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 27.
Σελίδα 27
... whole , exceeding the half by four guineas and a half , was 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 ...
... whole , exceeding the half by four guineas and a half , was 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 ...
Σελίδα 30
... whole price of the better sort was to the whole price of the worse as 72 7. How many yards had he of each ? 32 . Ans . 9 of the better , and 7 of the worse . There are two sorts of metal , each being a mix- ture of gold and silver , but ...
... whole price of the better sort was to the whole price of the worse as 72 7. How many yards had he of each ? 32 . Ans . 9 of the better , and 7 of the worse . There are two sorts of metal , each being a mix- ture of gold and silver , but ...
Σελίδα 38
... ( 1 + x ) " , n being a positive whole number , is 2 " ; and the sum of the coeffi- cients of the odd terms = the sum of the coefficient of the even = 2n - 1 . 4. Find the sum of the squares of the coefficients 38 ALGEBRA .
... ( 1 + x ) " , n being a positive whole number , is 2 " ; and the sum of the coeffi- cients of the odd terms = the sum of the coefficient of the even = 2n - 1 . 4. Find the sum of the squares of the coefficients 38 ALGEBRA .
Σελίδα 42
... whole population , and the deaths to th m 1 n part ; in how many years will the population double itself ? 3. A country trebles its population in a century ; what is the increase in one year per million ? 4 . Prove that 16 25 81 log 2 ...
... whole population , and the deaths to th m 1 n part ; in how many years will the population double itself ? 3. A country trebles its population in a century ; what is the increase in one year per million ? 4 . Prove that 16 25 81 log 2 ...
Σελίδα 76
... whole space described by the body ? 8. A body is projected upwards with a velocity of 64 feet in 1 " ; how far will it ascend before it begins to return ? With what velocity must a stone be projected from the top of a tower , 250 yards ...
... whole space described by the body ? 8. A body is projected upwards with a velocity of 64 feet in 1 " ; how far will it ascend before it begins to return ? With what velocity must a stone be projected from the top of a tower , 250 yards ...
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.