central conic การใช้

• In 1953 Allen extended his study to a nine-point conic of a triangle inscribed in any central conic.
• An interesting hypothesis as to the Porisms was put forward by Apollonius's method of determining the foci of a central conic ( Conics, iii . 4547 with 42 ).
• By the principal axis theorem, the two eigenvectors of the matrix of the quadratic form of a central conic section ( ellipse or hyperbola ) are perpendicular ( major or minor axis of the conic.
• Descartes had also recognized these ovals as generalizations of central conics, because for certain values of " ? " these ovals reduce to the familiar central conics, namely, the circle, the ellipse or the hyperbola.
• Descartes had also recognized these ovals as generalizations of central conics, because for certain values of " ? " these ovals reduce to the familiar central conics, namely, the circle, the ellipse or the hyperbola.
• The " standard form " of the equation of a central conic section is obtained when the conic section is translated and rotated so that its center lies at the center of the coordinate system and its axes coincide with the coordinate axes.
• The vertices of a central conic can be determined by calculating the intersections of the conic and its axes & mdash; in other words, by solving the system consisting of the quadratic conic equation and the linear equation for alternately one or the other of the axes.