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 21
Side 16
... less than mT , ns is less than mS . Hence by Euclid's definition of proportion , SsT : t . Letv be the number of centimeters gone over ( or described ) in one second ; then s : v = t : 1 , or s = vt , where s is the number of ...
... less than mT , ns is less than mS . Hence by Euclid's definition of proportion , SsT : t . Letv be the number of centimeters gone over ( or described ) in one second ; then s : v = t : 1 , or s = vt , where s is the number of ...
Side 27
... less than twice the strip whose height PQ is the difference in height between the lowest and highest point of the area ; for those on either side of it can be slid sideways into that strip so as not to fill it . And by increasing the ...
... less than twice the strip whose height PQ is the difference in height between the lowest and highest point of the area ; for those on either side of it can be slid sideways into that strip so as not to fill it . And by increasing the ...
Side 45
... less than that which ab makes . This is very obvious in the case of the circle , for the angle bat ba'a , and cat xa'a ; so that we have only to draw through a ' a line a'x making with a'a a less angle than a'b makes . = = This rule may ...
... less than that which ab makes . This is very obvious in the case of the circle , for the angle bat ba'a , and cat xa'a ; so that we have only to draw through a ' a line a'x making with a'a a less angle than a'b makes . = = This rule may ...
Side 46
... less than any proposed angle . Yet in one of these cases this line at is a tangent , and in the other it is not . We must therefore find a better criterion , which will distinguish between these cases . For The tangent to a circle has ...
... less than any proposed angle . Yet in one of these cases this line at is a tangent , and in the other it is not . We must therefore find a better criterion , which will distinguish between these cases . For The tangent to a circle has ...
Side 47
... less than the proposed angle , and take b at this point or between it and a . But the first curve has not this property , for the inclinations of the tangents at the points of inflexion are always the same , and any one of these counts ...
... less than the proposed angle , and take b at this point or between it and a . But the first curve has not this property , for the inclinations of the tangents at the points of inflexion are always the same , and any one of these counts ...
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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.