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 8
... Shew how to find the lowest common multiple of three algebraical expressions . 8 If ,, are the lowest common multiples of B and C , of C and A , of A and B , respectively ; if 91 , 92 , 9 , are the highest common divisors of the same ...
... Shew how to find the lowest common multiple of three algebraical expressions . 8 If ,, are the lowest common multiples of B and C , of C and A , of A and B , respectively ; if 91 , 92 , 9 , are the highest common divisors of the same ...
Página 11
... Shew that corresponding small increments of a number and its logarithm are proportional . Find n from the following data : log , 42563 = 4 6290322 , log , 4256446290424 , 10 logon = = 2.6290376 . Find to how many decimal places n can be ...
... Shew that corresponding small increments of a number and its logarithm are proportional . Find n from the following data : log , 42563 = 4 6290322 , log , 4256446290424 , 10 logon = = 2.6290376 . Find to how many decimal places n can be ...
Página 12
... that cos ( A - B ) = cos A cos B + sin A sin B for all values of A and B between 0 and 90 ° . Shew how the proof may be extended so as to include all values of A and B. If A + B + C = 90 ° , 12 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
... that cos ( A - B ) = cos A cos B + sin A sin B for all values of A and B between 0 and 90 ° . Shew how the proof may be extended so as to include all values of A and B. If A + B + C = 90 ° , 12 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
Página 13
... Shew that if the squares of the sides of a triangle are in arithmetical progression , the tangents of the angles are in harmonical progression . If a " -b " -b " - c2 , = sin Asin B = sin'B - sin " C , = sin ( B − C ) sin ( B + C ) ...
... Shew that if the squares of the sides of a triangle are in arithmetical progression , the tangents of the angles are in harmonical progression . If a " -b " -b " - c2 , = sin Asin B = sin'B - sin " C , = sin ( B − C ) sin ( B + C ) ...
Página 14
... = 75 ° , b = 2 , a = √ ( 6 ) , shew that an error of 10 " in the value of C would cause an error of about 3 " 66 in the calculated value of B. The ultimate ratio of the error in B to the 14 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
... = 75 ° , b = 2 , a = √ ( 6 ) , shew that an error of 10 " in the value of C would cause an error of about 3 " 66 in the calculated value of B. The ultimate ratio of the error in B to the 14 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
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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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