 ... of any point in the curve from the focus is to its distance from the directrix, as the distance between the foci is to the axis major ; and secondly, that the difference of the distances of any point in the curve from the two foci is equal to the...  A Manual of Mechanical Drawing - Page 56by Philip Devereux Johnston - 1903 - 149 pagesFull view - About this book
 | Pierce Morton - Geometry - 1830 - 584 pages
...to any point P in the curve, proceeding exactly as in (109.) we find Hence HP-SP = 2a = AA', that is the difference of the distances of any point in the curve from the foci is equal to the transverse axis. 165. Conversely, To find the locus of a point, the difference of whose... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 552 pages
...its distance from the directrix, as the distance between the foci is to the axis major; and secondly, that the difference of the distances of any point in the curve from the two foci is equal to the axis major. 3. " On the diurnal Temperature of the Earth's surface, with the... | |
 | Royal Society (Great Britain) - Electronic journals - 1843 - 538 pages
...its distance from the directrix, as the distance between the foci is to the axis major; and secondly, that the difference of the distances of any point in the curve from the two foci is equal to the axis major. 3. " On the diurnal Temperature of the Earth's surface, with the... | |
 | Daniel Kinnear Clark - Engineering - 1878 - 1022 pages
...tangent ED at the vertex, equal and parallel to the conjugate axis, and bisected by the transverse axis. The nature of the hyperbola is such that the difference...always the same, and is equal to the transverse axis. In a hyperbola the squares of any two ordinates to the transverse axes are to each other as the rectangles... | |
 | Daniel Kinnear Clark - Engineering - 1889 - 1030 pages
...tangent ED at the vertex, equal anil parallel to the conjugate axis, and bisected by the transverse axis. The nature of the hyperbola is such that the difference...always the same, and is equal to the transverse axis. In a hyperbola the squares of any two ordinates to the transverse axes are to each other as the rectangles... | |
 | William A. Radford, Alfred Sidney Johnson - Architecture - 1909 - 420 pages
...Having Given the Rectangular Axes. matter what point on the curve be taken, the sum of its distances from the foci is always the same, and is equal to the length of the major axis. Hence, to find points on the curve, mark off on AB, between x and y, any... | |
 | Clement Mackrow - Naval architecture - 1916 - 766 pages
...Another method, when t?ie foot and a point on the curve are yircn. (Fig. 28.) A hyperbola is a curve such that the difference of the distances of any point in the curve from the two foci is equal to the transverse axis ; and this property suggests the following mechanical construction... | |
 | English periodicals - 1843 - 570 pages
...distance from the directrix, as the distance between the foci is to the axis major ; and secondly, that the difference of the distances of any point in the curve from the two foci is equal to the axis major. 3. " On the diurnal Temperature of the Earth's surface, with the... | |
 | Railroad engineering - 1891 - 612 pages
...A and />' is called the center of the curve. The nature of a hyperbola is such that the différence of the distances of any point in the curve, from the...always the same, and is equal to the transverse axis A B. Thus if from the point О we draw lines О /'and 0 /•'' to the foci /'"and /-''. then the difference... | |
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