 | James Johnstone - 1914 - 416 páginas
...plot a curve." Let the latter be a parabola having the equation y=\ x. Now a parabola is denned as " the locus of a point which moves, so that its distance from a fixed point is in a constant relation to its distance from a fixed straight line." How do we construct such a curve... | |
 | Virgil Snyder, Charles Herschel Sisam - 1914 - 318 páginas
...from two fixed points is constant. Take the points (± a, 0, 0). 8. Find and classify the equation of the locus of a point which moves so that its distance from (a, 0, 0) bears a constant ratio to its distance (o) from the plane x = 0 ; (&) from the Z-axis. 9. Show... | |
 | Maxime Bôcher - 1915 - 266 páginas
...which moves so that the slope of the line connecting it with a fixed point is constant ; and, in § 11, the locus of a point which moves so that its distance from a fixed point is constant. In these cases we had simply to express in algebraic language the law according to which... | |
 | Wallace Alvin Wilson - 1915 - 232 páginas
...of infinite size and approaches as a limit the radical axis. CHAPTER IV THE PARABOLA 52. Conics. — The locus of a point which moves so that its distance from a ßxed point is in a constant ratio to its distance from a fixed line is called a conic. The fixed point... | |
 | Charles Smith - 1916 - 466 páginas
...and that the locus of the centroids of the triangles is 3' = CHAPTEE VI. THE ELLIPSE. Definition. An Ellipse is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is less than unity, to its distance from a fixed line,... | |
 | Clement Mackrow - 1916 - 766 páginas
...sinh x, cosh x, e*, and e~* are given in the tables on pp. 708-10. CUBVES. CONIC SECTIONS. DEFINITION. —The locus of a point which moves so that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed straight line is called a... | |
 | John Wesley Young, Frank Millett Morgan - 1917 - 584 páginas
...B' on the side opposite B, O on the side opposite C. CHAPTER XII THE CIRCLE 206. Review. The circle is the locus of a point which moves so that its distance from a fixed point, called the center, is constant. This constant distance is called the radius of the circle. If the center... | |
 | John Wesley Young, Frank Millett Morgan - 1917 - 586 páginas
...(6) PI is (1, 0, 1), P2 is (0, 1, 2), « is x + 2 y + 22 = 2, and e is 60°. 25. Find the equation of the locus of a point which moves so that its distance from the zy-plane is twice its distance from the z-axis. 26. Find the equation of the locus of a point whose... | |
 | Edward Vermilye Huntington - 1918 - 226 páginas
...from the parametric equations by eliminating u. Fio. 7. THE PARABOLA The parabola (see also p. 107) is the locus of a point which moves so that its distance from a fixed line (called the directrix) is always equal to its distance from a fixed point F (called the focus)... | |
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Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig. 
