## 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 pages |

### From inside the book

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**Divide**a + b3 , by a + b . 2.**Divide**a + b , by a + b3 . 3 .**Divide**xa + x3y + xy3 + y2 , by x + y . 4 .**Divide**x px1 + q x3 - qx2 + px - 1 , by a – 1 . - 5 .**Divide**x ( x − 1 ) a3 + ( x3 + 2 x − 2 ) a2 + ( 3x2 — x3 ) a − x1 , - by ... Page 7

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**Divide**ao + a b2 + a1b1 + a2bˆ + b3 , by a1 + a3b + a2b2 + ab3 + ba .**Divide**1 − 5x + 10x2 - 10x3 + 5x1 — x3 , by 1-3x + 3x2 —x3 . - 13.**Divide**a1 + b * + c1 − 2 ( a2b2 + a ° c2 + b ° c ) , by a2 + 2ab + b2 - c2 . 14 . 15 . 16 ... Page 88

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**divide**it by a line parallel to the surface of the fluid into two parts , the pressures on which may be in a given ratio . 11. A cylindrical vessel is filled with heavy fluid ; com- pare the pressure on the curved surface with the ... Page 89

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**divide**it into three portions which shall be equally pressed . 19. Compare the pressures on two equal isosceles tri- angles just immersed in the same fluid , one with its base upwards , the other downwards . FLOATING BODIES . 1 ... Page 96

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**divides**it . Two squares the sides of which are 4 and 2 inches respectively , are immersed vertically in a fluid , with their sides parallel to the surface . Determine to what depth the less must be immersed , so that the pressure on it ...### 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

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### 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.