Treatise on Natural Philosophy, Volume 1, Issue 1University Press, 1879 - Calculators |
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Page xii
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 238-241 242-270 Conservative System - Foundation of the Theory of Energy- Physical xii CONTENTS .
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 238-241 242-270 Conservative System - Foundation of the Theory of Energy- Physical xii CONTENTS .
Page 5
... perpendicular to their plane in the direction from O , such that OL , OL ' , OS lie in the same relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL ...
... perpendicular to their plane in the direction from O , such that OL , OL ' , OS lie in the same relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL ...
Page 6
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have d dz ds ...
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have d dz ds ...
Page 13
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
Page 14
... perpendicular to , any other direction . The first component is found by multiplying the velocity by the cosine of the angle between the two directions - the second by using as factor the sine of the same angle . Or , it may be resolved ...
... perpendicular to , any other direction . The first component is found by multiplying the velocity by the cosine of the angle between the two directions - the second by using as factor the sine of the same angle . Or , it may be resolved ...
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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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