A collection of examples in pure and mixed mathematics, with hints and answers, by A. Wrigley and W.H. Johnstone1845 |
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Side 10
... weight of silver be coined into 66 shillings ; what is the weight of half - a - crown ? 201. How long would a column of men , extending 3000 feet in 3 length , take to march through a street mile long , at the rate of 4 75 paces in a ...
... weight of silver be coined into 66 shillings ; what is the weight of half - a - crown ? 201. How long would a column of men , extending 3000 feet in 3 length , take to march through a street mile long , at the rate of 4 75 paces in a ...
Side 12
... of A count for 13 of B , 6 of B for 18 of C , and 13 of C for 2 of D ; how many of A count for 100 of D ? 238. If the pound weight of standard gold , of 22 carats fine , be worth £ 46 148. 6d . , it is required 12 ARITHMETIC .
... of A count for 13 of B , 6 of B for 18 of C , and 13 of C for 2 of D ; how many of A count for 100 of D ? 238. If the pound weight of standard gold , of 22 carats fine , be worth £ 46 148. 6d . , it is required 12 ARITHMETIC .
Side 13
... weight 7 dwts . 23 of weight 7 dwts . 10 Mohur of Bengal , Mohur of Bombay , Gold Rupee of Bombay , of weight 7 dwts . II Gold Rupee of Madras , of weight 7 dwts . 12 Star Pagoda of Madras , of weight 2 dwts . 4 grs . and fineness 993 ...
... weight 7 dwts . 23 of weight 7 dwts . 10 Mohur of Bengal , Mohur of Bombay , Gold Rupee of Bombay , of weight 7 dwts . II Gold Rupee of Madras , of weight 7 dwts . 12 Star Pagoda of Madras , of weight 2 dwts . 4 grs . and fineness 993 ...
Side 43
... weight nor the prime cost of a certain article which he had purchased ; he knows however that if he had sold the whole at 30s . per lb. he would have gained £ 5 by it , and if he had sold it at 228. per lb. he would have lost £ 15 by it ...
... weight nor the prime cost of a certain article which he had purchased ; he knows however that if he had sold the whole at 30s . per lb. he would have gained £ 5 by it , and if he had sold it at 228. per lb. he would have lost £ 15 by it ...
Side 45
... weight are to each other in value as 11 to 17 ; but if to the same quantities of silver as before in each mixture double the former quantities of gold had been added , the values of two coins from them of equal weights would have been ...
... weight are to each other in value as 11 to 17 ; but if to the same quantities of silver as before in each mixture double the former quantities of gold had been added , the values of two coins from them of equal weights would have been ...
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A Collection of Examples in Pure and Mixed Mathematics, with Hints and ... Alfred Wrigley Ingen forhåndsvisning - 2013 |
Almindelige termer og sætninger
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
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Side 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.
Side 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.
Side 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.
Side 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.
Side 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...
Side 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?
Side 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.
Side 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.
Side 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.
Side 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...