Difference between revisions of "User:5849206328x"

Latest revision as of 16:35, 1 June 2023

$[asy] size(216); draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5)); label("$ct$",(0,10),N); label("$x$",(10,0),E); label("$ct'$",(5,10),N); label("$x'$",(10,5),E); dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue); label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue); [/asy]$

$[asy] size(216); pair[] nodes; for (int i = 0; i < 10; ++i) { nodes.push(dir(36 * i)); dot(dir(36 * i)); label(string(i), 1.1 * dir(36 * i)); } draw(circle(nodes[0] - 0.1, 0.1), Arrow); draw(nodes[1] -- nodes[7], Arrow); draw(nodes[2] -- nodes[4], Arrow); draw(nodes[3] -- nodes[1], Arrow); draw(nodes[4] -- nodes[8], Arrow); draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow); draw(nodes[6] -- nodes[2], Arrow); draw(nodes[7] -- nodes[9], Arrow); draw(nodes[8] -- nodes[6], Arrow); draw(nodes[9] -- nodes[3], Arrow); [/asy]$

$[asy] unitsize (1 cm); pair A, B, C; A = (3,2); B = intersectionpoint(arc(A,4,200,340),C--(10,0)); C = (0,0); draw(B--A--C--(8,0), Arrow(6)); draw(arc(A,4,200,340), dashed); label("$A$", A, N); label("$B$", B, SE); label("$C$", C, NNW); label("$b$", (A + C)/2, NW); label("$c$", (A + B)/2, NE); label("$\theta$", (1,0.3)); [/asy]$

Page

Toolbox

Search

Difference between revisions of "User:5849206328x"

Latest revision as of 16:35, 1 June 2023

@@ Line 1: / Line 1: @@
 <asy>
-// scale the image
+size(216);
-unitsize(126);
-pair A, B, L, P, T;
+draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
-A = dir(195); L = dir(270); B = dir(345); dot(A); dot(B); dot(L);
+label("$ct$",(0,10),N); label("$x$",(10,0),E);
-draw(A--B);
+label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
-draw(circumcircle(A,B,L));
-P = (2*A + B)/3; dot(P);
+dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
-T = intersectionpoints(circumcircle(A,B,L),L--(L + 100*(P - L)))[0]; dot(T);
+label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
-draw(circumcircle(T,P,P+(0.0000001,0)));
+</asy>
-draw(L--T);
-label("$A$",A,NE);
+<asy>
-label("$B$",B,NE);
+size(216);
-label("$L$",L,NE);
-label("$P$",P,NE);
+pair[] nodes;
-label("$T$",T,NNW);
+for (int i = 0; i < 10; ++i) {
+  nodes.push(dir(36 * i));
+  dot(dir(36 * i));
+  label(string(i), 1.1 * dir(36 * i));
+}
+draw(circle(nodes[0] - 0.1, 0.1), Arrow);
+draw(nodes[1] -- nodes[7], Arrow);
+draw(nodes[2] -- nodes[4], Arrow);
+draw(nodes[3] -- nodes[1], Arrow);
+draw(nodes[4] -- nodes[8], Arrow);
+draw(arc(nodes[5] + 0.1, 0.1, 180, 540), Arrow);
+draw(nodes[6] -- nodes[2], Arrow);
+draw(nodes[7] -- nodes[9], Arrow);
+draw(nodes[8] -- nodes[6], Arrow);
+draw(nodes[9] -- nodes[3], Arrow);
+</asy>
+<asy>
+unitsize (1 cm);
+pair A, B, C;
+A = (3,2);
+B = intersectionpoint(arc(A,4,200,340),C--(10,0));
+C = (0,0);
+draw(B--A--C--(8,0), Arrow(6));
+draw(arc(A,4,200,340), dashed);
+label("$A$", A, N);
+label("$B$", B, SE);
+label("$C$", C, NNW);
+label("$b$", (A + C)/2, NW);
+label("$c$", (A + B)/2, NE);
+label("$\theta$", (1,0.3));
 </asy>