I can find the fractions:
-0.333... → -1/3;
0.8333... → 5/6;
1.138888... → 41/36
[ see here ]
(x + 1/3)² + (y − 5/6)² = 41/36
[or: 3·x² + 3·y² + 2·x − 5·y − 1 = 0]
We can draw the circle with (possiamo tracciare il cerchio con) circle_2.
Let's check with (Controlliamo con) R:
source("http://macosa.dima.unige.it/r.R") x=c(3,0,3,2,-5,-1) Conic(x) # C1=function(x,y) 3 * x^2 + 0 * x*y + 3 * y^2 + 2 * x + -5 * y + -1 # circle xC = -0.3333333 yC = 0.8333333 R = 1.067187 PLANE(-2,1,-1,2) CURVE(C1,"red") POINT(-1/3,0.833333,"blue") fraction(R^2) # 41/36 # Or: F = function(x,y) 3*x^2 + 3*y^2 + 2*x - 5*y - 1 PLANE(-2,1,-1,2) CURVE(F,"brown") POINT(-1/3,0.833333,"blue")
With Desmos:
or: |
If the circle is a "point" and if it does not exist ("NaN" stands for "Not a Number"):