 F') ; the diameter drawn through them is called the major axis, and the perpendicular bisector of this diameter the minor axis. It is also defined as the locus of a point which moves so that the ratio of its distance from a fixed point...  Analytic Geometry - Page 115by Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 290 pagesFull view - About this book
 | Hugh Chisholm - Encyclopedias and dictionaries - 1910 - 1012 pages
...will be given. To investigate the form of the curve use. may be made of the definition: the ellipse is the locus of a point which moves so that the ratio of its distance from a fixed point (the /of«) to its distance from a straight line (the directrix) is constant... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 328 pages
...Equation of the Second Degree Ax* + By2 + 2 Gx + 2 Fy + C = O. 85. The ellipse defined. An ellipse is the locus of a point which moves so that the ratio of its distance from a fixed point, to its distance from a fixed line, is constant and less than unity. This... | |
 | David Allan Low - Geometrical drawing - 1912 - 468 pages
...locus. It is quicker and probably more accurate and certainly much easier to discover. 16. To find the locus of a point which moves so that the ratio of its distances from two given points shall be equal to a given ratio. — Let A and B (Fig. 50) be the two given points,... | |
 | Physics - 1912 - 536 pages
...= V2 when i7 = — /3. 77*e Inverse Points of Two Circles. — By a well-known theorem in geometry, the locus of a point which moves so that the ratio of its distance from two fixed points is constant, is a circle, and if C be the center of the circle and A... | |
 | Physics - 1912 - 526 pages
...= Vj when ij = — /3. The Inverse Points of Two Circles. — By a well-known theorem in geometry, the locus of a point which moves so that the ratio of its distance from two fixed points is constant, is a circle, and if C be the center of the circle and A... | |
 | University of Calcutta - 1912 - 746 pages
...co-ordinates of any point, what does xi*+yii + 2gxi 4 + 2fyi + c represent geometrically t Prove that the locus of a point which moves so that the ratio of the 6 tangents from it to two given circles is constant is a coaxial circle. 6. Obtain the equation... | |
 | Maxime Bôcher - Geometry, Analytic - 1915 - 266 pages
...the following new definition of conies known as BOSCOVICH'S DEFINITION. A conic is either a circle or the locus of a point which moves so that the ratio of its distance from a fixed point, called the focus, to its distance from a fixed line not passing through... | |
 | John Wesley Young, Frank Millett Morgan - Functions - 1917 - 586 pages
...the circle related to the triangle whose vertices are at the fixed points ? 7. Find the equation of the locus of a point which moves so that the ratio of its distances from two fixed points is constant and equal to k. Determine fully this locus. Examine especially the case... | |
 | Edwin Schofield Crawley, Henry Brown Evans - Geometry, Analytic - 1918 - 257 pages
...which their equations can be easily derived. 45. Definitions. I. CONIC, Focus, DIRECTRIX. A conic is the locus of a point which moves so that the ratio of its distance from a fixed point, called thefocuSy to its distance from a fixed line} called the directrix,... | |
 | Winfield Paul Webber, Louis Clark Plant - Calculus - 1919 - 330 pages
...value in the study of the laws of nature. Definition. — The locus of a point which moves in a plane so that the ratio of its distances from a fixed point and a fixed straight line is constant is called a conic section * or for short a conic. This definition, based... | |
| |
