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Difference between revisions of "User:5849206328x"

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#REDIRECT [http://www.artofproblemsolving.com/Wiki/index.php/Special:Random]
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<asy>
 +
size(216);
 +
 
 +
draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
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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) {
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  nodes.push(dir(36 * i));
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  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);
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B = intersectionpoint(arc(A,4,200,340),C--(10,0));
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C = (0,0);
 +
 
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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>

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]

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