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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 21.
Σελίδα 25
... difference between the greater and the double of the less is also 3 : find the numbers . Ans . 6 and 9 . 3. A mercer bought 4 pieces of silk , which together measured 50 yards ; the second was twice , the third three times , and the ...
... difference between the greater and the double of the less is also 3 : find the numbers . Ans . 6 and 9 . 3. A mercer bought 4 pieces of silk , which together measured 50 yards ; the second was twice , the third three times , and the ...
Σελίδα 28
... difference as 8 : 1 , and the difference of their squares is Find the numbers . Ans . 18 and 14 . 128 . 23. The length of a certain rectangular field is to its breadth as 6 : 5. One sixth part of the area being planted , there remains ...
... difference as 8 : 1 , and the difference of their squares is Find the numbers . Ans . 18 and 14 . 128 . 23. The length of a certain rectangular field is to its breadth as 6 : 5. One sixth part of the area being planted , there remains ...
Σελίδα 29
... difference of whose differences is 5 ; their sum is 20 ; and their continued pro- duct 130. Required the numbers . Ans . 2 , 5 , and 13 . 31 . A person bought a quantity of cloth of two sorts for £ 7 188. For every yard of the better ...
... difference of whose differences is 5 ; their sum is 20 ; and their continued pro- duct 130. Required the numbers . Ans . 2 , 5 , and 13 . 31 . A person bought a quantity of cloth of two sorts for £ 7 188. For every yard of the better ...
Σελίδα 32
... difference ? 4 . to n terms . ..... to n terms . to 10 terms . to 9 terms . to 25 terms . to n terms . series is 1455 , the first What is the common Insert 3 arithmetical means between 2 and 14 . 5. Given the nth and mth terms of an ...
... difference ? 4 . to n terms . ..... to n terms . to 10 terms . to 9 terms . to 25 terms . to n terms . series is 1455 , the first What is the common Insert 3 arithmetical means between 2 and 14 . 5. Given the nth and mth terms of an ...
Σελίδα 33
... difference of 4 numbers in arithmeti- cal progression is 1 , and their product 120 ; find the num- bers . 13 . Given the nth term of an arithmetical series , and also the sum of n terms ; find the series . 14. Prove that 1 , 3 , 5 , 7 ...
... difference of 4 numbers in arithmeti- cal progression is 1 , and their product 120 ; find the num- bers . 13 . Given the nth term of an arithmetical series , and also the sum of n terms ; find the series . 14. Prove that 1 , 3 , 5 , 7 ...
Άλλες εκδόσεις - Προβολή όλων
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 111 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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.