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 1
... of pure translation , every straight line in the body remains parallel to its original position ; for if it did not , it would turn round , and there would be a motion of rotation mixed up C. 1 TRANSLATIONS STEPS Introduction.
... of pure translation , every straight line in the body remains parallel to its original position ; for if it did not , it would turn round , and there would be a motion of rotation mixed up C. 1 TRANSLATIONS STEPS Introduction.
Side 19
... then the motion of r is the resultant . We may consider the paral- lelogram oprq to be made of four jointed rods , of which op and oq turn round o . When these motions have the same period and the same sense , the angle poq 2-2.
... then the motion of r is the resultant . We may consider the paral- lelogram oprq to be made of four jointed rods , of which op and oq turn round o . When these motions have the same period and the same sense , the angle poq 2-2.
Side 44
... turn this line round until b moves up and coalesces with a . The final position at of this line may be called the tangent up to a . Simi- larly if we draw a line ac cutting the curve on the other side , and turn this round until c moves ...
... turn this line round until b moves up and coalesces with a . The final position at of this line may be called the tangent up to a . Simi- larly if we draw a line ac cutting the curve on the other side , and turn this round until c moves ...
Side 45
... turn it ever so little in the direction ab it will cut the curve between a and b . Hence , when such a line ab has been drawn , it is always possible to find a point x on the curve such that ax shall lie between at and ab ; or ( which ...
... turn it ever so little in the direction ab it will cut the curve between a and b . Hence , when such a line ab has been drawn , it is always possible to find a point x on the curve such that ax shall lie between at and ab ; or ( which ...
Side 73
... straight line which move together so that the point al- ways moves along the line and the line always turns round the point . ( Plücker . ) Lets be the arc of the curve , measured from a fixed point a up to the moving Curvature.
... straight line which move together so that the point al- ways moves along the line and the line always turns round the point . ( Plücker . ) Lets be the arc of the curve , measured from a fixed point a up to the moving Curvature.
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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.