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

### From inside the book

Results 1-5 of 13

Page 63

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**latus rectum**as diameter ; if S be the focus of the parabola , SQ , SP make equal angles with the**latus rectum**. 4. If SPG be an equilateral triangle , SP is equal to the**latus rectum**. 5. If the ordinate at P bisects the subnormal of P ... Page 64

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**latus rectum**and the vertex is five - fourths of the**latus rectum**. 11. If from the middle point of a chord two straight lines be drawn , one perpendicular to the chord , meeting the axis in G , the other to the axis meeting it in N ... Page 65

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**latus rectum**of one is double that of the other ; prove that any chord of the exterior parabola passing through the vertex is bisected by the interior parabola . THE ELLIPSE . 1. Describe an ellipse of given excentricity , one focus and ... Page 69

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**latus rectum**. 47. Equal conjugate diameters bisect the chords joining the extremities of the axes . 48. If the tangent at the vertex cut any two conjugate diameters in T , t , then AT . At = BC . 49. Prove that CD . SY = BC . SP . 50 ... Page 74

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**latus rectum**of the conic on which Plies . 3. Having given a focus , a tangent , and the excentricity of a conic section , shew that the locus of its centre is a circle . 4. The foci of all parabolic sections which can be cut from a ...### 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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