Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 pages |
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Page 39
... Define simple and compound interest . Find the present value of £ 252 19s . 3d . due a year hence at 3 per cent .; and the amount of £ 850 in 3 years at 6 per cent . compound interest . 12. The content of a solid block of stone 12 ft ...
... Define simple and compound interest . Find the present value of £ 252 19s . 3d . due a year hence at 3 per cent .; and the amount of £ 850 in 3 years at 6 per cent . compound interest . 12. The content of a solid block of stone 12 ft ...
Page 58
... does not appear exactly in the tables . 12. Define a logarithm . If 22x . 73x = 1882384 , what is the value of x ? Given that logro 23010300 and log10 3 = 4771213 , find log103.75 , log10 5625 , and log1053 / ; 58 SANDHURST AND.
... does not appear exactly in the tables . 12. Define a logarithm . If 22x . 73x = 1882384 , what is the value of x ? Given that logro 23010300 and log10 3 = 4771213 , find log103.75 , log10 5625 , and log1053 / ; 58 SANDHURST AND.
Page 62
... Define the characteristic of a logarithm , and from your definition show what are the characteristics of log 10 and log 1 to the base 3 2 10. Given the logarithms to the base 10 of 2 and 3 , find 3 1 the logarithms of 72 , 135 and log 2 ...
... Define the characteristic of a logarithm , and from your definition show what are the characteristics of log 10 and log 1 to the base 3 2 10. Given the logarithms to the base 10 of 2 and 3 , find 3 1 the logarithms of 72 , 135 and log 2 ...
Page 65
... Define the logarithm of a number to a given base , and find the logarithms of 10000 to the base 10 and to the base / 10 , and also of 2401 to the base 7 , and to the base 1 3/7 Find from the tables log10487-9634 , and , by help of the ...
... Define the logarithm of a number to a given base , and find the logarithms of 10000 to the base 10 and to the base / 10 , and also of 2401 to the base 7 , and to the base 1 3/7 Find from the tables log10487-9634 , and , by help of the ...
Page 67
... Define the logarithm of a number . If the base be 3 , of what numbers are 1 , 2 , 3 , -1 , -2 , -3 respectively the logarithms ? Why is it found most convenient to calculate logarithms to a base 10 ? Of what number is ⚫5 the logarithm ...
... Define the logarithm of a number . If the base be 3 , of what numbers are 1 , 2 , 3 , -1 , -2 , -3 respectively the logarithms ? Why is it found most convenient to calculate logarithms to a base 10 ? Of what number is ⚫5 the logarithm ...
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Arithmetic axis ball base bisected body cent centre of gravity circle coefficient of friction compound interest cone cost crown 8vo cube cubic foot curve Define determine diameter Divide dwts ellipse English equal equilibrium expression feet Find the area Find the centre Find the distance Find the equation Find the number Find the sum Find the value fluid forces acting fraction geometrical Grammar horizontal plane hyperbola inches inclined plane inscribed Integrate isosceles latus rectum least common multiple length logarithms miles Multiply parabola parallel particle perpendicular pressure Prove pulleys radius ratio rectangle rectangular Reduce right angles sides simple interest sin² sine spherical triangle square root straight line string subtended Subtract surface tangent theorem tons tower triangle ABC velocity vertical vulgar fraction weight yards
Popular passages
Page 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Page 10 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Page 184 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Page 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Page 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Page 184 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Page 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.
Page 154 - If two straight lines be cut by parallel planes, they shall be cut in the same ratio. Let the straight lines AB, CD be cut by the parallel planes GH, KL, MN, in the points A, E, B; C, F, D : As AE is to EB, so is CF to FD.