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algebraic quantities arithmetic means arithmetic series arithmetical progression axis brackets ciphers co-ordinates column common denominator cosec decimal fractions decimal places Define digits divide dividend divisor ellipse equal Examples expression Extract the square factors figures Find the equation Find the number Find the sum Find the value formula geometric series geometrical progression greater greatest common measure Heaviside Hence hyperbola least common multiple logarithm lowest terms miles multiply negative number of terms numbers or quantities numerator and denominator obtained odd number parabola perpendicular present value prime number proportion prove quotient ratio recurring decimal reduce remainder right angles rule of signs Show sides simple interest Solve the equations Solve the following square root straight line subtract tangent unity unknown quantity vulgar fraction Whence whole number yards
Page lxxxii - Determine the expression for the cosine of an angle of a triangle in terms of the sides, and deduce the expression for the sine.
Page lxxxv - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Page lix - A privateer running at the rate of 10 miles an hour discovers a ship 1 8 miles off making way at the rate of 8 miles an hour : how many miles can the ship run before being overtaken?
Page liii - Explain fully what is meant by a fraction, and show that the value of a fraction is not altered by multiplying the numerator and denominator by the same number.
Page 65 - Any term may be transposed from one side of an equation to the other by changing its sign.
Page 76 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of a pound a head ; after being at sea 20 days she encounters a storm in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's daily allowance must be reduced to fivesevenths of a pound.
Page lxxvi - A and B are two fixed points 4 inches apart, and a point P moves so that the sum of its distances from A and B is 5 inches. Take as axes of co-ordinates the line AB and the line bisecting AB perpendicularly, and find the equation of the locus of P.
Page xlii - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.