|
| |
Caption: Mathematical Models by Arnold Emch - Series 2 (1923) This is a reduced-resolution page image for fast online browsing.
EXTRACTED TEXT FROM PAGE:
23. Sextic. Represents the intersection of a cubic with sphere. Fig. 5. The equations are C=y(y2-3x2)-kz2 = 0. The cubic is symmetric with_respect to the z-plane and has the planes j = 0, y—\/3.x = 09 y + \ / 3 . x = 0 as tangent-planes along the y lines where these planes cut the #>'-plane. _ The sextic*? consists of 3 equal separate closed branches and its projection S' m a y also show all six double points as real. O n the other hand «? is seen to lie on four cubic cylinders. This model also offers good opportunity for the exhibition of the problem of tritangent-planes of the sextic Sy which is m a d e possible by the drawing of the curve on a transparent surface. I"]
| |