Difference between revisions of "User:5849206328x"

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<asy>
 
<asy>
import slopefield;
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size(216);
  
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
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draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
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label("$ct$",(0,10),N); label("$x$",(10,0),E);
 +
label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
  
// Label f;
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dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
// f.p=fontsize(6);
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label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
// xaxis(-1,2);
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</asy>
// yaxis(-1,2);
 
  
// real f1(real x) { return 3/2 * sin(pi/4 * (x - 1)) + 1/2; }
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<asy>
 +
size(216);
  
// draw(graph(f1,-1,2),MidArrow);
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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>
  
fill((-1,0)--(1,0)--(1,0.1)--(-1,0.1)--cycle,lightgray);
+
<asy>
draw((-1,0)--(1,0)); draw((0,0)--(0,-1),dashed);
+
unitsize (1 cm);
draw((0,0)--(1/3,-2/3)); dot((1/3,-2/3));
 
draw((0,-2/3)--(1/3,-2/3),dashed);
 
  
draw((2/3,-1/3)--(2/3,-1/2),EndArrow);
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pair A, B, C;
label("$g$",(2/3,-5/12),E);
+
 
label("$l$",(1/6,-1/3),NE);
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A = (3,2);
label("$d$",(1/6,-2/3),S);
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B = intersectionpoint(arc(A,4,200,340),C--(10,0));
label("$m$",(1/3,-2/3),E);
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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>
 
</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]