrix.
Side iii - CLIFFORD — THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Side 97 - Therefore equal areas are described in the same plane in equal intervals; and the sums of any number of areas SADS, SAFS, are to each other as the times of describing them. Let now the number of these triangles be increased and their breadth diminished indefinitely; then their perimeter...
Side 221 - FRS, late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London : — AN ELEMENTARY TREATISE ON THE DYNAMICS OF THE SYSTEM OF RIGID BODIES. With numerous Examples. Third Edition, enlarged. 8vo. 2is. STABILITY OF A GIVEN STATE OF MOTION, PARTICULARLY STEADY MOTION. The Adams
Side 96 - ... fixed center of force, are in one fixed plane, and are proportional to the times of describing them. Let the time be divided into equal parts, and in the first interval let the body describe the straight line AB with uniform velocity, being acted on by no force. In the second interval it would, if no force acted, proceed to c in AB produced, describing Be equal to AB : so that the equal areas ASB, BSc described by radii AS, BS, cS drawn to the center S, would be completed in equal intervals.
Side 29 - A, it may be resolved into two components, one in the plane PCA and the other perpendicular to it, and both tangential to the spherical surface.
Side 101 - SP-HP=2a; that is, the difference of the focal distances of any point on the hyperbola is equal to the transverse axis. 219. The equation y* = -i (x2 — a2), may be written y=~. (xHence (see Fig. to Art. 213), _ AM.A'M~ AC*' Tangent and Normal to an Hyperbola.
Side 31 - ... the resultant of any number of simple harmonic motions of the same period and in the same line.

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