User:5849206328x: Difference between revisions

Revision as of 12:46, 3 July 2014

$[asy] size(13cm); pair A1, B1, C1, D1; A1 = 2*dir(111) + (0,1); B1 = 2*dir(210) + (0,1); C1 = 2*dir(330) + (0,1); D1 = (0,-3); draw(circle((0,1),2)); draw(A1--B1--D1--C1--cycle); draw(A1--D1); draw(B1--C1); dot(A1); dot(B1); dot(C1); dot(D1); label("$A$",A1,NNW); label("$B$",B1,SW); label("$C$",C1,SE); label("$D$",D1,SE); pair A2, B2, C2, D2; A2 = 2*dir(111) + (5,-1); B2 = 2*dir(150) + (5,-1); C2 = 2*dir(30) + (5,-1); D2 = (5,3); draw(circle((5,-1),2)); draw(A2--B2--D2--C2--cycle); draw(A2--D2); draw(B2--C2); dot(A2); dot(B2); dot(C2); dot(D2); label("$A$",A2,NNW); label("$B$",B2,SW); label("$C$",C2,SE); label("$D$",D2,E); [/asy]$

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 <asy>
-// scale the image
+size(13cm);
-unitsize(126);
-pair A, B, L, P, T;
+pair A1, B1, C1, D1;
-A = dir(195); L = dir(270); B = dir(345); dot(A); dot(B); dot(L);
+A1 = 2*dir(111) + (0,1); B1 = 2*dir(210) + (0,1); C1 = 2*dir(330) + (0,1); D1 = (0,-3);
-draw(A--B);
+draw(circle((0,1),2));
-draw(circumcircle(A,B,L));
+draw(A1--B1--D1--C1--cycle); draw(A1--D1); draw(B1--C1);
+dot(A1); dot(B1); dot(C1); dot(D1);
+label("$A$",A1,NNW); label("$B$",B1,SW); label("$C$",C1,SE); label("$D$",D1,SE);
-P = (2*A + B)/3; dot(P);
+pair A2, B2, C2, D2;
-T = intersectionpoints(circumcircle(A,B,L),L--(L + 100*(P - L)))[0]; dot(T);
+A2 = 2*dir(111) + (5,-1); B2 = 2*dir(150) + (5,-1); C2 = 2*dir(30) + (5,-1); D2 = (5,3);
-draw(circumcircle(T,P,P+(0.0000001,0)));
+draw(circle((5,-1),2));
-draw(L--T);
+draw(A2--B2--D2--C2--cycle); draw(A2--D2); draw(B2--C2);
+dot(A2); dot(B2); dot(C2); dot(D2);
-label("$A$",A,NE);
+label("$A$",A2,NNW); label("$B$",B2,SW); label("$C$",C2,SE); label("$D$",D2,E);
-label("$B$",B,NE);
-label("$L$",L,NE);
-label("$P$",P,NE);
-label("$T$",T,NNW);
 </asy>

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User:5849206328x: Difference between revisions

Revision as of 12:46, 3 July 2014