A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Resultat 1-5 av 64
Side 15
... coordinates respectively . 26. PROP . Any number of forces act upon a particle in any directions ; required to find the magnitude and direction of their resultant . 29 Let P1 , P2 , P „ , ... be the forces , and α‚ß11 , α2ß2Y2 ...
... coordinates respectively . 26. PROP . Any number of forces act upon a particle in any directions ; required to find the magnitude and direction of their resultant . 29 Let P1 , P2 , P „ , ... be the forces , and α‚ß11 , α2ß2Y2 ...
Side 18
... coordinates of the particle , and s the length of the arc measured from some fixed point up to the point x , y , z . The forces acting on the particle being resolved along the tangent to the curve , their sum is dx X ds + y dy dz ds +2 ...
... coordinates of the particle , and s the length of the arc measured from some fixed point up to the point x , y , z . The forces acting on the particle being resolved along the tangent to the curve , their sum is dx X ds + y dy dz ds +2 ...
Side 20
... coordinates of the particle , since they are pro- dF dF dF portional to 1 da ' dy dz respectively . Hence the equations ( 1 ) , and that to the surface , will determine x , y , z , and R , if X , Y , Z be given . If the particle rest on ...
... coordinates of the particle , since they are pro- dF dF dF portional to 1 da ' dy dz respectively . Hence the equations ( 1 ) , and that to the surface , will determine x , y , z , and R , if X , Y , Z be given . If the particle rest on ...
Side 43
... coordinates of their points of ap- plication . ...... Let A , be the point of application of P. At O suppose AL P1 2 Pi two forces applied in opposite directions each equal and parallel to P. Draw Op , perpendicular to P4 . Hence P ...
... coordinates of their points of ap- plication . ...... Let A , be the point of application of P. At O suppose AL P1 2 Pi two forces applied in opposite directions each equal and parallel to P. Draw Op , perpendicular to P4 . Hence P ...
Side 46
... , - x ' , y ' being the variable coordinates . ΣΥ ΣΥ 60. The result of the last article may also be obtained thus . Suppose that the given forces have a single resultant acting at the point x ' , y ' and 46 RESULTANT OF FORCES.
... , - x ' , y ' being the variable coordinates . ΣΥ ΣΥ 60. The result of the last article may also be obtained thus . Suppose that the given forces have a single resultant acting at the point x ' , y ' and 46 RESULTANT OF FORCES.
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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.
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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».
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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.
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