## Mathematical Exercises ... |

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acting amount angle axis base body CALC cent centre of gravity circle coefficient common contained cost cubic curve decimal described determine diameter difference direction distance Divide drawn elevation ellipse equal equilibrium Explain Express Extract the square feet Find the number Find the value fluid force fraction give given greatest horizontal plane hour inches inclined plane interest length logarithms lowest means measure miles moving Multiply observed parallel passing perpendicular places plane position pressure projected Prove radius Reduce remaining respectively rest result right angle sides simple Solve the equations square square root straight line string surface tables tangent tons train triangle TRIG velocity vertical volume weight whole 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 109 - 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 279 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.

Page 374 - 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 221 - A body is projected with a velocity v in a direction making an angle a with the horizon...

Page 225 - 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 198 - 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 84 - A number is divisible by 9 if the sum of its digits is divisible by 9.

Page 291 - 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 165 - One company guarantees to pay 5 per cent. on shares of £100 each; another guarantees at the rate of 4f per cent.