Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page 9
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many ...
... condition to be expressed in any case of it is simply that the distance measured along the line from any one point to any other , remains constant , however the line be bent . 15. The use of a cord in mechanism presents us with many ...
Page 39
... condition when the wheel moves uniformly ; the approximation being the closer , the smaller is the angular motion . of the treadle and of the connecting string . It is also approx- imated to more or less closely in the motion of the ...
... condition when the wheel moves uniformly ; the approximation being the closer , the smaller is the angular motion . of the treadle and of the connecting string . It is also approx- imated to more or less closely in the motion of the ...
Page 48
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
... condition of having the projections of the ranges coincident with any two given mutually bisecting lines . Hence any two given simple harmonic motions , equal or unequal in range , and oblique or at right angles to one another in ...
Page 55
... conditions . For description of an integrating machine by which the coefficients A¡ , B ; in the Fourier expression ... condition F ( x + ip ) = F ( x ) ( 1 ) , where i denotes any positive or negative integer . Consider the integral ...
... conditions . For description of an integrating machine by which the coefficients A¡ , B ; in the Fourier expression ... condition F ( x + ip ) = F ( x ) ( 1 ) , where i denotes any positive or negative integer . Consider the integral ...
Page 61
... condition that the points of any one plane in it remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory — that is when AA ' is paral- B ments of a in its plane . lel to BB ' , but ...
... condition that the points of any one plane in it remain always in a fixed plane in space . 83. There is yet a case in which the construction in § 79 is nugatory — that is when AA ' is paral- B ments of a in its plane . lel to BB ' , but ...
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Common terms and phrases
acceleration action algebraic angular velocity anticlastic application arbitrary axis Cambridge centre of inertia circle co-ordinates coefficients component configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dt dy dx dy dy dy dy dz ellipsoid equal equations of motion equilibrium expression finite fixed force formula function give given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy Lagrange's linear mass measured momentum moving negative P₁ parallel particle path perpendicular polygon position principal axes principle quadratic quadratic function quantity radius rectangular resultant rigid body rolling roots rotation round simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values variable whole Y₁ αξ λ² аф
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Page 510 - The Missing Fragment of the Latin Translation of the Fourth Book of Ezra, discovered, and edited with an Introduction and Notes, and a facsimile of the MS., by ROBERT L. BENSLY, MA, Sub-Librarian of the University Library, and Reader in Hebrew, Gonville and Caius College, Cambridge.
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