In[]:=
Example 1:
In[]:=
PointOfBrianchon[tri={{-2,5},{7,12},{9,-4}},{-30,30},{-30,30}]
Focus (​
X
101
​):
F(1.08374 , -2.74175)
Vertex:
V(2.60788 , 0.825841)
p parameter:
p = -3.87953
Latus rectum:
LL´
= 15.5181
Yff's parabola equation:
-370.534+36.1689x+13.4001
2
x
+251.945y-11.4495xy+2.44573
2
y
= 0
BrianchonPoint
X
190
{3.76842,-4.2789}
Out[]=
Example 2:
In[]:=
PointOfBrianchon[tri={{-3,-1},{1,4},{4,-4}},{-10,10},{-12,10}]
Focus (​
X
101
​):
F(-0.401255 , -4.46763)
Vertex:
V(-0.0841373 , -2.39705)
p parameter:
p = -2.09473
Latus rectum:
LL´
= 8.3789
Yff's parabola equation:
65.6444+2.34391x+3.2009
2
x
+27.4102y-0.98046xy+0.0750805
2
y
= 0
BrianchonPoint
X
190
{0.953578,-4.88013}
Out[]=
Example 3:
In[]:=
PointOfBrianchon[tri={{-4,-3},{3,-1},{-3,1}},{-10,10},{-10,12}]
Focus (​
X
101
​):
F(1.09017 , 1.51719)
Vertex:
V(0.0284884 , 0.23738)
p parameter:
p = 1.66285
Latus rectum:
LL´
= 6.65139
Yff's parabola equation:
9.07721-27.1525x+3.97412
2
x
-35.4555y-6.59356xy+2.73488
2
y
= 0
BrianchonPoint
X
190
{2.57079,0.302365}
Out[]=