Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
From inside the book
Results 1-5 of 67
Page vii
... Coefficients ; also at the end of the second chapter , where a very full investigation of the " cycloidal motion " of systems is now given ; and in Appendix B ' , which describes a number of continuous calculating machines invented and ...
... Coefficients ; also at the end of the second chapter , where a very full investigation of the " cycloidal motion " of systems is now given ; and in Appendix B ' , which describes a number of continuous calculating machines invented and ...
Page xiv
... Coefficients equal re- spectively to Initial and Final Momentums , and to the time from beginning to end - Same Propositions for Ge- neralized Co - ordinates - Hamilton's " Characteristic Equa- tion " of Motion in Cartesian Co ...
... Coefficients equal re- spectively to Initial and Final Momentums , and to the time from beginning to end - Same Propositions for Ge- neralized Co - ordinates - Hamilton's " Characteristic Equa- tion " of Motion in Cartesian Co ...
Page xvii
... Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable Coefficients . VII . Harmonic Analyzer - Tidal Harmonic Analyzer - Secondary , ter- tiary , quaternary , etc. , tides ...
... Coefficients . VI . Mechanical Integration of the general Linear Differential Equation of any Order with Variable Coefficients . VII . Harmonic Analyzer - Tidal Harmonic Analyzer - Secondary , ter- tiary , quaternary , etc. , tides ...
Page 54
... coefficients . " Assume equation ( 14 ) below . Multiply both members first 2ίπξ by cos de and integrate from 0 to p : then multiply by 2inέ Ρ sin de and integrate between same limits . Thus instantly Ρ you find ( 13 ) . Theorein . This ...
... coefficients . " Assume equation ( 14 ) below . Multiply both members first 2ίπξ by cos de and integrate from 0 to p : then multiply by 2inέ Ρ sin de and integrate between same limits . Thus instantly Ρ you find ( 13 ) . Theorein . This ...
Page 55
... coefficients A¡ , B ; in the Fourier expression ( 14 ) for any given arbitrary function may be obtained with exceedingly little labour , and with all the accuracy practically needed for the harmonic analysis of tidal and meteorological ...
... coefficients A¡ , B ; in the Fourier expression ( 14 ) for any given arbitrary function may be obtained with exceedingly little labour , and with all the accuracy practically needed for the harmonic analysis of tidal and meteorological ...
Contents
251 | |
264 | |
271 | |
282 | |
307 | |
338 | |
340 | |
354 | |
98 | |
104 | |
114 | |
128 | |
148 | |
154 | |
160 | |
167 | |
219 | |
233 | |
250 | |
361 | |
366 | |
384 | |
428 | |
440 | |
444 | |
454 | |
479 | |
490 | |
498 | |
Other editions - View all
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
Popular passages
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.
Page 509 - The Pointed Prayer Book, being the Book of Common Prayer with the Psalter or Psalms of David, pointed as they are to be sung or said in Churches.