 | Mathematics - 1801 - 658 pages
...Hyperbolas. Parabola. H. The centre C is the middle of the axis. Hence the centre of a parabola is infinitely distant from the vertex. And of an ellipse the axis and centre he within the curve ; but of 'a hyperbola without. 1 2. A Diameter is any right line, as AB or DE,... | |
 | David Steel - 1805 - 392 pages
...the middle point of the tranverse is the centre of the conic section. A Diameter is any right line drawn through the centre, and terminated on each side...its intersections with the curve, are its vertices, A.| as C D. The transverse diameter of an hyperbola is that part of the axis intercepted between the... | |
 | Samuel Webber - Mathematics - 1808 - 520 pages
...of an ellipse the axes and centre lie with* in the curve ; but of a hyperbola without. Vol Il> .LI 12. A Diameter is any right line, as AB or DE, drawn through the centre, and terminafo^^n each side by the curve ; and the extremities ol' the'Sipicter, or its intersections with... | |
 | Edward Augustus Kendall - 1811 - 474 pages
...but in the parabola the centre is infinitely distant from the vertex. A diameter is any right line drawn through the centre, and terminated on each side by the curve. All the diameters of the parabola are parallel to the axis, and infinitely long, because there is no... | |
 | Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 962 pages
...but in the parabola the centre is infinitely distant from the vertex. A diameter is any right line drawn through the centre, and terminated on each side by the curve. All the diameters of the parabola are parallel to the axis, and infinitely long, because there is no... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...Parabola. 11. The Centre c is the middle of the axis. Hence the centre of a parabola is infinitely distant, from the vertex. And of an ellipse, the axis and centre he within the curve ; but of an hyperbola, without. 12. A Diameter is any right line, as AB or BE,... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...Parabola. MIT 11. The Centre c is the middle of the axis. Hence the centre of a parabola is infinitely distant from the vertex. And of an ellipse, the axis...but of an hyperbola, without. 12. A Diameter is any ruht line, as AB or DE, drawn through the centre, and terminated on each side by the curve • and... | |
 | William Jillard Hort - 1822 - 308 pages
...of the parabola may be considered as infinitely produced. The diameter of an ellipse is a right line drawn through the centre and terminated on each side, by the curve, as DE, FG. The diameter of a parabola is a right line perpendicular to the directrix, terminated, at... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...Parabola. 11. The Centre c is the middle of the axis. Hence the centre of a parabola is infinitely distant from the vertex. And of an ellipse, the axis...intersections with the curve are its vertices. Hence all the diumeters of a parabola are parallel to (he axis, and infinite in length. And hence also every diameter... | |
 | Charles Hutton - Mathematics - 1831 - 660 pages
...Parabola. 11. The centre с is the middle of the axis. Hence the centre of a parabola is infinitely distant from the vertex. And of an ellipse, the axis...hyperbola, without. 12. A Diameter is any right line, as AR or DK, drawn through the centre, and terminated on each side by the curve ; and the extremities... | |
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A diameter is any right line, as AB or DE, drawn through the centre, and terminated on each side by the curve ; and the extremities of the diameter, or its intersections with the curve, are its vertices. Hence all the diameters of a parabola are parallel... 
