A collection of examples in pure and mixed mathematics, with hints and answers, by A. Wrigley and W.H. Johnstone1845 |
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Page iii
... whole course of Mathematics read by Undergra- duates in Cambridge will define the scope of the pro- posed Work . Every subject will be separately illus- trated by a copious collection of appropriate Examples . One volume it is hoped ...
... whole course of Mathematics read by Undergra- duates in Cambridge will define the scope of the pro- posed Work . Every subject will be separately illus- trated by a copious collection of appropriate Examples . One volume it is hoped ...
Page 9
... whole at 5 for twopence ; did he gain or lose ? 188. Having bought 100 pears and 150 apples at the rate of 5 for twopence for the whole , and sold the pears at 2 a penny , and the apples at 3 a penny ; do I gain or lose ? 189. If I lb ...
... whole at 5 for twopence ; did he gain or lose ? 188. Having bought 100 pears and 150 apples at the rate of 5 for twopence for the whole , and sold the pears at 2 a penny , and the apples at 3 a penny ; do I gain or lose ? 189. If I lb ...
Page 10
... whole income of a parish is £ 5497 13s . 4d . , and the sum of £ 152 10s . 6d . is to be raised by means of a rate ; what is that rate in the pound ? 196. A person bought a puncheon of rum for £ 41 14s . 6d .; to which he added as much ...
... whole income of a parish is £ 5497 13s . 4d . , and the sum of £ 152 10s . 6d . is to be raised by means of a rate ; what is that rate in the pound ? 196. A person bought a puncheon of rum for £ 41 14s . 6d .; to which he added as much ...
Page 42
... whole cask . After that Silenus awakes and drinks what Bacchus had left . Had they both drank together it would have ... whole rate . The next year the rates were increased 40 per cent . , and he received back 12 per cent . of his rent ...
... whole cask . After that Silenus awakes and drinks what Bacchus had left . Had they both drank together it would have ... whole rate . The next year the rates were increased 40 per cent . , and he received back 12 per cent . of his rent ...
Page 43
... whole is 100 bushels , and worth 3s . 4d . per bushel . Had he put twice as much rye , and 10 bushels more of wheat , the whole would have been worth exactly the same per bushel : how much of each kind was there ? 590. A man and his ...
... whole is 100 bushels , and worth 3s . 4d . per bushel . Had he put twice as much rye , and 10 bushels more of wheat , the whole would have been worth exactly the same per bushel : how much of each kind was there ? 590. A man and his ...
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A Collection of Examples in Pure and Mixed Mathematics, with Hints and ... Alfred Wrigley No preview available - 2013 |
Common terms and phrases
angle of elevation arithmetic means arithmetic series arithmetical progression axes axis base bisecting Cape cent centre of gravity chord circumference coefficient cone conic section cos² curve described diameter direction Divide ellipse equal equilibrium Euclid expansion extremity find the angle Find the area Find the distance Find the equation find the inclination find the locus Find the ratio Find the value Formulæ fraction frustum geometrical progression given circle given point given straight line harmonic means horizontal plane hyperbola hypothenuse inches inclined plane infinity inscribed intersect latus rectum length lines be drawn middle point miles Multiply number of balls number of combinations parabola parallel pendulum perpendicular prob prove pulley radii radius respectively rest right angles right-angled triangle segments sides sin² Sum the series take moments tangent uniform beam vertex vertical angle weight yards
Popular passages
Page 69 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 44 - A vintner draws a certain quantity of wine out of a full vessel that holds 256 gallons ; and then filling the vessel with water, draws off the same quantity of liquor as before, and so on for four draughts, when there were only 81 gallons of pure wine left.
Page 45 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.
Page 67 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it.
Page 93 - Wanting to know my distance from an inaccessible object 0, on the other side of a river; and having no instrument for taking angles, but only a chain or cord for measuring distances; from each of two stations, A and B, which were taken at 500 yards asunder, I measured in a direct line from the object 0 100 yards, viz. AC and BD each equal to...
Page 48 - A and B set out to meet each other. A went 3 miles the first day, 5 the second, 7 the third, and so on. B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet?
Page 89 - The area of a regular polygon inscribed in a circle is a geometric mean between the areas of an inscribed and a circumscribed regular polygon of half the number of sides.
Page 49 - Required the number. 9. A person employed 3 workmen, whose daily wages were in arithmetical progression. The number of days they worked was equal to the number of shillings that the second received per day. The whole amount of their wages was 7 guineas, and the best workman received 28 shillings more than the worst.
Page 44 - A detachment of an army was marching in regular column, with 5 men more in depth than in front ; but upon the enemy coming in sight, the front was increased by 845 men ; and by this movement the detachment was drawn up in 5 lines. Required the number of men.
Page 98 - If from one of the angles of a rectangle a perpendicular be drawn to its diagonal, and from, the point of their intersection lines be drawn perpendicular to the sides which contain the opposite angle...