## 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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**concave**surfaces in contact with the two fluids respectively may be in a given ratio . 19. If in a mixture of two fluids , of which the specific gravities are 3 and 5 respectively , a body of which the spe- cific gravity is 8 loses half ... Page 98

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**concave**mirror of given radius , and the focus of reflexion twice as far from it as the focus of incidence . Determine their actual distances . 4. A luminous point is placed in the axis of Optics. Page 99

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**concave**mirror of 2 feet radius , from the principal focus of the mirror . 7 . Given that the distance between the conjugate foci of a**concave**mirror is equal to the radius , find the focus of incidence . 8. Rays are incident upon a ... Page 101

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**concave**spherical surface of glass ( u = 1.5 ) , the radius of which is 2 feet ; find the geometrical focus of refracted rays . 5. When divergent rays are incident from a certain point upon a spherical surface of glass , the refracted ... Page 103

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**concave**lens , upon which parallel rays are incident , find the radius of a double equiconvex lens , which compounded with the former will refract the rays parallel . 4. The back of a double convex lens is quicksilvered ; if a small ...### 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 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

### 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.