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Geometria2D`Conicas`
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Example 1:
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PointOfBrianchon[tri={{-2,5},{7,12},{9,-4}},{-30,30},{-30,30}]
BrianchonPoint
X
99
{3.13801,-3.91795}
The values of p and
LL´
are:
-3.80159
15.2064
Axis in x''
After the rotation the equation is:
-70.5524+39.486
´
x
+6.36862
´
y
+
145853
´2
y
56169
= 0
the rotation angle is:
θ = 69.6195°
After the translation the equation is:
39.486
´´
x
+
145853
´´2
y
56169
= 0
The coordinates of the new origin are:
´´
O
​(1.88566,-1.2263)
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Example 2:
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PointOfBrianchon[tri={{-3,-1},{1,4},{4,-4}},{-10,10},{-12,10}]
BrianchonPoint
X
99
{0.625488,-4.78023}
The values of p and
LL´
are:
-2.05341
8.21363
Axis in x''
After the rotation the equation is:
10.1842+4.39519
´
x
-0.252818
´
y
+
21277
´2
y
39762
= 0
the rotation angle is:
θ = 83.5985°
After the translation the equation is:
4.39519
´´
x
+
21277
´´2
y
39762
= 0
The coordinates of the new origin are:
´´
O
​(-2.31033,0.23623)
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Example 3:
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PointOfBrianchon[tri={{-4,-3},{3,-1},{-3,1}},{-10,10},{-10,10}]
BrianchonPoint
X
99
{2.28285,0.538616}
The values of p and
LL´
are:
1.64743
6.58973
Axis in x''
After the rotation the equation is:
0.694444-7.28943
´
x
-1.73604
´
y
+
3365
´2
y
3042
= 0
the rotation angle is:
θ = 45.9878°
After the translation the equation is:
-7.28943
´´
x
+
3365
´´2
y
3042
= 0
The coordinates of the new origin are:
´´
O
​(0.00182574,0.784701)
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