Elements of Dynamic: An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies, Volumer 1-3MacMillan and Company, 1878 |
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Side 95
... volume , which may be regarded as the product of ac and ab . But the magnitude of this volume is ab multiplied by the area into the sine of the angle it makes with ab , that is , into the cosine of the angle that ac makes with ab . This ...
... volume , which may be regarded as the product of ac and ab . But the magnitude of this volume is ab multiplied by the area into the sine of the angle it makes with ab , that is , into the cosine of the angle that ac makes with ab . This ...
Side 135
... volume of the tetrahedron which has the lines representing the spins for opposite edges . Let ab , cd be the representative lines ; since each may be slid along its axis without altering the spin , let them be so placed that the ...
... volume of the tetrahedron which has the lines representing the spins for opposite edges . Let ab , cd be the representative lines ; since each may be slid along its axis without altering the spin , let them be so placed that the ...
Side 136
... volume , namely , one - sixth of the squared magnitude of the twist multiplied by its pitch . INSTANTANEOUS MOTION OF A RIGID BODY . We shall prove presently that when a plane is in mo- tion , sliding on another plane , the system of ...
... volume , namely , one - sixth of the squared magnitude of the twist multiplied by its pitch . INSTANTANEOUS MOTION OF A RIGID BODY . We shall prove presently that when a plane is in mo- tion , sliding on another plane , the system of ...
Side 177
... volume made up of any number of the cubes will be altered in the same ratio as any one cube . Now any volume may be made up of cubes with an approximation which can be made as close as we like by taking the cubes small enough . Hence ...
... volume made up of any number of the cubes will be altered in the same ratio as any one cube . Now any volume may be made up of cubes with an approximation which can be made as close as we like by taking the cubes small enough . Hence ...
Side 185
... volumes are altered in the same ratio by a homogeneous strain . We shall write H for abc or efg : π , so that displace- ment of pH : ot . LINEAR FUNCTION OF A VECTOR . Just as in the case of a plane strain , the strained position of a ...
... volumes are altered in the same ratio by a homogeneous strain . We shall write H for abc or efg : π , so that displace- ment of pH : ot . LINEAR FUNCTION OF A VECTOR . Just as in the case of a plane strain , the strained position of a ...
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Elements of Dynamic: An Introduction to the Study of Motion and ..., Volum 1 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Elements of Dynamic: An Introduction to the Study of Motion and ..., Volum 1 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Elements of Dynamic: An Introduction to the Study of Motion and ..., Volumer 1-3 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Vanlige uttrykk og setninger
abcd acceleration angular velocity approximately axes axis axode bisects ca² called centimeter centrode circle circulation round complex number component compound conjugate diameters constant cross-ratio curvature curve of positions cycloidal cylinder cylindroid described direction displacement draw eccentric anomalies ellipse ellipsoid equal equation equipotential surface expansion finite fixed point flux function given Hence hodograph homogeneous strain hyperbola hyperboloid instant interval inverse length lines of flow magnitude mean velocity moving plane moving point multiplied orbit parabola parallelogram path perpendicular projection quantity radius rate of change ratio represented resultant right angles rigid body rolling rotation scalar screw shew simple harmonic motion solid angle sphere spin step straight line strained position suppose surfaces of revolution theorem translation triangles twist uniform circular motion vector velocity-potential velocity-system vortex-filament zero
Populære 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.