 | John Radford Young - 1830 - 342 σελίδες
...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 - 1830 - 390 σελίδες
...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 - 1834 - 272 σελίδες
...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 - 1834 - 240 σελίδες
...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 - 1835 - 298 σελίδες
...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 - 1836 - 370 σελίδες
...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 - 1836 - 148 σελίδες
...(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,... | |
 | 1836 - 488 σελίδες
...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 - 1837 - 516 σελίδες
...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 - 1838 - 366 σελίδες
...-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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THEOREM. The parameter of any diameter is equal to four times the distance from the vertex of that diameter to the directrix, or four times the distance from the vertex to the focus. Y... 
