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 28.
Σελίδα 25
... second was twice , the third three times , and the fourth four times as long as the first . What were the respective lengths of the pieces ? Ans . 5 , 10 , 15 , 20 yards . 4. A gentleman buys four horses ; for the second ALGEBRA . 25.
... second was twice , the third three times , and the fourth four times as long as the first . What were the respective lengths of the pieces ? Ans . 5 , 10 , 15 , 20 yards . 4. A gentleman buys four horses ; for the second ALGEBRA . 25.
Σελίδα 26
... third £ 6 more than for the second ; and for the fourth £ 2 more than for the third . The sum paid for all is £ 230 . How much does each cost ? Ans . £ 45 . £ 57 . £ 63 . £ 65 . 5. A man leaves his property , amounting to £ 26,000 ...
... third £ 6 more than for the second ; and for the fourth £ 2 more than for the third . The sum paid for all is £ 230 . How much does each cost ? Ans . £ 45 . £ 57 . £ 63 . £ 65 . 5. A man leaves his property , amounting to £ 26,000 ...
Σελίδα 31
... third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series = 2 . Sum the following series : 2 + ...
... third mixture which shall contain 5 gallons of water and 11 of wine ? ARITHMETICAL PROGRESSION . 1. The latter half of 2n terms of any arithmetical of the sum of 3n terms of the same series . series = 2 . Sum the following series : 2 + ...
Σελίδα 33
... third , and so on ; B goes 4 miles the first day , 6 the second , 8 the third , and so on ; in how many days after starting will they meet ? 1 . GEOMETRICAL PROGRESSION . Sum the following series : 3 ALGEBRA . 33.
... third , and so on ; B goes 4 miles the first day , 6 the second , 8 the third , and so on ; in how many days after starting will they meet ? 1 . GEOMETRICAL PROGRESSION . Sum the following series : 3 ALGEBRA . 33.
Σελίδα 35
... third = } . Required the numbers . 8. The difference between two numbers is 48 , and the arithmetical mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number of terms , the sum ...
... third = } . Required the numbers . 8. The difference between two numbers is 48 , and the arithmetical mean exceeds the geometrical by 18. Find the numbers . 9. In any geometrical series , consisting of an even number of terms , the sum ...
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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.