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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. "
The Encyclopaedia Britannica: Edw to Fra - الصفحة 294
1910
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - 1887 - عدد الصفحات: 331
...given circle into segments whose product is equal to a given constant, /<? (33, Exercise). 21, Find the locus of a point the sum of whose distances from two given straight lines is equal to a given constant, k. (v. I., Exercise 10.) 22, Find the locus of a...

A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., كتاب 2

James Blaikie - 1892 - عدد الصفحات: 74
...locus of a point at which two equal segments of a given straight line subtend equal angles. 102. Find the locus of a point, the sum of whose distances from two parallel straight lines is equal to a given straight line greater than the distance between the parallel...

A Text-book of Geometry

George Albert Wentworth - 1888 - عدد الصفحات: 466
...two given straight lines are in a given ratio. (The locus consists of two straight lines.) 462. Find the locus of a point the sum of whose distances from two given straight lines is equal to a given length k. (See Ex.- 73.) PROBLEMS. 463. Given the perimeters...

Elementary Geometry

William Chauvenet - 1893 - عدد الصفحات: 340
...given circle into segments who.-*- product is equal to a given constaut, k* (33, Exercise). 91. Find the locus of a point the sum of whose distances from two given straight Hues is equal to a given constant, k. (v. I., Exercise 10.) 28. Find the locus of a...

Elements of Geometry: Plane and Solid

John Macnie - 1895 - عدد الصفحات: 386
...the locus of a point whose distances from two given straight lines are in a given ratio. 458. Find the locus of a point the sum of whose distances from two given straight lines is equal to a given line. 459. Find the locus of a point the difference of whose...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - عدد الصفحات: 554
...straight lines joining it to two given points not in the plane make equal angles with the plane. 154. Find the locus of a point the sum of whose distances from two given planes is equal to a given straight line. 155. Find the locus of a point equidistant from the...

Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - 1896 - عدد الصفحات: 296
...one branch of the required locus. In like manner CP' may be shown to be another branch. Ex. 462. Find the locus of a point the sum of whose distances from two given straight lines is equal to a given length K. Let AL and AN be two given lines, and K the given...

Plane Geometry

George D. Pettee - 1896 - عدد الصفحات: 272
...triangle has a given base and a given vertical angle. Find the centre of the inscribed circle. 34. Find the locus of a point the sum of whose distances from two given lines equals a given constant. 35. Find the locus of a point the difference of whose distances...

Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1896 - عدد الصفحات: 574
...straight lines joining it to two given points not in the plane make equal angles with the plane. 154. Find the locus of a point the sum of whose distances from two given planes is equal to a given straight line. 155. Find the locus of a point equidistant from the...

An Elementary Course in Analytic Geometry

John Henry Tanner, Joseph Allen - 1898 - عدد الصفحات: 424
...of the ellipse. The property of Art. 144 is sometimes given as the definition of the ellipse ; viz. the ellipse is the locus of a point the sum of whose...distances from two fixed points is constant. This definition leads at once to the equation of the curve (cf. Ex. 5, p. 67); and also gives a ready method...




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