User contributions
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- 18:12, 8 November 2007 (diff | hist) . . (+36) . . m 2006 AMC 12A Problems/Problem 17
- 18:11, 8 November 2007 (diff | hist) . . (+397) . . N File:AMC12 2006A 17.png (defaultpen(fontsize(10)); pair A=(0,3), B=(0,0), C=(3,0), D=(3,3), E=(3+5/3/sqrt(2),3+5/3/sqrt(2)), F; F=A+sqrt(9+5*sqrt(2))*expi(atan(5/(3*sqrt(2))/(3+(5/3/sqrt(2))))+atan(5/(3*sqrt(9+5*sqrt(2))))); draw(A--B--C--D--A);draw(A--F);draw(circle(E,5/3)); dot) (current)
- 17:49, 8 November 2007 (diff | hist) . . (-1) . . m 2006 AMC 12A Problems/Problem 17 (→Solution)
- 15:38, 8 November 2007 (diff | hist) . . (+1,475) . . Lucas' Theorem
- 10:22, 8 November 2007 (diff | hist) . . (+804) . . m Lucas' Theorem (→Proof)
- 09:50, 8 November 2007 (diff | hist) . . (+480) . . N Lucas' Theorem (New page: Let <math>p</math> be a prime. If <math>(\overline{n_mn_{m-1}\cdots n_0})_p</math> is the base <math>p</math> representation of <math>n</math> and <math>(\overline{i_mi_{m-1}\cdots i_0})_p...)
- 09:29, 8 November 2007 (diff | hist) . . (0) . . m Euler's totient function (→Formulas)
- 09:25, 8 November 2007 (diff | hist) . . (+31) . . m Euler's totient function (→Formulas)
- 09:15, 8 November 2007 (diff | hist) . . (-10) . . m Fermat's Little Theorem
- 20:45, 6 November 2007 (diff | hist) . . (+247) . . m Circumradius
- 15:29, 5 November 2007 (diff | hist) . . (+9) . . m Excircle (→Introductory)
- 19:56, 4 November 2007 (diff | hist) . . (+2) . . m Combination (→Formulas/Identities)
- 11:49, 4 November 2007 (diff | hist) . . (+1) . . m Roots of unity (→Uses of roots of unity)
- 20:10, 3 November 2007 (diff | hist) . . (+29) . . m Combination (→See also)
- 19:58, 3 November 2007 (diff | hist) . . (+164) . . Combination
- 19:43, 3 November 2007 (diff | hist) . . (-336) . . 2002 AIME II Problems/Problem 2 (wrong problem...?)
- 19:39, 3 November 2007 (diff | hist) . . (+33) . . m 2002 AIME I Problems/Problem 2
- 19:37, 3 November 2007 (diff | hist) . . (0) . . N File:AIME 2002I Problem 02.png (current)
- 19:36, 3 November 2007 (diff | hist) . . (+42) . . m 2002 AIME I Problems/Problem 10
- 19:35, 3 November 2007 (diff | hist) . . (0) . . N File:AIME 2002I Problem 10.png (current)
- 19:32, 3 November 2007 (diff | hist) . . (+669) . . 1999 AIME Problems/Problem 15
- 19:29, 3 November 2007 (diff | hist) . . (0) . . File:AIME 1999 Solution 15 1.png (uploaded a new version of "Image:AIME 1999 Solution 15 1.png": defaultpen(fontsize(8)); pair A=(0,0), B=(16,24), C=(34,0), P=(8,12), Q=(25,12), R=(17,0); draw(A--B--C--A);draw(P--Q--R--P); draw(A--foot(A,B,C));draw(B--foot(B,A,C));draw(C--foot(C,A,B))) (current)
- 19:18, 3 November 2007 (diff | hist) . . (0) . . File:AIME 1999 Solution 15 1.png (uploaded a new version of "Image:AIME 1999 Solution 15 1.png": defaultpen(fontsize(8)); pair A=(0,0), B=(16,24), C=(34,0), P=(8,12), Q=(25,12), R=(17,0); draw(A--B--C--A);draw(P--Q--R--P); draw(A--foot(A,B,C));draw(B--foot(B,A,C));draw(C--foot(C,A,B)))
- 19:14, 3 November 2007 (diff | hist) . . (0) . . File:AIME 1999 Solution 15 1.png (uploaded a new version of "Image:AIME 1999 Solution 15 1.png": defaultpen(fontsize(8)); pair A=(0,0), B=(16,24), C=(34,0), P=(8,12), Q=(25,12), R=(17,0); draw(A--B--C--A);draw(P--Q--R--P); draw(A--foot(A,B,C));draw(B--foot(B,A,C));draw(C--foot(C,A,B)))
- 19:10, 3 November 2007 (diff | hist) . . (+231) . . N File:AIME 1999 Solution 15 2.png (import three; currentprojection=orthographic(1/2,-1,1/2); triple A=(0,0,0), B=(16,24,0), C=(34,0,0), P=(8,12,0), Q=(25,12,0), R=(17,0,0), S=(16,12,12); draw(A--B--C--A); draw(P--Q--R--P); draw(S--P..S--Q..S--R); draw(S--(16,12,0));) (current)
- 19:10, 3 November 2007 (diff | hist) . . (+164) . . N File:AIME 1999 Solution 15 1.png (pair A=(0,0), B=(16,24), C=(34,0), P=(8,12), Q=(25,12), R=(17,0); draw(A--B--C--A);draw(P--Q--R--P); draw(A--foot(A,B,C));draw(B--foot(B,A,C));draw(C--foot(C,A,B));)
- 18:40, 3 November 2007 (diff | hist) . . (+120) . . m 1991 AIME Problems/Problem 4
- 18:34, 3 November 2007 (diff | hist) . . (+268) . . N File:AIME 1991 Solution 04.png (size(225,150,IgnoreAspect); defaultpen(fontsize(8)); real f(real x) {return log(x)/log(2)/5;} real g(real x) {return sin(5*pi*x);} pair F(real x) {return (x,f(x));} xaxis("$x$",LeftTicks); yaxis("$y$",ymax=2); draw(graph(f,0.00002,3),red);draw(graph(g,0.0) (current)
- 18:11, 3 November 2007 (diff | hist) . . (+43) . . m 1991 AIME Problems/Problem 12 (→Solution)
- 18:10, 3 November 2007 (diff | hist) . . (0) . . File:AIME 1991 Solution 12.png (uploaded a new version of "Image:AIME 1991 Solution 12.png": defaultpen(fontsize(8)); pair A=(0,28.8), B=(38.4,28.8), C=(38.4,0), D=(0,0), O, P=(23.4,28.8), Q=(38.4,8.8), R=(15,0), S=(0,20); O=intersectionpoint(A--C,B--D); draw(A--B--C--D--cycle);draw) (current)
- 18:02, 3 November 2007 (diff | hist) . . (+419) . . N File:AIME 1991 Solution 12.png (defaultpen(fontsize(8)); pair A=(0,28.8), B=(38.4,28.8), C=(38.4,0), D=(0,0), O, P=(23.4,28.8), Q=(38.4,8.8), R=(15,0), S=(0,20); O=intersectionpoint(A--C,B--D); draw(A--B--C--D--cycle);draw(P--R..Q--S); draw(P--Q--R--S--cycle); label("A",A,NW);label("B",)
- 17:47, 3 November 2007 (diff | hist) . . (+108) . . 1988 AIME Problems/Problem 7
- 17:43, 3 November 2007 (diff | hist) . . (+243) . . N File:AIME 1988 Solution 07.png (defaultpen(fontsize(8)); pair A=(3,11), B=(20,0), C=(0,0), D=(3,0); draw(A--B--C--cycle); draw(A--foot(A,B,C)); label("A",A,NW);label("B",B,SE);label("C",C,SW);label("D",D,SE); label("$h$",A/2+D/2,E);label("$3$",D/2,S);label("$17$",B/2+D/2,S);) (current)
- 17:28, 3 November 2007 (diff | hist) . . (+1,001) . . N File:Excircle-1.png (pair A=(0,0), B=(5,4), C=(6,0), I, X1, Y1, X2, Y2, X3, Y3, P1, F1, P2, F2, P3, F3; draw(A--B--C--cycle); X1=expi((angle(B-A)+angle(C-B))/2); Y1=expi((angle(C-A)+angle(B-C))/2); P1=intersectionpoint(B--10*X1+B, C--10*Y1+C);F1=foot(P1, B, C); draw(circle(P1) (current)
- 20:51, 15 October 2007 (diff | hist) . . (+615) . . N 2004 AMC 10A Problems/Problem 20 (New page: ==Problem== Points <math>E</math> and <math>F</math> are located on square <math>ABCD</math> so that <math>\triangle BEF</math> is equilateral. What is the ratio of the area of <math>\tria...)
- 20:48, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 20.png (current)
- 20:45, 15 October 2007 (diff | hist) . . (+758) . . N 2004 AMC 10A Problems/Problem 23 (New page: ==Problem== Circles <math>A</math>, <math>B</math>, and <math>C</math> are externally tangent to each other and internally tangent to circle <math>D</math>. Circles <math>B</math> and <mat...)
- 20:42, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 23.png (current)
- 20:39, 15 October 2007 (diff | hist) . . (+697) . . N 2004 AMC 12A Problems/Problem 18 (New page: ==Problem== Square <math>ABCD</math> has side length 2. A semicircle with diameter <math>\overline{AB}</math> is constructed inside the square, and the tangent to the semicircle from <math...)
- 20:35, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 22.png (current)
- 20:32, 15 October 2007 (diff | hist) . . (+665) . . N 2004 AMC 10A Problems/Problem 21 (New page: ==Problem== Two distinct lines pass through the center of three concentric circles of radii 3, 2, and 1. The area of the shaded region in the diagram is <math>\frac{8}{13}</math> of the ar...)
- 20:29, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 21.png (current)
- 20:14, 15 October 2007 (diff | hist) . . (+500) . . N 2004 AMC 10A Problems/Problem 9 (New page: ==Problem== In the figure, <math>\angle EAB</math> and <math>\angle ABC</math> are right angles. <math>AB=4, BC=6, AE=8</math>, and <math>AC</math> and <math>BE</math> intersect at <math>D...)
- 20:12, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 9.gif (current)
- 20:08, 15 October 2007 (diff | hist) . . (-44) . . m 2004 AMC 10A Problems/Problem 5
- 20:07, 15 October 2007 (diff | hist) . . (+637) . . N 2004 AMC 10A Problems/Problem 5 (New page: ==Problem== A set of three points is randomly chosen from the grid shown. Each three point set has the same probability of being chosen. What is the probability that the points lie on the ...)
- 20:03, 15 October 2007 (diff | hist) . . (0) . . N File:AMC10 2004A 4.gif (current)
- 19:57, 15 October 2007 (diff | hist) . . (+157) . . m Arithmetic sequence (→Example Problems and Solutions)
- 19:52, 15 October 2007 (diff | hist) . . (+239) . . m Geometry/Resources
- 12:52, 14 October 2007 (diff | hist) . . (-226) . . m Ptolemy's Inequality (fixed typo)
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