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 الكتب الكتب 1 - 10 من 80 فيFind the locus of a point the sum of whose distances from two given parallel lines....
Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length.
The Encyclopaedia Britannica: a dictionary of arts, sciences, literature and ... - الصفحة 294
المحررون: - 1910
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## An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - 1834 - عدد الصفحات: 207
...ELLIPSE REFERRED TO THE Focus. The Focal Distances of any Point are SP=a- ex HP = a + ex 115 To find the Locus of a Point, the Sum of whose Distances from two fixed Points = 2rt 117 The Polar Equation (1) When the Focus is the Pole, is 1 + e cos 10 ' (2) When the Centre...
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## An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - 1834 - عدد الصفحات: 207
...Distances of any Point are SP — a — ex .*) HP — a + ex ............................... 115 To find the Locus of a Point, the Sum of whose Distances from two fixed Points = 2a ................ 117 The Polar Equation (1) When the Focus is the Pole, is 1 + e cos w ' (2) When...
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## A Treatise on Conic Sections and the Application of Algebra to Geometry

John Hymers - 1837 - عدد الصفحات: 130
...method of investigating the equation to the ellipse which is sometimes employed as follows. 118. To find the locus of a point, the sum of whose distances from two given points is constant. Through the two fixed points S, H (fig. 40), draw the indefinite line Sx;...
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## The examinations for the degree of bachelor of arts, Jan., 1847

Cambridge univ, exam. papers - 1847 - عدد الصفحات: 80
...extremities of any chord of a parabola intersect in the diameter which bisects the chord. fl. Find the locus of a point the sum of whose distances from two fixed points is constant. Shew how an ellipse whose semi-axes are 4 and 5 inches may be described mechanically. 14. Express the...
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## Newton's Principia, Sections I, II, III, with Notes and Illustrations: Also ...

Percival Frost - 1863 - عدد الصفحات: 288
...segments of a circle, which contain equal angles, are similar. 2. From the definition of an ellipse, as the locus of a point the sum of whose distances from two fixed points is constant, •shew that the ellipses are similar when the eccentricities are the same. 3. Prove that the center...
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## Geometrical Conics Including Anharmonic Ratio and Projection: With Numerous ...

Charles Taylor - 1863 - عدد الصفحات: 222
...of two fixed planes. APPENDIX. In the following articles an Ellipse is considered to be defined as the locus of a point, the sum of whose distances from two fixed points is constant; and a Hyperbola as the locus of a point the difference of whose distances from two fixed points is...
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## Principia: Sections I, II, III

Percival Frost - 1863 - عدد الصفحات: 288
...segments of a circle, which contain equal angles, are similar. 2. From the definition of an ellipse, as the locus of a point the sum of -whose distances from two fixed points is constant, 'shew that the ellipses are similar when the eccentricities are the same. 3. Prove that the center...
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## An easy introduction to the higher treatises on the conic sections. [With] Key

...therefore the required coordinates are a;'=5^, y'=~fs Ex. (4). Investigate the equation to the curve that is the locus of a point, the sum of whose distances from two given points is constant. Let S, H be the two fixed points, and take C the middle point of SH as origin....
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## An easy introduction to the higher treatises on the conic sections. [With] Key

...SP=HA+AP + SB-BP; but AP=BP; .'. HP + SP=HA + SB, the sum of the given radii, and therefore constant. And the locus of a point, the sum of whose distances from two given points is constant, is an ellipse. (See the 4th of the worked Examples.) 12. If a;', y' were...
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## A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - عدد الصفحات: 368
...segments (external or internal) whose product is equal to a given constant, fc*. (III. 56, 59.) 172. Find the locus of a point the sum of whose distances from two given straight lines is equal to a given constant It. 173. Find the locus of a point the difference...
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