Treatise On Plane Co Ordinate Geometry As Applied to the Straight Line And the C
Treatise On Plane Co Ordinate Geometry As Applied to the Straight Line And the C
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a 6 b* 46. If from points of the curve — £ + -g = (a'—b 2 ) 2, tangents x y x 2 y 2 be drawn to the ellipse — 9 + j- 2 = 1, the chords of contact will be normal to the ellipse.
47. Prove the proposition in Art. 180 in a manner similar to that used in Art. 138. Also prove the proposition in Art. 138 in a manner similar to that used in Art. 180.
48. Find the equation to the ellipse the origin being the point (h, h) on the ellipse and the axes parallel to the axes of the ellipse.
49. From a point ...P on an ellipse two chords PQ, PQ' are drawn meeting the ellipse at Q, Q' '; if h, k be the coordi- nates of P referred to the centre, and mx + ny=l the equation to QQ' referred to P as origin, shew that with P as origin EXAMPLES. CHAPTER IX. 167 the straight lines PQ, PQ are represented by x 2 y 2 ftxh 2yk\, s ' 50. Let Pbe any point on an ellipse ; draw PP' parallel to the major axis and cutting the curve at P ; through P draw two chords PQ, PQ\ making equal angles with the major axis ; join QQ' : QQ' shall be parallel to the tangent at P.
What to read after Treatise On Plane Co Ordinate Geometry As Applied to the Straight Line And the C?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
a 6 b* 46. If from points of the curve — £ + -g = (a'—b 2 ) 2, tangents x y x 2 y 2 be drawn to the ellipse — 9 + j- 2 = 1, the chords of contact will be normal to the ellipse.
47. Prove the proposition in Art. 180 in a manner similar to that used in Art. 138. Also prove the proposition in Art. 138 in a manner similar to that used in Art. 180.
48. Find the equation to the ellipse the origin being the point (h, h) on the ellipse and the axes parallel to the axes of the ellipse.
49. From a point ...P on an ellipse two chords PQ, PQ' are drawn meeting the ellipse at Q, Q' '; if h, k be the coordi- nates of P referred to the centre, and mx + ny=l the equation to QQ' referred to P as origin, shew that with P as origin EXAMPLES. CHAPTER IX. 167 the straight lines PQ, PQ are represented by x 2 y 2 ftxh 2yk\, s ' 50. Let Pbe any point on an ellipse ; draw PP' parallel to the major axis and cutting the curve at P ; through P draw two chords PQ, PQ\ making equal angles with the major axis ; join QQ' : QQ' shall be parallel to the tangent at P.
What to read after Treatise On Plane Co Ordinate Geometry As Applied to the Straight Line And the C?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
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