Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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Página 10
... integral values of x and i.e. [ a - Lx a х с xb - c + x ― is to be a maximum for an integral value of x . y , Therefore the factor by which this expression is multiplied when 10 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
... integral values of x and i.e. [ a - Lx a х с xb - c + x ― is to be a maximum for an integral value of x . y , Therefore the factor by which this expression is multiplied when 10 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
Página 45
... integral value of n for an integral value of r . 15. If in BA , CA two sides of a triangle ABC two points D , E be taken respectively , such that BA : AC :: EA : AD and G the middle point of DE be joined to A , and if BH , CK be ...
... integral value of n for an integral value of r . 15. If in BA , CA two sides of a triangle ABC two points D , E be taken respectively , such that BA : AC :: EA : AD and G the middle point of DE be joined to A , and if BH , CK be ...
Página 72
... integrals taken round a loop will be numerically equal to the area of the loop , and positive or negative , according as the area of the loop is to the left or the right of the point as it travels round the perimeter of the loop ...
... integrals taken round a loop will be numerically equal to the area of the loop , and positive or negative , according as the area of the loop is to the left or the right of the point as it travels round the perimeter of the loop ...
Página 144
... integral of the differential equation Rr + Ss + Tt + U ( s2 — rt ) = V , - when it has a first integral of the form F ( u , v ) = 0 , where R , S , T , U , V , u , v , are functions of x , y , z , p , q . Obtain the complete integral of ...
... integral of the differential equation Rr + Ss + Tt + U ( s2 — rt ) = V , - when it has a first integral of the form F ( u , v ) = 0 , where R , S , T , U , V , u , v , are functions of x , y , z , p , q . Obtain the complete integral of ...
Página 145
... integrals of the given equation , and the complete integral is found by eliminating c between the equations and { x − $ ( c ) } * + { y − ¥ ( c ) } 2 + z3 — c2 = 0 = f ( x , y , z , c ) - df = 0 . dc The complete integral is therefore ...
... integrals of the given equation , and the complete integral is found by eliminating c between the equations and { x − $ ( c ) } * + { y − ¥ ( c ) } 2 + z3 — c2 = 0 = f ( x , y , z , c ) - df = 0 . dc The complete integral is therefore ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
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apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
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