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>
-size(288);
+size(216);
-pair A, B, C, D;
+draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
-A = (0,0); B = (5,0); C = (7,4); D = (2,4);
+label("$ct$",(0,10),N); label("$x$",(10,0),E);
-draw((-1,0)--(8,0)); draw((-1,4)--(8,4)); draw((-1,-2)--(3,6)); draw((4,-2)--(8,6));
+label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
-draw((-1,-4/7)--(8,32/7)); draw((13/2,-2)--(1/2,6));
-dot(A); dot(B); dot(C); dot(D);
+dot((0,3),blue); dot((3,6),blue); draw((0,3)--(3,6),blue);
-label("$A$",A,NW); label("$B$",B+(0,-1/5),S); label("$C$",C,SE); label("$D$",D+(0,1/5),N);
+label("$ct_1$",(0,3),W,blue); label("$ct_2'$",(3,6),NW,blue);
-label("$64^\circ$",D+(1/10,-1/2),S); label("$34^\circ$",(-7/10,-11/14));
-label("$x$",(5/2,15/4)); label("$y$",(25/4,15/4)); label("$z$",(3,2));
 </asy>
 <asy>
-size(288);
+size(216);
-real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353;
-real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;
-xaxis(-3,11);
-yaxis(-2,12);
-real f(real x) { return (x/2 + 1) * (x/2 - 2) * (x/2 - 3); }
+pair[] nodes;
+for (int i = 0; i < 10; ++i) {
-draw(graph(f,-3,11)); draw((0,6)--(8,10));
+  nodes.push(dir(36 * i));
+  dot(dir(36 * i));
-dot((0,6)); dot((8,10)); dot((-2,0)); dot((4,0)); dot((6,0));
+  label(string(i), 1.1 * dir(36 * i));
-label("$A$",(0,6),NW); label("$B$",(8,10),E); label("$(-1,0)$",(-2,0),SE); label("$(2,0)$",(4,0),SW); label("$(3,0)$",(6,0),SE);
+}
+draw(circle(nodes[0] - 0.1, 0.1), Arrow);
-limits((-3,-3),(11,12),Crop);
+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>
-import three; import graph3;
+unitsize (1 cm);
-currentprojection=orthographic(4,-4,1);
-size(288);
+pair A, B, C;
-//xaxis3("$A$",0,3);
+A = (3,2);
-//yaxis3("$A'$",0,3);
+B = intersectionpoint(arc(A,4,200,340),C--(10,0));
-zaxis3("$\hat{\mathbf{n}}$",0,1);
+C = (0,0);
-draw((3,0,0)--(0,4,0)--(-3,0,0)--(0,-4,0)--cycle); draw((1,0,1)--(0,0,0)--(1,0,-1)); draw((0,0,0)--(1,0,0)); draw((1,0,1)--(1,0,-1),dashed);
+draw(B--A--C--(8,0), Arrow(6));
+draw(arc(A,4,200,340), dashed);
-label("$\mathbf{x}$",(1,0,1),E); label("$\mathbf{x}'$",(1,0,-1),E);
+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>