A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Resultat 1-5 av 30
Side 15
... reduce the system to three forces , by adding those which act in the same line , Art . ( 15 ) ; we thus have P1 cosa , + P2 cos a2 + 2 ... P , cosß , + P , cosß , + ... 2 P1 cosy , + P2 cosy , + 1 2 ... or ΣΡ cos a , or Σ.Χ , or ΣΡ cos ...
... reduce the system to three forces , by adding those which act in the same line , Art . ( 15 ) ; we thus have P1 cosa , + P2 cos a2 + 2 ... P , cosß , + P , cosß , + ... 2 P1 cosy , + P2 cosy , + 1 2 ... or ΣΡ cos a , or Σ.Χ , or ΣΡ cos ...
Side 30
... reduce the composition and resolution of forces of every description acting upon a rigid body . 40. From Art . ( 39 ) we might conjecture that two equal forces acting in parallel and opposite directions do not admit of a single ...
... reduce the composition and resolution of forces of every description acting upon a rigid body . 40. From Art . ( 39 ) we might conjecture that two equal forces acting in parallel and opposite directions do not admit of a single ...
Side 41
... reduced to a force P1 + P2 + P2 + ......... or EP along Oy , and a couple P11 + P12 + Px + ......... or ΣPx in the plane of the forces and tending to turn the body from the axis of x to the axis of y . 53. PROP . To find the conditions ...
... reduced to a force P1 + P2 + P2 + ......... or EP along Oy , and a couple P11 + P12 + Px + ......... or ΣPx in the plane of the forces and tending to turn the body from the axis of x to the axis of y . 53. PROP . To find the conditions ...
Side 42
... reduce to a couple . Y 0 ΣΡ When EP is not zero , the forces can be reduced to ΣΡ a single resultant . For if ΣΡ = 0 , then ΣΡ acting at O is the single resultant . If ΣPx be not = 0 , let the couple be transformed to one in which each ...
... reduce to a couple . Y 0 ΣΡ When EP is not zero , the forces can be reduced to ΣΡ a single resultant . For if ΣΡ = 0 , then ΣΡ acting at O is the single resultant . If ΣPx be not = 0 , let the couple be transformed to one in which each ...
Side 45
... reduce to a couple ; if R be not = 0 , the forces can be reduced to a single resultant . For if G = 0 , the resultant force is R acting at the origin . If the couple G be not = 0 , let IN ONE PLANE . 45.
... reduce to a couple ; if R be not = 0 , the forces can be reduced to a single resultant . For if G = 0 , the resultant force is R acting at the origin . If the couple G be not = 0 , let IN ONE PLANE . 45.
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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 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.