A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Side 131
... shell , of which this surface is the B exterior boundary , and of which the interior boundary is another surface of revolu- tion round the axis of x in- definitely near to the former . Required the centre of gravity of a portion of this ...
... shell , of which this surface is the B exterior boundary , and of which the interior boundary is another surface of revolu- tion round the axis of x in- definitely near to the former . Required the centre of gravity of a portion of this ...
Side 133
... shell having any given surface for one of its boundaries , and suppose its thickness indefinitely small . Let x , y , z be the coordinates of any point of the given surface , k the thickness at that point , SS the area of an element of ...
... shell having any given surface for one of its boundaries , and suppose its thickness indefinitely small . Let x , y , z be the coordinates of any point of the given surface , k the thickness at that point , SS the area of an element of ...
Side 134
... shell has for its outer and inner boundaries two similar and similarly situated ellipsoids ; required its centre of gravity . Let a , b , c be the semiaxes of the exterior ellipsoid , ra , rb , rc those of the inner ellipsoid , r being ...
... shell has for its outer and inner boundaries two similar and similarly situated ellipsoids ; required its centre of gravity . Let a , b , c be the semiaxes of the exterior ellipsoid , ra , rb , rc those of the inner ellipsoid , r being ...
Side 135
... shell , whose volume is ultimately 2yπxdx ; the centre of gravity of this shell will be in the axis of x at a distance 2x from 0 ( see Art . 133 , Ex . 3 ) ; π therefore = 2 π 2a 2x 2ynx dxc 2 20 yx * dx π π 0 2a yx dx 2a 0 za 0 2ynx dx ...
... shell , whose volume is ultimately 2yπxdx ; the centre of gravity of this shell will be in the axis of x at a distance 2x from 0 ( see Art . 133 , Ex . 3 ) ; π therefore = 2 π 2a 2x 2ynx dxc 2 20 yx * dx π π 0 2a yx dx 2a 0 za 0 2ynx dx ...
Side 136
... shell generated by the revolu- tion of PQRS round Ox is ultimately 2πу dy ( h - y cota ) . Its density is μy " , where μ is constant ; therefore , its mass is 2πμу1 Sy ( h - y cota ) . n + 1 The distance of its centre of gravity from O ...
... shell generated by the revolu- tion of PQRS round Ox is ultimately 2πу dy ( h - y cota ) . Its density is μy " , where μ is constant ; therefore , its mass is 2πμу1 Sy ( h - y cota ) . n + 1 The distance of its centre of gravity from O ...
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A Treatise on Analytical Statics: With Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1866 |
A Treatise on Analytical Statics: With Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1866 |
A Treatise on Analytical Statics, with Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
angle attracted particle axes axis beam Cambridge centre of gravity circle coefficient of friction conditions of equilibrium cone constant coordinates cose cosß cosy couple Crown 8vo curve cylinder denote density displacement distance ds ds dx dy dz elastic string element ellipsoid equal equation equi find the centre fixed point forces acting frustum Hence horizontal plane inclined plane latus rectum law of attraction length lever mass origin P₁ P₂ parabola parallel forces passing point of application position of equilibrium pressure PROP pullies radius resolved rest resultant attraction rigid body round shell shew sine single force single resultant smooth solid sphere spheroid straight line suppose surface system of forces tangent tension triangle uniform vanish vertex virtual velocity weight ΣΖ ΣΡ ΣΥ ΣΧ
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Side 12 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 9 - Geometry. With a numerous collection of Easy Examples progressively arranged, especially designed for the use of Schools and Beginners. By G. HALE PUCKLE, MA, St. John's College, Cambridge, Mathematical Master in the Royal Institution School, Liverpool.
Side 7 - TODHUNTER.— A Treatise on the Differential Calculus ; and the Elements of the Integral Calculus. With numerous Examples. By I. TODHUNTER, MA, Fellow and Tutor of St. John's College, Cambridge. Second Edition. Crown 8vo. cloth, 10».
Side 13 - Problems proposed in the Senate House Examination, January 1854. By the Moderators (W. WALTON, MA Trinity College, and CF MACKENZIE, MA Fellow of Caius College). In 8vo. cloth, 10*.
Side 6 - The Evidences of Christianity as Exhibited in the Writings of its Apologists down to Augustine. An Essay which obtained the Hulsean Prize for the Year 1852. By WJ BOLTON, of Gonville and Caius College, Cambridge. 8vo. cloth, 6s.
Side 4 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
Side 13 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St.
Side 4 - Present a richer combination of the qualities for Sermons of the first class than any we have met with in any living writer.