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 1851 |
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Page 89
... specific gravity of which is .63 , floats in water , specific gravity 1 ; determine the portion of the cylinder immersed . 4. One fourth part of a cubical solid of given dimen- sions , which floats in a fluid of known specific gravity ...
... specific gravity of which is .63 , floats in water , specific gravity 1 ; determine the portion of the cylinder immersed . 4. One fourth part of a cubical solid of given dimen- sions , which floats in a fluid of known specific gravity ...
Page 90
... specific gravity floats in water ; if a small weight be placed upon the top of the cylinder find how much it will be depressed . 8. A string which is made of an elastic material , such that its length is increased 1 inch by every pound ...
... specific gravity floats in water ; if a small weight be placed upon the top of the cylinder find how much it will be depressed . 8. A string which is made of an elastic material , such that its length is increased 1 inch by every pound ...
Page 91
... specific gravity of water being 1 , and of air .0013 , shew that the specific gravity of Q is .8237 , and that it is as large as 17.023 grains of water . 6. The specific gravity of pure gold is 19.3 , and of copper 8.62 ; required the ...
... specific gravity of water being 1 , and of air .0013 , shew that the specific gravity of Q is .8237 , and that it is as large as 17.023 grains of water . 6. The specific gravity of pure gold is 19.3 , and of copper 8.62 ; required the ...
Page 92
... specific gravity of the compound . 15. A piece of wood weighs 12 lbs . , and when at- tached to 22lbs . of lead and immersed in water the whole weighs 8lbs ; the specific gravity of lead being 11 times that of water , determine the ...
... specific gravity of the compound . 15. A piece of wood weighs 12 lbs . , and when at- tached to 22lbs . of lead and immersed in water the whole weighs 8lbs ; the specific gravity of lead being 11 times that of water , determine the ...
Page 93
... specific gravity of the body known , determine the density of the air in the receiver at first . 2. What will be the number of degrees indicated by a centigrade thermometer , when Fahrenheit's stands at 50 " , 18o , and — 12o ...
... specific gravity of the body known , determine the density of the air in the receiver at first . 2. What will be the number of degrees indicated by a centigrade thermometer , when Fahrenheit's stands at 50 " , 18o , and — 12o ...
Other editions - View all
A Collection of Problems and Examples, Adapted to the Elementary Course of ... Harvey Goodwin No preview available - 2019 |
A Collection of Problems and Examples Adapted to the 'Elementary Course of ... Harvey. Goodwin No preview available - 2015 |
A Collection of Problems and Examples, Adapted to the 'Elementary Course of ... Harvey Goodwin No preview available - 2010 |
Common terms and phrases
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cosē 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 sinē specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Popular passages
Page 111 - If two triangles have two sides of the one equal to two sides of the...
Page 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.
Page 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.
Page 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.
Page 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.
Page 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 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.
Page 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.