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### Innhold

 TRANSLATIONS 1 Composition of Steps Algebra 7 Representation of Motion 14 Harmonic Motion 20 Properties of the Ellipse 27 Compound Harmonic Motion 33 VELOCITIES 41 Velocity Uniform 47
 General Theorems The Critical Orbit 113 VELOCITYSYSTEMS 122 Moments 132 Curvature of Roulette 140 SPECIAL PROBLEMS 146 Double Generation of Cycloidal Curves 152 STRAINS 158 Properties of a Pure Function 164

### Populĉre avsnitt

Side 102 - 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 99 - E, &c., causing the body to describe in the successive intervals of time the straight lines CD, DE, EF, &c., these will all lie in the same plane ; and the triangle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. Therefore equal areas are described in the same...
Side iii - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Side 98 - ... 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 31 - 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 103 - 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 33 - ... the resultant of any number of simple harmonic motions of the same period and in the same line.