A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
Inni boken
Resultat 1-5 av 15
Side 47
... base the line which represents the force and for its vertex the point about which moments are taken . For example , we may prove the theorem which we have already deduced . 62. PROP . The algebraical sum of the moments of IN ONE PLANE 47.
... base the line which represents the force and for its vertex the point about which moments are taken . For example , we may prove the theorem which we have already deduced . 62. PROP . The algebraical sum of the moments of IN ONE PLANE 47.
Side 48
... base and for height the perpen- dicular from B on AC , together with a triangle having BD for base and for height the perpendicular from O on BD . This is obvious since BD is equal and parallel to AC . Hence we have AAOC ABOD + ACD ...
... base and for height the perpen- dicular from B on AC , together with a triangle having BD for base and for height the perpendicular from O on BD . This is obvious since BD is equal and parallel to AC . Hence we have AAOC ABOD + ACD ...
Side 100
... base . Let ABC be the base , D the vertex ; bisect AC x ; in E ; join BE , DE ; take EF = EB , then F is the centre of gravity of ABC . Join FD ; draw ab , bc , ca parallel to AB , BC , CA respectively , and let DF meet the plane abc in ...
... base . Let ABC be the base , D the vertex ; bisect AC x ; in E ; join BE , DE ; take EF = EB , then F is the centre of gravity of ABC . Join FD ; draw ab , bc , ca parallel to AB , BC , CA respectively , and let DF meet the plane abc in ...
Side 101
... base . Divide the base into triangles ; if any part of the base is curvilinear , then suppose the curve to be divided into an indefinitely great number of indefinitely short straight lines . Join the vertex of the pyramid with the ...
... base . Divide the base into triangles ; if any part of the base is curvilinear , then suppose the curve to be divided into an indefinitely great number of indefinitely short straight lines . Join the vertex of the pyramid with the ...
Side 102
... base . Hence the whole pyramid has its centre of gravity in this line . Therefore the centre of gravity is one - fourth of the way up the line joining the centre of gravity of the base with the vertex . Ex . 4. To find the centre of ...
... base . Hence the whole pyramid has its centre of gravity in this line . Therefore the centre of gravity is one - fourth of the way up the line joining the centre of gravity of the base with the vertex . Ex . 4. To find the centre of ...
Andre utgaver - Vis alle
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
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.