Difference between revisions of "User:Emerald block"

(Created page with "hi")
 
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hi
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Hi! Welcome to my user page. There's not much here right now, but please enjoy this diagram of a ruler-and-compass construction of a pentagon.
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<asy>
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import geometry;
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unitsize(2cm);
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pair O,R,M;
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O = (0,0);
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dot(O);
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label("$O$",O,SW);
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R = (0,2);
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dot(R);
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label("$R$",R,NE);
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draw(circle(O,distance(O,R)));
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draw(O--R);
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draw(O-1.5(R-O)--O+1.5(R-O),dashed,Arrows);
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draw(rotate(90,O)*(O-1.5(R-O)--O+1.5(R-O)),red+dashed,Arrows);
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markscalefactor=.02;
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draw(rightanglemark(R,O,rotate(-90,O)*R),red);
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draw(O--rotate(-90,O)*R,invisible,StickIntervalMarker(2,1,red));
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M = (O+rotate(-90,O)*R)/2;
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dot(M,red);
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draw(circle(M,distance(O,M)),green);
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draw(M+(M-rotate(180,O)*R)--rotate(180,O)*R+.5(rotate(180,O)*R-M),green+dashed,Arrows);
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draw(circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M)),blue);
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draw(circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M)),blue);
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draw(R
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--intersectionpoint(R..rotate(90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M)))
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--intersectionpoint(R..rotate(90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M)))
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--intersectionpoint(R..rotate(-90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M)))
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--intersectionpoint(R..rotate(-90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M)))
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--cycle,linewidth(1.5));
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</asy>

Revision as of 22:51, 10 January 2020

Hi! Welcome to my user page. There's not much here right now, but please enjoy this diagram of a ruler-and-compass construction of a pentagon. [asy] import geometry; unitsize(2cm); pair O,R,M;  O = (0,0); dot(O); label("$O$",O,SW);  R = (0,2); dot(R); label("$R$",R,NE);  draw(circle(O,distance(O,R))); draw(O--R); draw(O-1.5(R-O)--O+1.5(R-O),dashed,Arrows);  draw(rotate(90,O)*(O-1.5(R-O)--O+1.5(R-O)),red+dashed,Arrows); markscalefactor=.02; draw(rightanglemark(R,O,rotate(-90,O)*R),red); draw(O--rotate(-90,O)*R,invisible,StickIntervalMarker(2,1,red)); M = (O+rotate(-90,O)*R)/2; dot(M,red);  draw(circle(M,distance(O,M)),green); draw(M+(M-rotate(180,O)*R)--rotate(180,O)*R+.5(rotate(180,O)*R-M),green+dashed,Arrows);  draw(circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M)),blue); draw(circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M)),blue);  draw(R --intersectionpoint(R..rotate(90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M))) --intersectionpoint(R..rotate(90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M))) --intersectionpoint(R..rotate(-90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)-distance(O,M))) --intersectionpoint(R..rotate(-90,O)*R..rotate(180,O)*R,circle(rotate(180,O)*R,distance(M,rotate(180,O)*R)+distance(O,M))) --cycle,linewidth(1.5)); [/asy]

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