A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página i
... obtain more detailed information than is compatible with the nature of this work , on particular questions which may ... obtained from even an exclusive perusal of the concise and methodical treatises which are generally adopted for the ...
... obtain more detailed information than is compatible with the nature of this work , on particular questions which may ... obtained from even an exclusive perusal of the concise and methodical treatises which are generally adopted for the ...
Página ii
... obtained from the historical matter of Lagrange's Mécanique Analytique , and from Montucla's Histoire des Mathé- matiques . CAMBRIDGE , October , 1842 . PREFACE TO THE SECOND EDITION . IN preparing for the iv PREFACE TO THE FIRST EDITION .
... obtained from the historical matter of Lagrange's Mécanique Analytique , and from Montucla's Histoire des Mathé- matiques . CAMBRIDGE , October , 1842 . PREFACE TO THE SECOND EDITION . IN preparing for the iv PREFACE TO THE FIRST EDITION .
Página 2
... obtained by polar co - ordinates , when the formula will be SJ2 cos e de dr Sfr de dr where r denotes the distance of any point within the area from 1 Mathemat . Collect . , lib . 8 , published for the first time in 1588 . 2 In duos ...
... obtained by polar co - ordinates , when the formula will be SJ2 cos e de dr Sfr de dr where r denotes the distance of any point within the area from 1 Mathemat . Collect . , lib . 8 , published for the first time in 1588 . 2 In duos ...
Página 5
... obtained more readily by polar co - ordinates : let P be any point in the area of the sector ; let CP = r , PCx = 0 ; then r + a α [ [ " con r2 cos e de drža3 rta a [ [ or de dr of th a2 cos e de rta -a do = sin a = fa We might have ...
... obtained more readily by polar co - ordinates : let P be any point in the area of the sector ; let CP = r , PCx = 0 ; then r + a α [ [ " con r2 cos e de drža3 rta a [ [ or de dr of th a2 cos e de rta -a do = sin a = fa We might have ...
Página 7
... obtained as easily by rectangular co- ordinates ; thus , putting a cos a = a ' , but hence a a [ exy de a dx y dx y2 = a2 — x2 ; a [ " xy dx = [ ' " x ( a2 — x2 ) 1 d.x - = — § ( a2 — x2 ) 3 , between limits , = fa3 sin3 a ...
... obtained as easily by rectangular co- ordinates ; thus , putting a cos a = a ' , but hence a a [ exy de a dx y dx y2 = a2 — x2 ; a [ " xy dx = [ ' " x ( a2 — x2 ) 1 d.x - = — § ( a2 — x2 ) 3 , between limits , = fa3 sin3 a ...
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Términos y frases comunes
absolute force acted angular velocity attraction axes axis beam body catenary centre of force centre of gravity circle co-ordinates coefficient of friction cos² curve cycloid cylinder denote density descends determine distance dt dt dt² dx dy dx² elastic ellipse equal equation Euler find the centre fixed point hence horizontal plane inclined plane inertia integrating James Bernoulli John Bernoulli lamina mass middle point moment of inertia motion natural length oscillation parabola perpendicular position of equilibrium pressure radius of gyration radius vector resolving forces rest right angles SECT sin² smooth sphere square straight line string supposing surface taking moments tangent tension triangle tube uniform rod varying inversely vertex vertical plane Vis Viva weight
Pasajes populares
Página 203 - A centre of force attracting inversely as the square of the distance is at the centre of a spherical cavity within an infinite mass of liquid, the pressure on which at an infinite distance is...