Elementary Practical Mathematics
Macmillan and Company, Limited, 1899 - Mathematics - 404 pages
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acting added angle axis base body calculate called cent centre circle common construction contains convenient corresponding cube cubic curve cylinder decimal denote described determined diameter difference direction distance divided division draw drawn equal equation example EXERCISES expressions factors feet figure foot force fraction given gives gravity Hence horizontal inches inclined indicated interest intersection joining known length logarithms magnitude mass means measure method minute moving multiplied necessary obtained parallel perpendicular piece plane position practical pressure projection quantity radians radius ratio rectangle remaining represented respectively result right angles rule scale shown sides similar manner simple slide square square root subtract surface trace triangle unit usually vectors vertical volume weight write written yard
Page 16 - Therefore, the specific gravity of a solid or a liquid body is the ratio of its weight to the weight of an equal volume of water...
Page 228 - Of four-sided figures, a square is that which has all its sides equal, and all its angles right angles.
Page 310 - But we know that a force may be represented in a purely graphical manner by a straight line in the direction of the force containing as many units of length as there are units of force in the force. The end of this line is marked with an arrow head to show in which direction the force acts. According to this method each force is drawn in its proper position in the diagram of configuration of the frame. Such a diagram might be useful as a record of the result of calculation of the magnitude...
Page 230 - 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 45 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Page 70 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 147 - If the given number is greater than 1, make the characteristic of its logarithm one less than the number of figures to the left of the decimal point in the number.
Page 377 - GENERAL INSTRUCTIONS. — If the rules are not attended to the paper will be cancelled. — You may take the Elementary, or the Advanced, or the Honours paper, but you must confine yourself to one of them.
Page 149 - The logarithm of the quotient of two positive numbers is found by subtracting the logarithm of the divisor from the logarithm of the dividend. (6) The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, N" = (oT)
Page 175 - 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°.