Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 63
... 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 ...
... 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
... 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 ...
... 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 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 ...
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
... 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 ...
... 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
... 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 ...
... 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 ...
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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 sin² specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical
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