Difference between revisions of "User:5849206328x"

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$", (1,0.3)); [/asy]$

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Difference between revisions of "User:5849206328x"

Latest revision as of 17:35, 1 June 2023

@@ Line 1: / Line 1: @@
 <asy>
-import slopefield;
+size(216);
-size(288);
+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);
-real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
+dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
-real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
+label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
+</asy>
-//xaxis(0,5);
+<asy>
-//yaxis(-2,3);
+size(216);
-//real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
-pair g(real t) { return (20/13,48/13) + (1.5 * cos(pi * t/180), -1.5 * sin(pi * t/180)); }
-fill((-12,5)--(-12,3)--(48/5,-5)--(12,-5)--cycle,palegrey); draw((-12,5)--(12,-5)--(2,-5),linewidth(2)); draw(circle((20/13,48/13),4));
-dot((20/13,48/13)); draw(graph(g,0,90),EndArrow); draw((92/13,18/13)--(116/13,8/13),EndArrow);
-label("$\alpha$",(9,-5),N); label("$\omega$",(20/13 + 3*sqrt(2)/4,48/13 - 3*sqrt(2)/4),SE); label("$v$",(116/13,8/13),ESE);
-//limits((-25,-25),(50,25),Crop);
+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>
-<!--
-D graphs
 <asy>
-import graph3;
+unitsize (1 cm);
-import three;
-size(288);
-real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
+pair A, B, C;
-real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-currentprojection=orthographic(2,-2,1);
+A = (3,2);
-xaxis3("$x$",0,5);
+B = intersectionpoint(arc(A,4,200,340),C--(10,0));
-yaxis3("$y$",0,5);
+C = (0,0);
-zaxis3("$z$",0,5);
-//real f(real x) { return 3 * (-1/x + 1/(2*x^2)); }
+draw(B--A--C--(8,0), Arrow(6));
-//triple g(real t) { return (2 * cos(pi * t/180), 2 * sin(pi * t/180), 2.5); }
+draw(arc(A,4,200,340), dashed);
-//triple rot(real t) { return (0.2 * cos(pi * t/180), 0.2 * sin(pi * t/180), 4.5); }
-draw(scale(3,2,2)*unitdisk,palegrey); draw(graph(rot,-180,93),EndArrow3);
+label("$A$", A, N);
-draw((0,0,5)--(0,0,0)); draw((0,5,0)--(0,0,0)); draw((5,0,0)--(0,0,0));
+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>
--->