For example, the locus of a point which moves in such a way that its distance from a fixed point is always equal to its distance from a fixed straight line, is a parabola. Elements of analytic geometry - Página 187de Simon Newcomb - 1885 - 356 páginasVisualização completa - Sobre este livro
| Charles Taylor - 1863 - 222 páginas
...always equal to the ratio SP : PR. Hence a conic might have been defined as the curve traced out by **a point which moves in such a way that its distance from** the focus bears always the same ratio to its distance from the directrix, measured parallel to any... | |
| C. TAYLOR, M.A. - 1872
...respects. CHAPTER I. CHORD-PROPERTIES OF THE PARABOLA. DEF. A parabola is the curve described in a plane by **a point which moves in such a way that its distance from a** certain fixed point, called the fiocus, is always equal to its perpendicular distance from a certain... | |
| Philip Kelland - 1873
...straight lines which do not meet ; find the locus of its centre. CHAPTER VI. THE ELLIPSE. 43. !• IF we **define a conic section as "the locus of a point which moves** so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight... | |
| Robert William Griffin - 1879 - 178 páginas
...Props, xxix. and xxiv.) CHAPTER II. THE ELLIPSE. DEFINITIONS. AN Ellipse is the curve traced out by **a point, which moves in such a way that its distance from a fixed point** is to its perpendicular distance from a fixed right line in a constant ratio « : 1 (E being less than... | |
| Charles Taylor - 1880 - 104 páginas
...chapters, as occasion arises.] 1. A CONIC SECTION*, or briefly a Conic, is the curve traced in a plane by **a point which moves in such a way that its distance from a** given point is in a constant ratio to its distance from a given straight line. The given point is called... | |
| John Henry Robson - 1880
...line. Let this cut the line in E. Repeat this process as often as is required. Def.—An ellipse is **the locus of a point which moves in such a way that** the sum of its distances from two fixed points is constant. This accurate mathematical definition merely... | |
| Hussein Tevfik (Pacha.) - 1882 - 68 páginas
...equation of a sphere. The equation of a Conic Section deduced directly from its definition. 85. We will **define a Conic Section as the locus of a point which moves** so that its distance from a fixed point bears a constant ratio to its distance from a fixed straight... | |
| Henry Bayard Phillips - 1915 - 197 páginas
...point P is taken on this line such that PQ = AQ. Find the locus of P as OQ turns about O. 3. A point P **moves in such a way that its distance from a fixed point** O multiplied by its distance from a fixed straight line LK is constant. Find the locus of P. 4. A segment... | |
| 1918
...parallel to a slant side, the section is a parabola. It may also be defined as the curve traced out by **a point which moves in such a way that its distance from a fixed point,** called the ' focus/ is always equal to its perpendicular distance from a fixed straight i » с с... | |
| Charles Morris - 1921
...parallel to a slant side, the section i* a parabola. It may also be defined as the curve traced out by **a point which moves in such a way that its distance from a fixed point,** called the ' focus, is always equal to its perpendicular distance from a fixed straight line, called... | |
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