A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851 |
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Page 26
... ? Ans . A had £ 16 , and B £ 36 . 11. A courier , passing through a certain place , travels at the rate of 13 miles in 2 hours ; 12 hours afterwards an- 3 other passes through the same place , travelling the same 26 ALGEBRA .
... ? Ans . A had £ 16 , and B £ 36 . 11. A courier , passing through a certain place , travels at the rate of 13 miles in 2 hours ; 12 hours afterwards an- 3 other passes through the same place , travelling the same 26 ALGEBRA .
Page 27
... miles in three hours . How long and how far must the second travel before he overtakes the first ? Ans . 36 hours , 312 miles . 12. A waterman finds that he can row with the tide from A to B , a distance of 18 miles , in an hour and a ...
... miles in three hours . How long and how far must the second travel before he overtakes the first ? Ans . 36 hours , 312 miles . 12. A waterman finds that he can row with the tide from A to B , a distance of 18 miles , in an hour and a ...
Page 29
... miles . 28. A man travelled 105 miles , and then found that if he had not travelled so fast by 2 miles an hour , he should have been 6 hours longer in performing the same journey . Determine his rate of travelling . Ans . 7 miles per ...
... miles . 28. A man travelled 105 miles , and then found that if he had not travelled so fast by 2 miles an hour , he should have been 6 hours longer in performing the same journey . Determine his rate of travelling . Ans . 7 miles per ...
Page 33
... miles distant from each other , two persons , A and B , set out to meet each other ; A goes 3 miles the first day , 5 the second , 7 the third , and so on ; B goes 4 miles the first day , 6 the second , 8 the third , and so on ; in how ...
... miles distant from each other , two persons , A and B , set out to meet each other ; A goes 3 miles the first day , 5 the second , 7 the third , and so on ; B goes 4 miles the first day , 6 the second , 8 the third , and so on ; in how ...
Page 59
... mile towards the summit , up a plane making an angle of 30 ° with the horizon , to another station C , the angle BCA is observed to be 135 ° . Find the height of the mountain in yards . 17. An object 6 feet high , placed on the top of a ...
... mile towards the summit , up a plane making an angle of 30 ° with the horizon , to another station C , the angle BCA is observed to be 135 ° . Find the height of the mountain in yards . 17. An object 6 feet high , placed on the top of a ...
Other editions - View all
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin No preview available - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin No preview available - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin No preview available - 2010 |
Common terms and phrases
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Popular passages
Page 111 - If two triangles have two sides of the one equal to two sides of the...
Page 128 - To divide a given straight line 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 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Page 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Page 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Page 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.