 | George Albert Wentworth - 1899 - عدد الصفحات: 278
...difference of whose distances from two given parallel lines is equal to a given length. Ex. 565. Find the locus of a point the sum of whose distances from two given intersecting lines is equal to a given length. Ex. 566. Find the locus of a point the difference... | |
 | George Albert Wentworth - 1899 - عدد الصفحات: 500
...Find the locus of the vertex of a triangle that has a given base and a given altitude. Ex. 563. Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length. Ex. 564. Find the locus of a point the difference... | |
 | Isaac Newton - 1900 - عدد الصفحات: 320
...segments of circles 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 ellipses are similar when the eccentricities are equal. H 3. Prove that the centre of an... | |
 | Eldred John Brooksmith - 1901 - عدد الصفحات: 368
...they are at right angles and inte<sect where the directrix cuts the axis. 7. Defining the ellipse as the locus of a point the sum of whose distances from two fixed points is constant, find its equation, taking the line joining the fixed points as axis of .v, and the middle point of... | |
 | Joseph Harrison (A.M.I.C.E.) - 1903 - عدد الصفحات: 300
...cb=i". Find the foci of the ellipse. If H be any point on the curve, verify that FH + HF = AA. 3. Plot the locus of a point the sum of whose distances from two points, 2.5" apart, is 3.5". 4. Plot the locus of a point the difference of whose distances from two... | |
 | George Albert Wentworth - 1904 - عدد الصفحات: 496
...Find the locus of the vertex of a triangle that has a given base and a given altitude. Ex. 563. Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length. Ex. 564. Find the locus of a point the difference... | |
 | 1911 - عدد الصفحات: 946
...the simple way just mentioned. Similarly I call the attention of classes to the ellipse as the path of a point the sum of whose distances from two fixed points is the same and hence being 'Reid before the Philadelphia Section of the Association of Teachers of Mathematics... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - عدد الصفحات: 346
...= e (M' E + EP) = e(V and adding gives PF+ PF' = 2 a. 97. Hence, an ellipse may also be defined as the locus of a point the sum of whose distances from two fixed points is constant. If the ends of a piece of string of length 2 a be fastened at two points in a sheet of paper, and the... | |
 | Henry Burchard Fine, Henry Dallas Thompson - 1909 - عدد الصفحات: 344
...e(- + x\ = a + ex, Ve / and adding gives PF+ PF' = 2 a. 97. Hence, an ellipse may also be defined as the locus of a point the sum of whose distances from two fixed points is constant. If the ends of a piece of string of length 2 а be fastened at two points in a sheet of paper, and... | |
 | Royal Military Academy, Woolwich - 1909 - عدد الصفحات: 456
...they are at right angles and intersect where the directrix cuts the axis. 7. Defining the ellipse as the locus of a point the sum of whose distances from two fixed points is constant, find its equation, taking the line joining the fixed points as axis of *, and the middle point of this... | |
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Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length. 
