Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics, and Hydrostatics. With Tables ... and ReferencesLongmans, Green & Company, 1877 - 413 pages |
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Page 22
... four hundred and eighty - seven thousand six hundred and twenty - three ; and express in words 70600804016003 . 2. From £ 4768954 13s . 74d . take £ 2989767 18s . 11ąd . 3. ( 1 ) Multiply £ 2487 14s . 21d . by 3076 : ( 2 ) divide ...
... four hundred and eighty - seven thousand six hundred and twenty - three ; and express in words 70600804016003 . 2. From £ 4768954 13s . 74d . take £ 2989767 18s . 11ąd . 3. ( 1 ) Multiply £ 2487 14s . 21d . by 3076 : ( 2 ) divide ...
Page 37
... four miles an hour ? 3. Simplify ( 1 ) 5 of 61 of 114–313 . 39 ( 2 ) 71 × of 135-127 ( 3 ) Compare the values of 21 20 and and resolve 27 ' 81 ' 243 30 and 42 into their prime factors . 4. Express the difference between of 18s . 4d ...
... four miles an hour ? 3. Simplify ( 1 ) 5 of 61 of 114–313 . 39 ( 2 ) 71 × of 135-127 ( 3 ) Compare the values of 21 20 and and resolve 27 ' 81 ' 243 30 and 42 into their prime factors . 4. Express the difference between of 18s . 4d ...
Page 52
... Four reapers begin to cut a field of barley , and it is found after working for 5 days they have cut 10 acres . Two additional men are then employed who work at the same rate , and the whole is cut in 3 days more . How many acres does ...
... Four reapers begin to cut a field of barley , and it is found after working for 5 days they have cut 10 acres . Two additional men are then employed who work at the same rate , and the whole is cut in 3 days more . How many acres does ...
Page 61
... four factors . - 4. Prove the rule for finding the greatest common measure of two algebraical expressions . 5. Find the greatest common measure of 3x5-10x3 + 15x - 8 , and x1 - 2x2 + 1 . 6. If c + + 1 = 1 , and a 1 a + = 1 , prove that ...
... four factors . - 4. Prove the rule for finding the greatest common measure of two algebraical expressions . 5. Find the greatest common measure of 3x5-10x3 + 15x - 8 , and x1 - 2x2 + 1 . 6. If c + + 1 = 1 , and a 1 a + = 1 , prove that ...
Page 62
... four feet long and the hour hand three feet long , find the times between four and five o'clock at which their ends are five feet apart . 9. Define the characteristic of a logarithm , and from your definition show what are the ...
... four feet long and the hour hand three feet long , find the times between four and five o'clock at which their ends are five feet apart . 9. Define the characteristic of a logarithm , and from your definition show what are the ...
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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.