 | Charles Smith - 1916 - 466 páginas
...the third vertex is a? + y* - c? - ±a?Wa?/(a> ~ ft2)" - 0. CHAPTER VII. THE HYPERBOLA. Definition. The Hyperbola 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 greater than unity, to its distance from a fixed... | |
 | 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... | |
 | Louis Charles Karpinski, Harry Yandell Benedict, John William Calhoun - 1918 - 544 páginas
...positive for CHAPTER XIX THE PARABOLA 1. Definition. — The ellipse has been defined (page 289) as the locus of a point which moves so that its distance from a fixed point, the focus, is in a constant ratio less than one to its distance from a fixed line, the directrix. If... | |
 | 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)... | |
 | Raymond Benedict McClenon - 1918 - 266 páginas
...equal to its distance from the point (0, 4). Find the equation of its locus. 16. Find the equation of the locus of a point which moves so that its distance from the point (6, 1) is always equal to its distance from the line x = 2. In each of the following problems,... | |
 | Maria M. Roberts, Julia Trueman Colpitts - 1918 - 266 páginas
...the origin. Prove that the locus is a sphere and find its center and radius. 13. Find the equation of the locus of a point which moves so that its distance from the x-axis is equal to its distance from the point (1, 0, 2). Describe and construct the surface. 103.... | |
 | American Mathematical Society - 1919 - 530 páginas
...degree are classified according to their graphs. Thus the way is prepared for the conic section as the locus of a point which moves so that its distance from a fixed point is always equal to a constant times its distance from a fixed line. Part III consists of 118 pages... | |
 | Arthur Horace Blanchard - 1919 - 1698 páginas
...center at the origin. Conic Sections. A conic section, or a conic, is defined to be a cur1 traced by a point which moves so that its distance from a fixed point s ways has a constant ratio to its distance from a fixed straight line. Equ tion (15) always represents... | |
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Hyperbola 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 greater than unity, to its distance from a fixed straight line, called the directrix. 
