A History of MechanicsRoutledge & Paul, 1957 - 671 стор. |
З цієї книги
Результати 1-3 із 63
Сторінка 396
... coordinates of the points of the system , and V is the function ( B ) V = S ' , Σm ( x'dx + y'dy + z'dz ) = S ′ 2Tdt . By considering the characteristic function V as a function of the initial and final coordinates and of the quantity H ...
... coordinates of the points of the system , and V is the function ( B ) V = S ' , Σm ( x'dx + y'dy + z'dz ) = S ′ 2Tdt . By considering the characteristic function V as a function of the initial and final coordinates and of the quantity H ...
Сторінка 397
... coordinates ) . These two equations must be satisfied identically by V. Hamilton verifies that , by differentiating ... coordinates are replaced by the Lagrange variables defined in the following way , { N1 , N2 , .. ... e1 , eg ...
... coordinates ) . These two equations must be satisfied identically by V. Hamilton verifies that , by differentiating ... coordinates are replaced by the Lagrange variables defined in the following way , { N1 , N2 , .. ... e1 , eg ...
Сторінка 398
... coordinates ) 2 + ( 35 ) 1 } = U。( initial coordinates ) . In the Second Essay on a General Method in Dynamics , 1 Hamilton systematically developed the use of the principal function S and also established the canonical equations of ...
... coordinates ) 2 + ( 35 ) 1 } = U。( initial coordinates ) . In the Second Essay on a General Method in Dynamics , 1 Hamilton systematically developed the use of the principal function S and also established the canonical equations of ...
Зміст
Nicholas Copernicus 14721543 His system of the world | 5 |
The priority of Herman and Euler in the matter of dAlemberts | 6 |
Transformation of Maxwells equations including convection | 11 |
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able acceleration according action appears applied assumed become body called carried cause centre of gravity Century classical complete concept concerned condition connection considered constant continuous corresponding Descartes determined direction distance dynamics Earth effect energy equal equations equilibrium Euler example existence experiment expressed fact fall field fluid function Galileo given hand Huyghens hypothesis ideas impact impetus inclined increases Lagrange length lever light living forces mass matter means measure mechanics motion moving natural necessary observation obtained original particle physical plane position possible principle problem produced proportional Proposition quantity quantum quantum mechanics reference relation relative remains remarked represented resistance respect rest result sense shows simple solution space special relativity starts statics supposed surface taken theory travelled true velocity wave weight World writes