63ee5156-bf6a-4db4-b8de-3fc1d7ff1d91 21 6 9 decimal

&[DATE] &[TIME] - &[FILENAME]

Implicit plot in Smath

a 2 : b 0.5 : xc 0 : yc 0 : 41 line

x y ellipse x xc - a 2^/ (2^y yc - b 2^/ (2^+ (1 - :

ellipse

ellipse(x,y) is a ypical implicit plot, a short form of the more general equation of the family of "Quadrics". This form is the contour plot @ datum = 0 For other contour(s), vary '1' respecting the aspect ratio.

x xc - a 2^/ (2^y yc - b 2^/ (2^+ (1 - 0 ≡

R 1 :

level 0.25 :

α 2 :

x y Doublet y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / :

x y Doublet_1 y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / level + :

x y Doublet_3 y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / α level * + :

x y Doublet_2 y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / level - :

x y Doublet_4 y R 2^- x 2^+ y 2^+ (* x 2^y 2^+ / α level * - :

plot Doublet Doublet_1 Doublet_2 Doublet_3 Doublet_4 51 sys :

plot