Difference between revisions of "User:5849206328x"

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(11 intermediate revisions by the same user not shown)
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size(216);
 
size(216);
  
real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
+
draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
+
label("$ct$",(0,10),N); label("$x$",(10,0),E);
 +
label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
  
//xaxis(-1,5);
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dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
//yaxis(-1,5);
+
label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
 +
</asy>
  
//real f(real x) { return abs(x); }
+
<asy>
 +
size(216);
  
draw((2,3)--(0,0)--(4,0),Arrows); draw((0,0)--(2,0),EndArrow); draw((2,0)--(2,3),dashed); draw(rightanglemark((4,0),(2,0),(2,3),4));
+
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>
  
label("$\mathbf{a}$",(4,0),E); label("$\mathbf{b}$",(2,3),NE); label("$\mathbf{b}_{\parallel}$",(2,0),S); label("$\theta$",(0.3,0.1),NE);
+
<asy>
 +
unitsize (1 cm);
  
//limits((-1,-4),(6,6),Crop);
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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>
 
</asy>

Latest revision as of 17:35, 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]