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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Resultat 1-5 av 39
Side 30
... rátio , a + 2b or a + b a + 3b a +26 2. Compare the ratios , √3 49 and √2 40 3. What quantity must be added to each of the terms of the ratio a : b , that it may become equal to the ratio c : d ? 4. If four quantities are proportional ...
... rátio , a + 2b or a + b a + 3b a +26 2. Compare the ratios , √3 49 and √2 40 3. What quantity must be added to each of the terms of the ratio a : b , that it may become equal to the ratio c : d ? 4. If four quantities are proportional ...
Side 31
... ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity must be taken from each , in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any ...
... ratio of 2 : 3 , B in the ratio of 3 : 7. What quantity must be taken from each , in order to form a third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any ...
Side 33
... ratio ; and find that ratio . 15 . The nth term of an arithmetical series is find the sum of n terms . 3n 1 ; 6 16. The sums of n terms of two arithmetical series are as 137n : 1 + 3n ; find the ratio of their first terms . 17 * . Every ...
... ratio ; and find that ratio . 15 . The nth term of an arithmetical series is find the sum of n terms . 3n 1 ; 6 16. The sums of n terms of two arithmetical series are as 137n : 1 + 3n ; find the ratio of their first terms . 17 * . Every ...
Side 35
... ratio . 10. Given the sum of three quantities in geometrical progression , and the sum of their reciprocals ; find ... ratios value of the quantity 16 . 1 1 1 1 S1 + + S2 , 1 respectively ; find the 1 + • S The ( p + q ) th term of a ...
... ratio . 10. Given the sum of three quantities in geometrical progression , and the sum of their reciprocals ; find ... ratios value of the quantity 16 . 1 1 1 1 S1 + + S2 , 1 respectively ; find the 1 + • S The ( p + q ) th term of a ...
Side 37
... ratio which the third has to the fourth . 10 . If P , Q , R be respectively the pth , qth , and 7th terms of an harmonical series , prove that ( p − q ) PQ + ( r − p ) RP + ( q − r ) QR = 0 . PERMUTATIONS AND COMBINATIONS . 1. Find ...
... ratio which the third has to the fourth . 10 . If P , Q , R be respectively the pth , qth , and 7th terms of an harmonical series , prove that ( p − q ) PQ + ( r − p ) RP + ( q − r ) QR = 0 . PERMUTATIONS AND COMBINATIONS . 1. Find ...
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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
Populære avsnitt
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.