Difference between revisions of "User:5849206328x"

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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Difference between revisions of "User:5849206328x"

Latest revision as of 16:35, 1 June 2023

@@ Line 1: / Line 1: @@
-{| class="wikitable" style="clear:both; margin:0.5em auto; font-size:95%; border:1px solid black;"
+<asy>
-| style="background:#ccf;text-align:center;" colspan="3" | '''[[{{{year}}} USAMO]]''' ('''[[{{{year}}} USAMO Problems|Problems]]''') • [http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=27&year={{{year}}} Resources])
+size(216);
-|-
-|width="33%" align="center" |{{{beforetext|Preceded&nbsp;by<br/>}}}'''{{{before|[[{{{year}}} USAMO Problems/Problem {{{num-b}}}|Problem {{{num-b}}}]]}}}'''
+draw((0,10)--(0,0)--(10,0)); draw((5,10)--(0,0)--(10,5));
-|width="34%" style="text-align:center;" | [[{{{year}}} USAMO Problems/Problem 1|1]] '''•''' [[{{{year}}} USAMO Problems/Problem 2|2]] '''•''' [[{{{year}}} USAMO Problems/Problem 3|3]] '''•''' [[{{{year}}} USAMO Problems/Problem 4|4]] '''•''' [[{{{year}}} USAMO Problems/Problem 5|5]]
+label("$ct$",(0,10),N); label("$x$",(10,0),E);
-|width="33%" align="center" rowspan="{{{rowsf|1}}}" | {{{aftertext|Followed&nbsp;by<br/>}}}'''{{{after|[[{{{year}}} USAMO Problems/Problem {{{num-a}}}|Problem {{{num-a}}}]]}}}'''
+label("$ct'$",(5,10),N); label("$x'$",(10,5),E);
-|-
-| align="center" colspan="3" | '''[[USAMO Problems and Solutions | All USAMO Problems and Solutions]]'''
+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>