 | Joseph Harrison (A.M.I.C.E.) - Geometry - 1903 - 300 pages
...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 points 1.8" apart is 1.5". 5. Draw any two intersecting lines. And on tracing-paper mark any three... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...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 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... | |
 | William Chauvenet - 1905 - 336 pages
...divide the various chords of a given circle into segments whose product is equal to a given constant, K> (33, Exercise). 21. Find the locus of a point the...the given lines at a distance from it equal to k. PEOBLEMS. 23. To divide a given straight line into three segments, A, B, and C, such that A and B shall... | |
 | William Henry Maltbie - Geometry, Analytic - 1906 - 156 pages
...them had its geometric definitions. Two of these are as follows: (A) An ellipse An hyperbola sum is the locus of a point the difference of whose distances from two fixed points, called the foci, is constant. (B) An ellipse • An hyperbola is the locus of a point... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...perpendicular to the given perpendicular lines. Find the locus of C. 41. Find the locus of a point the sum of whose distances from two given straight lines is equal to a given length. 42. Find the locus of a point whose distances from two given intersecting lines are in a given... | |
 | Henry Burchard Fine, Henry Dallas Thompson - Geometry, Analytic - 1909 - 374 pages
...e(x + -)=ex + a, and subtracting gives FP-FP\ =2 a. 133. Hence, an hyperbola may also be defined as the locus of a point the difference of whose distances from two Jlxed points is constant. 134. Conjugate hyperbolas. The reasoning of § 98 applies in this connection... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...Find the locus of a point the sum of whose distances from two given parallel lines is constant. 8. Find the locus of a point the difference of whose distances from two given parallel lines is constant. 9. Find the locus of a point the sum of whose distances from two given... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...of the preceding article might be taken as a new definition of the hyperbola, viz., the hyperbola is the locus of a point the difference of whose distances from two fixed points is constant. This definition leads at once to the equation of the curve [cf. Ex. 33, p.... | |
 | George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...intersecting lines is constant. Given the lines AC and BD intersecting at 0, and the length I. Required to find the locus of a point the difference of whose distances from AC and BD is equal to I. Construction. Construct the quadrilateral ABCD as in Ex. 9, and prolong each... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...the locus of a point the sum of whose distances from two given intersecting lines is constant. 10. Find the locus of a point the difference of whose distances from two given intersecting lines is constant. 11. Find the locus of a point whose distances from two given points... | |
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Find the locus of a point the sum of whose distances from two given straight lines is equal to a given constant, k. 
