A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Side 12
... axis of x , and one perpendicular to it for that of y . Then , by Art . ( 20 ) , P , may be resolved into P , cos a , and P , sin a , acting along the axes of x and y respectively . The other forces may be similarly resolved . Adding ...
... axis of x , and one perpendicular to it for that of y . Then , by Art . ( 20 ) , P , may be resolved into P , cos a , and P , sin a , acting along the axes of x and y respectively . The other forces may be similarly resolved . Adding ...
Side 13
... axis of x , along the axis of y . We shall express the former by EP cos a and the latter by Psin a , where the symbol Σ denotes that we take the sum of all the quantities of which the quantity before which it is placed is the type . If ...
... axis of x , along the axis of y . We shall express the former by EP cos a and the latter by Psin a , where the symbol Σ denotes that we take the sum of all the quantities of which the quantity before which it is placed is the type . If ...
Side 15
... axes of coordinates respectively . 26. PROP . Any number of forces act upon a particle in any directions ; required ... axes drawn through the proposed point . 1 Then , by Art . ( 25 ) , the components of P , in the directions of the ...
... axes of coordinates respectively . 26. PROP . Any number of forces act upon a particle in any directions ; required ... axes drawn through the proposed point . 1 Then , by Art . ( 25 ) , the components of P , in the directions of the ...
Side 16
... axes were taken arbitrarily , that of x might have been made to coincide with any assigned direc- tion . Or we may establish the proposition thus . Suppose a line drawn through the point of application of the forces , and inclined to the ...
... axes were taken arbitrarily , that of x might have been made to coincide with any assigned direc- tion . Or we may establish the proposition thus . Suppose a line drawn through the point of application of the forces , and inclined to the ...
Side 27
... axis of which is inclined to the horizon at a given angle a . Find the distance of the particle from a vertical plane passing through the axis . Also find the greatest value of a for a given helix , in order that there may be a position ...
... axis of which is inclined to the horizon at a given angle a . Find the distance of the particle from a vertical plane passing through the axis . Also find the greatest value of a for a given helix , in order that there may be a position ...
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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
Populære avsnitt
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.