A collection of examples in pure and mixed mathematics, with hints and answers, by A. Wrigley and W.H. Johnstone1845 |
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Seite iii
... contain collections of Examples ; but these are generally too limited in number and variety . The whole course of Mathematics read by Undergra- duates in Cambridge will define the scope of the pro- posed Work . Every subject will be ...
... contain collections of Examples ; but these are generally too limited in number and variety . The whole course of Mathematics read by Undergra- duates in Cambridge will define the scope of the pro- posed Work . Every subject will be ...
Seite 11
... contain 12 square feet ? 219. If 4 men or 6 women can do a piece of work in 20 days ; how long will 3 men and 5 women take to finish the same work ? 3 4 220. How many yards of paper yard wide will hang a room 18 feet long , 15 broad ...
... contain 12 square feet ? 219. If 4 men or 6 women can do a piece of work in 20 days ; how long will 3 men and 5 women take to finish the same work ? 3 4 220. How many yards of paper yard wide will hang a room 18 feet long , 15 broad ...
Seite 45
... contained in a front of the wedge . What is the number of men ? 614. There are two numbers such that 3 times the sum of their squares multiplied by the less is equal to 26 times the greater ; and twice the difference of their squares ...
... contained in a front of the wedge . What is the number of men ? 614. There are two numbers such that 3 times the sum of their squares multiplied by the less is equal to 26 times the greater ; and twice the difference of their squares ...
Seite 46
... contain 5 gallons of water and II of wine ? 632. The value of diamonds as the square of their weights , and the square of the value of rubies as the cube of their weight ; a diamond of a carats is worth m times a ruby of b carats , and ...
... contain 5 gallons of water and II of wine ? 632. The value of diamonds as the square of their weights , and the square of the value of rubies as the cube of their weight ; a diamond of a carats is worth m times a ruby of b carats , and ...
Seite 53
... contained in 7 courses of an incomplete pentagonal pile , when each side of the base row contains 15 shells ? PERMUTATIONS AND COMBINATIONS . General Formulæ . 1. The number of permutations of n different things , taking r of them at a ...
... contained in 7 courses of an incomplete pentagonal pile , when each side of the base row contains 15 shells ? PERMUTATIONS AND COMBINATIONS . General Formulæ . 1. The number of permutations of n different things , taking r of them at a ...
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A Collection of Examples in Pure and Mixed Mathematics, with Hints and ... Alfred Wrigley Keine Leseprobe verfügbar - 2013 |
Häufige Begriffe und Wortgruppen
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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Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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?
Seite 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.
Seite 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.
Seite 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.
Seite 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...