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

### From inside the book

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Page 63

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**chord**perpendiculars PL , QM are drawn to a given ordinate , shew that the sum of PL , QM , and PQ , is constant . 8. If a circle pass through the vertex and focus , cutting the tangent at the vertex in Q , the tangent to the circle at ... Page 64

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**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 , NG is constant . 12. The locus of the foot of the perpendicular on the normal from the focus is a ... Page 65

Harvey Goodwin. 21. Tangents at the extremities of a focal

Harvey Goodwin. 21. Tangents at the extremities of a focal

**chord**intersect at right angles in the directrix . 22. The circle described on SP as diameter touches the tangent at the vertex . 23. The circle described on a focal**chord**as ... Page 66

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**chords**with the extremity of the diameter passing through the point : shew that these lines touch the ellipse . 11. If PSQ is a focal**chord**, X the foot of the directrix corresponding to the focus S , XP , XQ are equally inclined to the ... Page 67

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**chord**which passes through the focus and is parallel to either tangent is equal to the axis minor . 21. The circles described on SP , HP , as diameters , touch the auxiliary circle . 22. If the normal at P meet the axis major in G , and ...### 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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