Art of Problem Solving

User:5849206328x: Difference between revisions

5849206328x (talk | contribs)
mNo edit summary
5849206328x (talk | contribs)
mNo edit summary
Line 1: Line 1:
<asy>
<asy>
// scale the image
// scale the image
size(4inch);
unitsize(108);


// define points
pair A, B, C, I, L, Ia;
// pair A
A = dir(111); B = dir(207); C = dir(333); dot(A); dot(B); dot(C);
// A =  
draw(A--B--C--cycle);
draw(circumcircle(A,B,C));


// dot points
I = incenter(A,B,C); dot(I);
// dot(A);
draw(circumcircle(B,I,C),dashed);
L = intersectionpoints(circumcircle(A,B,C),A--(A + 100 * (I - A)))[1]; dot(L);
Ia = intersectionpoints(circumcircle(B,I,C),A--(A + 100 * (I - A)))[1]; dot(Ia);
draw(A--Ia);


// define paths
label("$A$",A,NE);
// path p
label("$B$",B,WNW);
// p =
label("$C$",C,ENE);
 
label("$I$",I,NE);
// draw paths
label("$L$",L,NE);
// draw(p)
label("$I_a$",Ia,NNE);
 
// define labels
// Label a = Label(string)
 
// draw labels
// label(scale()*a,(x,y))
 
draw((-2,0)--(5,0),Arrows);
dot((3,0),red);
dot((2,0),green);
dot((-1,0),blue);
</asy>
</asy>

Revision as of 18:33, 2 July 2014

[asy] // scale the image unitsize(108);  pair A, B, C, I, L, Ia; A = dir(111); B = dir(207); C = dir(333); dot(A); dot(B); dot(C); draw(A--B--C--cycle); draw(circumcircle(A,B,C));  I = incenter(A,B,C); dot(I); draw(circumcircle(B,I,C),dashed); L = intersectionpoints(circumcircle(A,B,C),A--(A + 100 * (I - A)))[1]; dot(L); Ia = intersectionpoints(circumcircle(B,I,C),A--(A + 100 * (I - A)))[1]; dot(Ia); draw(A--Ia);  label("$A$",A,NE); label("$B$",B,WNW); label("$C$",C,ENE); label("$I$",I,NE); label("$L$",L,NE); label("$I_a$",Ia,NNE); [/asy]