 | Isaac Wilber Jackson - 1845 - 116 σελίδες
...M'O. CHAPTER III. THE HYPERBOLA. DEFINrTIONS, I . THE HYPERBOLA is a curve in which the difference of the distances of each point from two fixed points called the jfoci, is equal to a given line. Let F and F' (Fig. 21) be the foci of an hyperbola MAM'; then if from... | |
 | Elias Loomis - 1849 - 252 σελίδες
...of the rectangle ABCD. Therefore, every segment, &c. ELLIPSE. Definitions. 1. AN ellipse is a plane curve, in which the sum of the distances of each point from two fixed points, is equal to a given line. and if the point D moves about F in such a manner that the sum of its distances... | |
 | 1850 - 124 σελίδες
...The Geometry referred to is DAVIES' LEGENDRE. CONIC SECTIONS. CHAPTEE I. THE ELLIPSE. DEFINITIONS. t. THE ELLIPSE is a curve in which the sum of the distances...points called the foci, is equal to a given line. Let F and F' [Fig. 1] be the foci of an ellipse ABA'B' : then if from any point M of the curve the... | |
 | 1850 - 118 σελίδες
...The Geometry referred to is DAVIES' LEGENDRE. CONIC SECTIONS, CHAPTER I. THE ELLIPSE. DEFINITIONS. I. THE ELLIPSE is a curve in which the sum of the distances...points called the foci, is equal to a given line. Let F and F' [Fig. 1] be the foci of an ellipse ABA'B' : then if from any point M of the curve the... | |
 | Elias Loomis - 1851 - 300 σελίδες
...the area of the circumscribing rectangle. SECTION VI. ON THE ELLIPSE. ... (66.) AN ellipse is a plane curve in which the sum of the distances of each point from two fixed points is equal to a given line. The two fixed points are called the foci. Thus, if F and F' are two fixed... | |
 | Elias Loomis - 1858 - 256 σελίδες
...the rectangle ABCD. Therefore, every segment, dtc. ELLIPSE. "C Definitions. 1. AN ellipse is a plane curve, in which the sum of the distances of each point from two fixed points, is equal to a given line. 2. The two fixed points are called the foci. Thus, if F, F' are two fixed... | |
 | Elias Loomis - 1859 - 320 σελίδες
...determine the parameter of the pa-,/ rabola. 1 SECTION VI. ON THE ELLIPSE. (66.) AN ellipse is a plane curve in which the sum of the distances of each point from two fixed points is equal to a given line. The two fixed points are called the foci. Thus, if F and F' are two fixed... | |
 | Elias Loomis - 1871 - 302 σελίδες
...ABCD. Therefore, every segment, &c '.O.VIl SJSCT10N8. ELLIPSE. Definitions. 1. AN ellipse '.sa plane curve, in which the sum of the distances of each point from two fixed points, is equal to a givea line. 2. The two fixed points are called the foci. Thus, if F, F' are two fixed... | |
 | Charles Joyce White - 1872 - 300 σελίδες
...sections; since each curve may be formed by intersecting a right cone by a plane. 19. An ellipse is a plane curve, in which the sum of the distances of each point from two fixed points is equal to a given line. Thus, in Fig. 81, the sum of the distances of the point M from the two fixed... | |
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F' are two fixed points, and if the point D moves about F in such a manner that the sum of its distances from F and F' is always the same, the point D will describe an ellipse, of which F and F 