Mathematical Exercises ...1867 |
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... COMMON : August 1864 . PREFACE TO THE SECOND EDITION . THIS EDITION contains about 900 additional Examples , selected from Examination Papers which have been set since the publication of the first Edition . The greater part of the new ...
... COMMON : August 1864 . PREFACE TO THE SECOND EDITION . THIS EDITION contains about 900 additional Examples , selected from Examination Papers which have been set since the publication of the first Edition . The greater part of the new ...
Page 34
... Common Multiple of two or more numbers ? Find that of 18 , 51 , 34 , 7 , 30 . 6. Reduce 16 , 285114 , to their lowest terms . 60 2295 5 7. Add together ( 1 ) 514 , 318 , 114. ( 2 ) ‰ , 1 , 13 , 36 . 8. Simplify 613-415 ÷ 15 9. Find the ...
... Common Multiple of two or more numbers ? Find that of 18 , 51 , 34 , 7 , 30 . 6. Reduce 16 , 285114 , to their lowest terms . 60 2295 5 7. Add together ( 1 ) 514 , 318 , 114. ( 2 ) ‰ , 1 , 13 , 36 . 8. Simplify 613-415 ÷ 15 9. Find the ...
Page 42
... common denominator . 6. A steamer which has to complete a voyage of 15,450 miles , has been 15 days at sea , steaming 180 miles daily ; what fraction of her voyage has the steamer performed ? How long will she be completing of her whole ...
... common denominator . 6. A steamer which has to complete a voyage of 15,450 miles , has been 15 days at sea , steaming 180 miles daily ; what fraction of her voyage has the steamer performed ? How long will she be completing of her whole ...
Page 45
... common denominator in addition . ( 2 ) Ex- press 12s . 6d . and £ 4 12s . 6d . as decimals of £ 1 . 7. A quantity of matting 37 ft . 9 in . long , and 7 ft . 6 in . wide , will just cover a room ; what width of matting 75 ft . long will ...
... common denominator in addition . ( 2 ) Ex- press 12s . 6d . and £ 4 12s . 6d . as decimals of £ 1 . 7. A quantity of matting 37 ft . 9 in . long , and 7 ft . 6 in . wide , will just cover a room ; what width of matting 75 ft . long will ...
Page 61
... common measure of its terms . 7. ( 1 ) Reduce 1−3 + 7−13 + 127 , and express the result as a decimal ; ( 2 ) divide 32 · 035 by · 86 ; ( 3 ) reduce 45 of £ 5 10s . to the decimal of £ 3 . 8. ( 1 ) A plot of ground required for ...
... common measure of its terms . 7. ( 1 ) Reduce 1−3 + 7−13 + 127 , and express the result as a decimal ; ( 2 ) divide 32 · 035 by · 86 ; ( 3 ) reduce 45 of £ 5 10s . to the decimal of £ 3 . 8. ( 1 ) A plot of ground required for ...
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Common terms and phrases
acres angle axis ball base binomial theorem bisected body CALC cent centre of gravity circle coefficient of friction compound interest cube cubic curve determine diameter Divide dwts ellipse equal equilibrium Express Extract the square feet Find the area Find the centre Find the distance Find the equation find the height Find the number Find the value fluid forces acting given horizontal plane inches inclined plane inscribed intersect latus rectum length logarithms lowest terms Multiply parabola parallel particle perpendicular plane triangle pressure Prove pulleys radius rectangular recurring decimal Reduce right-angled sides simple interest Simplify sin² sine smooth Solve the equations square root straight line string surface tangent tons tower TRIG velocity vertex vertical vulgar fractions weight yards
Popular passages
Page 12 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Page 113 - From the top of a hill the angles of depression of two successive milestones, on a straight level road leading to the hill, are observed to be 5° and 15°.
Page 283 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Page 378 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 225 - A body is projected with a velocity v in a direction making an angle a with the horizon...
Page 229 - Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I.
Page 202 - A manufacturer having a capital of £5000 on which he can realise by hand labour 10 per cent. profit, buys a machine for £1000, by which his profit on the remainder of his capital is raised to 20 per cent. This machine lasts 5 years. Of how...
Page 88 - A number is divisible by 9 if the sum of its digits is divisible by 9.
Page 295 - Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about a point in the space between their directions is the same as the moment of their resultant.
Page 169 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.