...— 3 1/ = 0 and whose semi-axes along those lines are equal to 2 and 5 respectively. 10. Show that the locus of a point, the difference of whose distances from two fixed points is constant, is a hyperbola. Let the fixed points be (— c, 0), (+ c, 0) and let the...

...from the points (4, 0, 0) and ( — 4, 0, 0 ) is constant and equal to 10. What is the surface ? 8. Find the locus of a point the difference of whose distances from two points (4, 0, 0) and (—4, 0, 0) is constant and equal to 6. 9. How would you find in space coordinates...

...the focus, is always equal to its distance from a fixed line, called the directrix. A hyperbola is the locus of a point the difference of whose distances from two fixed points, called the foci, is always equal to a constant distance. An ellipse is the locus of a...

...interesting locus is illustrated in the following problem, which the student should solve carefully : Find the locus of a point the difference of whose distances from two fixed points is always constant. FIG. 235 SUGGESTION. On your paper take the two fixed points F and...

...г/2 = 4; Ь) 4г2 + 9уг = 36; с) ftc» + 25г/2 = 225. 6. The Hyperbola a. The General Problem. Find the locus of a point, the difference of whose distances from two fixed points is constant and equal to 2<z. Proceeding as in the work for the ellipse we get Since a...

...frequency) and marking these with a tennis-court line marker. METHOD 5 A hyperbola may be defined as the locus of a point, the difference of whose distances from two fixed points (the foci) is a constant. As might be expected, a device may be constructed somewhat simiiar...