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 1851J. Deighton, 1851 - 173 sider |
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... found to be pos- sessed only by persons of great natural mathematical taste , and therefore such application cannot be ... number of illus- trative Examples . Very good Collections of Problems and Examples illustrative of several of the ...
... found to be pos- sessed only by persons of great natural mathematical taste , and therefore such application cannot be ... number of illus- trative Examples . Very good Collections of Problems and Examples illustrative of several of the ...
Side 25
... number is that , from the double of which if 2 be subtracted , the remainder will be 10 ? Ans . 6 . 2. There are two numbers ... find the numbers . Ans . 6 and 9 . 3. A mercer bought 4 pieces of silk , which together measured 50 yards ; the ...
... number is that , from the double of which if 2 be subtracted , the remainder will be 10 ? Ans . 6 . 2. There are two numbers ... find the numbers . Ans . 6 and 9 . 3. A mercer bought 4 pieces of silk , which together measured 50 yards ; the ...
Side 26
... Determine the amount to be received by each . Ans . The eldest receives £ 6000 , a younger son £ 4000 , and a ... number is that , the treble of which is as much above 40 , as its half is below 51 ? Ans . 26 . 8. A certain sum of ...
... Determine the amount to be received by each . Ans . The eldest receives £ 6000 , a younger son £ 4000 , and a ... number is that , the treble of which is as much above 40 , as its half is below 51 ? Ans . 26 . 8. A certain sum of ...
Side 27
... found to be 1 oz . deficient in weight . What was the number of guineas . Ans . 36 . 16. Two persons , A and B , played cards . After a certain number of games , A had won half as much as he had at first , and found that if he had 15 ...
... found to be 1 oz . deficient in weight . What was the number of guineas . Ans . 36 . 16. Two persons , A and B , played cards . After a certain number of games , A had won half as much as he had at first , and found that if he had 15 ...
Side 28
... Find two numbers in the proportion of 8 : 5 , the product of which is 360 . Ans . 24 and 15 . 22. There are two numbers , whose sum is to their difference as 8 : 1 , and the difference of their squares is Find the numbers . Ans . 18 and ...
... Find two numbers in the proportion of 8 : 5 , the product of which is 360 . Ans . 24 and 15 . 22. There are two numbers , whose sum is to their difference as 8 : 1 , and the difference of their squares is Find the numbers . Ans . 18 and ...
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Almindelige termer og sætninger
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
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Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 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.
Side 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.