| John Radford Young - Conic sections - 1830 - 342 pages
...employed, is called the parameter of that diameter, which is taken for the axis of x, so that generally **the parameter of any diameter is equal to four times the distance** of its vertex from the focus. By equation (5) the parameter is always equal to the double ordinate,... | |
| John Radford Young - Conic sections - 1830 - 390 pages
...employed, is called the parameter of that diameter, which is taken for the axis of x, so that generally **the parameter of any diameter is equal to four times the distance** of its vertex from the focus. By equation (5) the parameter is always equal to the double ordinate,... | |
| Henry Parr Hamilton - Mathematics - 1834 - 272 pages
...passing through the' focus is called the parameter of the corresponding diameter ; hence 80. COR. 2. **The parameter of any diameter is equal to four times the distance** of its vertex from the focus. 81. COR. 3. Hence also, the square of the ordinate to any diameter is... | |
| Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...passing through the focus is called the parameter of the corresponding diameter ; hence 80. COE. 2. **The parameter of any diameter is equal to four times the distance** of its vertex from the focus. 81. COR. 3. Hence also, the square of the ordinate to any diameter is... | |
| John Radford Young - Geometry, Analytic - 1835 - 298 pages
...employed, is called the parameter of that diameter, which is taken for the axis of x, so that generally **the parameter of any diameter is equal to four times the distance** of its vertex from the focus. By equation (5) the parameter is always equal to the double ordinate,... | |
| Charles Davies - Geometry, Analytic - 1836 - 370 pages
...new diameter A'X'. PROPOSITION VII. THEOREM. The parameter of any diameter is equal to four times ike **distance from the vertex of that diameter to the directrix,...four times the distance from the vertex to the focus.** Y' We have, from the last scholium, But the equation which determined the direction of the new axis... | |
| Bewick Bridge - Conic sections - 1836 - 148 pages
...(22) eg" =4SP XP#=4SP XSP = 4SP3. Hence 46c3=4SP=, and J6c =2SP, or be =4SP; that is, the parameter to **any diameter is equal to four times the distance from the vertex of that diameter to the** focus. (25.) COR. Hence QV3=(4SPxPV=)6cxPV; and since be is constant with respect to the same diameter,... | |
| Mathematics - 1836 - 488 pages
...terminated both ways by the curve ; or every diameter bisects its double ordinales. 8. The parameter to **any diameter is equal to four times the distance from the vertex of that diameter to the** focus. COR. The square of the ordinate is equal to the parameter into the abscissa.. 9. If a diameter... | |
| Alexander Jamieson - Fluid mechanics - 1837 - 516 pages
...curve, we have D p = \p ; therefore, by addition, it is But since by the property of the parabola, **the parameter of any diameter, is equal to four times the distance** between the vertex of that diameter and the focus, we have P and by the equation to the curve, it is... | |
| Charles Davies - Geometry, Analytic - 1838 - 366 pages
...-fji or its equal 2p', is called the parameter of the new diameter A'X!. PROPOSITION VII. THEOREM. **The parameter of any diameter is equal to four times...four times the distance from the vertex to the focus.** Y' We have, from the last scholium, But the equation which determined the direction of the new axis... | |
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