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 páginas |
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Página 26
... equal to twice the greater . What are the sums paid ? Ans . 33 and 52 shillings . 9. A cistern is filled in twenty minutes by three pipes , one of which conveys ten gallons more , and the other five gallons less , than the third , per ...
... equal to twice the greater . What are the sums paid ? Ans . 33 and 52 shillings . 9. A cistern is filled in twenty minutes by three pipes , one of which conveys ten gallons more , and the other five gallons less , than the third , per ...
Página 28
... equal cocks is stopped , seven ninths of the cistern is filled in ten hours and forty minutes . In how many hours would each cock fill the cistern ? Ans . Each of the equal ones in 32 hours , and the other in 24 . 21. Find two numbers ...
... equal cocks is stopped , seven ninths of the cistern is filled in ten hours and forty minutes . In how many hours would each cock fill the cistern ? Ans . Each of the equal ones in 32 hours , and the other in 24 . 21. Find two numbers ...
Página 29
... equal to half the number of miles B went in a day . How many miles did each travel per day ? Ans . A 24 and B 16 miles . 28. A man travelled 105 miles , and then found that if he had not travelled so fast by 2 miles an hour , he should ...
... equal to half the number of miles B went in a day . How many miles did each travel per day ? Ans . A 24 and B 16 miles . 28. A man travelled 105 miles , and then found that if he had not travelled so fast by 2 miles an hour , he should ...
Página 30
... equal weights would have been to each other as 7 : 11. Deter- mine the proportion of gold to silver in each mixture , the values of equal weights of gold and silver being as 13 : 1 . Ans . The proportion is 1 : 9 in the first mixture ...
... equal weights would have been to each other as 7 : 11. Deter- mine the proportion of gold to silver in each mixture , the values of equal weights of gold and silver being as 13 : 1 . Ans . The proportion is 1 : 9 in the first mixture ...
Página 34
... equal to the sum of all that follow it if continued ad infinitum ; required the series . 5. The arithmetical mean between a and b is greater than the geometrical . 6. If quantities are in geometrical progression , their differences are ...
... equal to the sum of all that follow it if continued ad infinitum ; required the series . 5. The arithmetical mean between a and b is greater than the geometrical . 6. If quantities are in geometrical progression , their differences are ...
Otras ediciones - Ver todas
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin Sin vista previa disponible - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin Sin vista previa disponible - 2010 |
Términos y frases comunes
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
Pasajes populares
Página 111 - If two triangles have two sides of the one equal to two sides of the...
Página 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.
Página 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.
Página 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.
Página 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.
Página 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 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.
Página 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.