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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.