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Geometria2D`Conicas`
In[]:=
In the command below, type the new coordinates of the points. You can also change the extension to X and Y. Evaluate the notebook.
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MandartInellipse[tri={{-2,5},{7,12},{9,-4}},{-20,20},{-20,20}]
NagelPointMine
NagelPointMathematica
Mittenpunkt
{5.86106,3.14984}
{5.86106,3.14984}
{5.30618,3.89181}
Mandart's inellipse equation:
73.5856-25.7884x+2.06331
2
x
-9.99384y+xy+0.602246
2
y
0
Los valores de a, b, c,
LL´
y e son:
5.64886
2.53738
5.04692
2.2795
0.89344
Eje mayor en y''
Después de la rotación la ecuación es:
73.5856-27.5901
´
x
+2.21803
´2
x
-1.9237
´
y
+0.447523
´2
y
= 0
El ángulo de rotación es:
θ = 17.1945°
Después de la traslación la ecuación es:
-14.2803+2.21803
´´2
x
+0.447523
´´2
y
= 0
Las coordenadas del nuevo origen son:
´´
O
​(6.21951,2.14928)
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Mandart's inellipse
Exinscribed circumferences
Lines from the tangent point to the opposite vertex
Lines that go form the center of each exinscribed circle and pass through the midpoints of the base triangle
Base triangle
Excentral triangle
Mittenpunkt
Tangency points with each exinscribed circle
Points obtained with the tangent points of the exinscribed circles and the mittenpunkt using the property f the midpoint with the diameter
Midpoints