## Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |

### From inside the book

Results 1-5 of 26

Page 56

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**surface**. Find an expression for the height of the balloon . 3. In order to ascertain the height of a mountain , a base was measured of a feet , and at either extremity of this base were taken the angles formed by the summit and the ... Page 74

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**surface**of another right cone , which has the same axis and vertex as the former . 5. Given a right cone and a point within it ; there are but two sections which have this point for focus , and the planes of these sections make equal ... Page 85

Harvey Goodwin. 4. Two weights P and Q balance each other upon the

Harvey Goodwin. 4. Two weights P and Q balance each other upon the

**surface**of a sphere by a string of given length , passing over the highest point . Required the position of equilibrium . 5. Two weights sustain each other upon two ... Page 86

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**surface**; prove that it will rest in any position , if the cosine of the vertical angle of each of the triangular faces be . μ 15. A sphere of radius a is supported on a rough inclined plane , for which the coefficient of friction is μ ... Page 89

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**surface**; and it is observed that the time of falling is t " less , and the velocity acquired m feet greater at one place than at the other : compare the acceleration of gravity at the two places . 11. A stone dropped from a bridge ...### Other editions - View all

### Common terms and phrases

2nd Edition 3rd Edition 4th Edition acceleration tending arithmetical arithmetical mean arithmetical series bisected centre of gravity chord circle concave cone Conic Sections conjugate convex lens Crown 8vo cylinder determine diameter directrix distance drawn Elementary ellipse English equal equation extremity F. A. Paley Fcap feet Find the number find the value fluid focal length foci focus geometrical progression given point given weight harmonic mean horizontal inches incident inclined plane inscribed intersection Latin latus rectum locus luminous point middle point mirror Multiply parabola parallel particle describes passing perpendicular position Post 8vo pressure prism projected prove pully quantity radii radius ratio reflected refracting respectively shew sides sinČ specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical

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