Excenter
Excenter
Load Eos
Load Eos
<<"EosHeader.m"
In[]:=
Excenter
Excenter
For any triangle ΔABE, the angle bisectors of the three angles ∡E, π-∡A and π-∡B meet at the same point I.
Point I is called the excenter of ΔEAB.
EosSession["Excenter"];
In[]:=
NewOrigami[8,MarkPoints{"A0","B0","C0","D0"}]
In[]:=
Excenter: Step 1
Out[]=
NewPoint[{"E"{4,7.2},"A"{3,4},"B"{6.5,4}}]
In[]:=
Excenter: Step 1
Out[]=
triangle={Red,Thick,Line[{"E","A","B","E"}]};
In[]:=
ShowOrigami[Moretriangle]
In[]:=
Excenter: Step 1
Out[]=
HO["AE",Mark{{"A0B0","E0"}}]!
In[]:=
Excenter: Step 3
Out[]=
HO["AE","AB"]
In[]:=
Excenter: Step 3
,
Out[]=
HO["AE","AB",FoldLine2,Mark{{"A0B0","F"}}]!
In[]:=
Excenter: Step 5
Out[]=
HO["BE",Mark{{"C0B0","G"}}]!
In[]:=
Excenter: Step 7
Out[]=
HO["BA","BE"]
In[]:=
Excenter: Step 7
,
Out[]=
HO["BA","BE",FoldLine1,Mark{{"AF","I"}}]!
In[]:=
Excenter: Step 9
Out[]=
HO["AE","BE"]
In[]:=
Excenter: Step 9
,
Out[]=
HO["AE","BE",FoldLine2]!
In[]:=
Excenter: Step 11
Out[]=
HO["E0E","I",Mark{{"E0E","E1"}}]!
In[]:=
Excenter: Step 13
Out[]=
HO["EG","I",Mark{{"EG","G1"}}]!
In[]:=