Solutions of the Problems and Riders Proposed in the Senate-house Examination for 1854Macmillan, 1854 - 225 páginas This Elibron Classics title is a reprint of the original edition published by Macmillan and Co. in Cambridge, 1854. |
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Página 7
... middle point of BC . Then , if G be the centre of gravity of the piece of wire , EG equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be vertical , and when hung up by B , BG ...
... middle point of BC . Then , if G be the centre of gravity of the piece of wire , EG equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be vertical , and when hung up by B , BG ...
Página 28
... centre of gravity of the perimeter of the quadrilateral . Let G1 , fig . ( 19 ) , be the centre of gravity of SP and PH , SQ and QH ; G2 ...... 2 then G the centre of gravity of the whole perimeter is the middle point of GG2 , and since ...
... centre of gravity of the perimeter of the quadrilateral . Let G1 , fig . ( 19 ) , be the centre of gravity of SP and PH , SQ and QH ; G2 ...... 2 then G the centre of gravity of the whole perimeter is the middle point of GG2 , and since ...
Página 29
... centre on the perpendicular from C upon the tangent at Q , and its major axis perpendicular to the major axis of the ... centre of gravity of the triangle , included between the two tangents 9-12 . ] 29 PROBLEMS .
... centre on the perpendicular from C upon the tangent at Q , and its major axis perpendicular to the major axis of the ... centre of gravity of the triangle , included between the two tangents 9-12 . ] 29 PROBLEMS .
Página 30
... centre of gravity of the triangle , whence x = f ( h + x + x ) , 3x h = 1+ 2 y = ž ( k + y1 + Y2 ) ; = 3y +1 h2 k2 k + a2 b2 X h 2 Hence - 1 + За y k2 ' b ' 36 ' k = 1 + h2 k2 + b2 2 + b2 But , by the hypothesis , x2 a2 + y2 6'2 = 1 ...
... centre of gravity of the triangle , whence x = f ( h + x + x ) , 3x h = 1+ 2 y = ž ( k + y1 + Y2 ) ; = 3y +1 h2 k2 k + a2 b2 X h 2 Hence - 1 + За y k2 ' b ' 36 ' k = 1 + h2 k2 + b2 2 + b2 But , by the hypothesis , x2 a2 + y2 6'2 = 1 ...
Página 48
... gravity of a circular 0 θ .f f ( 0 ) = cos ⋅f ( ) ƒ ( 1 ) = COS Ꮎ 0 Ꮎ f ( 2 ) = = cos 2 ƒ ( 14 ) n- Ꮎ .. f ( 0 ) ... centre of gravity of a circular arc must be in the line drawn from the centre to the middle point of the arc . Let f ...
... gravity of a circular 0 θ .f f ( 0 ) = cos ⋅f ( ) ƒ ( 1 ) = COS Ꮎ 0 Ꮎ f ( 2 ) = = cos 2 ƒ ( 14 ) n- Ꮎ .. f ( 0 ) ... centre of gravity of a circular arc must be in the line drawn from the centre to the middle point of the arc . Let f ...
Outras edições - Ver tudo
Solutions of the Problems and Riders Proposed in the Senate-House ... William Walton,Charles Frederick MacKenzie Pré-visualização indisponível - 2016 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2018 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2015 |
Palavras e frases frequentes
angular velocity asymptotes axes Cambridge catenary centre of force centre of gravity chord circle circular cloth College conic section constant coordinates cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter distance dx dy dy dx ecliptic ellipse equal equation equilibrium Fcap fixed point fluid geometrical progression given Hence horizontal hyperbola inclined intersection lamina latus rectum length locus longitude major axis middle point motion orbit parabola parallel particle passing perpendicular plane plate position pressure prove radius refraction right angles ring Second Edition shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube University of Cambridge vertical
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Referências a este livro
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização limitada - 2003 |
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização indisponível - 2003 |