Problems and ExamplesDeighton, Bell and Company, 1862 - 141 pages |
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Page 64
... fixed parabola . 15. Draw a parabola to touch a given circle at a given point , so that its axis may touch the circle at another given point . 16. P is any point on a parabola whose vertex is A , and through the focus S the chord QSQ ...
... fixed parabola . 15. Draw a parabola to touch a given circle at a given point , so that its axis may touch the circle at another given point . 16. P is any point on a parabola whose vertex is A , and through the focus S the chord QSQ ...
Page 67
... fixed point . 17. If a circle through Y , Z , the points where the perpen- dicular from the foci intersect the tangent at P , touch the major axis in Q , and that diameter which passes through meet the tangent at Pin R , then QR = BC ...
... fixed point . 17. If a circle through Y , Z , the points where the perpen- dicular from the foci intersect the tangent at P , touch the major axis in Q , and that diameter which passes through meet the tangent at Pin R , then QR = BC ...
Page 68
... fixed circle , whose centre is 0 , E a fixed point without the circle ; an ellipse is described with centre O and area constant , or as always to touch EP at P ; find the locus of the extremity of the diameter conjugate to OP . 36. The ...
... fixed circle , whose centre is 0 , E a fixed point without the circle ; an ellipse is described with centre O and area constant , or as always to touch EP at P ; find the locus of the extremity of the diameter conjugate to OP . 36. The ...
Page 71
... fixed point , and cuts a given straight line at a given angle : shew that the locus of its centre is an hyperbola . 4. The locus of the centre of a circle which touches two circles externally is an hyperbola . 5. The locus of the centre ...
... fixed point , and cuts a given straight line at a given angle : shew that the locus of its centre is an hyperbola . 4. The locus of the centre of a circle which touches two circles externally is an hyperbola . 5. The locus of the centre ...
Page 75
... fixed point A , and drawn in different directions by the forces P and Q , in such a man- ner that the pressure on A ... fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45 ...
... fixed point A , and drawn in different directions by the forces P and Q , in such a man- ner that the pressure on A ... fix two ropes at its top , one of which reaches the ground making an angle of 60 ° with the tree , and the other 45 ...
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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 sin² specific gravity sphere spherical square straight line string subtends surface tangent tower velocity vertex vertical
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