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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Resultat 1-5 av 35
Side 4
... taken place in the interval . That is , we shall pay attention to the fact that a has got to a and b to b ' , without enquiring about the paths aa and bb ' , or about the time occupied in the transfer . A change of position effected by ...
... taken place in the interval . That is , we shall pay attention to the fact that a has got to a and b to b ' , without enquiring about the paths aa and bb ' , or about the time occupied in the transfer . A change of position effected by ...
Side 6
... taken , is true of any number of steps . This we shall now prove . First , the resultant is unaltered by the interchange of two successive steps . For to inter- change the steps bc , cd , that is , to take cd before bc , we must draw bc ...
... taken , is true of any number of steps . This we shall now prove . First , the resultant is unaltered by the interchange of two successive steps . For to inter- change the steps bc , cd , that is , to take cd before bc , we must draw bc ...
Side 7
... taken to be the same as -cb . And thus we may write either or else = ad ab + cd- cb , ad = ab + cd + bc . The symbol + , placed between two steps , is thus made to mean that their resultant is to be found , regard being had to their ...
... taken to be the same as -cb . And thus we may write either or else = ad ab + cd- cb , ad = ab + cd + bc . The symbol + , placed between two steps , is thus made to mean that their resultant is to be found , regard being had to their ...
Side 10
... taken at the middle point of hh ' , oh + oh ' = 2ok ; therefore oa + ob + oc + od = 2 ( oh + oh ' ) = 4ok . And the symmetry shews that this k is also the middle point of gg ' and of ff ' . Moreover , if we take a of the way from f to d ...
... taken at the middle point of hh ' , oh + oh ' = 2ok ; therefore oa + ob + oc + od = 2 ( oh + oh ' ) = 4ok . And the symmetry shews that this k is also the middle point of gg ' and of ff ' . Moreover , if we take a of the way from f to d ...
Side 16
... taken to go top from o at that instant . Now op = oa + ap . Let ab be the distance traversed in one second , then ap , being the distance traversed in t seconds , is t.ab. Hence we have op = oa + t . ab , a въ or , if we denote the step ...
... taken to go top from o at that instant . Now op = oa + ap . Let ab be the distance traversed in one second , then ap , being the distance traversed in t seconds , is t.ab. Hence we have op = oa + t . ab , a въ or , if we denote the step ...
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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.