Difference between revisions of "Users:Orange Quail 9"

Line 3: Line 3:
 
size(300);
 
size(300);
 
pair A, B, C, D, A1, B1, C1, D1, P, Q;
 
pair A, B, C, D, A1, B1, C1, D1, P, Q;
A = (-250,6*sqrt(731));
+
A = (-200,100);
B = (250,6*sqrt(731));
+
B = (0,100);
C = (325,-6*sqrt(731));
+
C = (200,100);
D = (-325,-6*sqrt(731));
+
D = (0,-300);
A1 = bisectorpoint(B,A,D);
 
B1 = bisectorpoint(A,B,C);
 
C1 = bisectorpoint(B,C,D);
 
D1 = bisectorpoint(A,D,C);
 
P = intersectionpoint(A--300*(A1-A)+A,D--300*(D1-D)+D);
 
Q = intersectionpoint(B--300*(B1-B)+B,C--300*(C1-C)+C);
 
draw(anglemark(P,A,B,1000),red);
 
draw(anglemark(D,A,P,1000),red);
 
draw(anglemark(A,B,Q,1000),red);
 
draw(anglemark(Q,B,C,1000),red);
 
draw(anglemark(P,D,A,1000),red);
 
draw(anglemark(C,D,P,1000),red);
 
draw(anglemark(Q,C,D,1000),red);
 
draw(anglemark(B,C,Q,1000),red);
 
 
add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red));
 
add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red));
 
add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red));
 
add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red));
Line 33: Line 19:
 
dot("$\hat{f}(i+1,j)$",C,1.5*dir(C),linewidth(4));
 
dot("$\hat{f}(i+1,j)$",C,1.5*dir(C),linewidth(4));
 
dot("$\hat{f}(i,j+1)$",D,1.5*dir(D),linewidth(4));
 
dot("$\hat{f}(i,j+1)$",D,1.5*dir(D),linewidth(4));
draw(A--B--C--D--cycle^^A--P--D^^B--Q--C^^P--Q);
+
draw(A--B--C--D--cycle);
label("$500$",midpoint(A--B),1.25N);
 
label("$650$",midpoint(C--D),1.25S);
 
label("$333$",midpoint(A--D),1.25W);
 
label("$333$",midpoint(B--C),1.25E);
 
 
</asy>
 
</asy>

Revision as of 23:52, 6 October 2024

[asy] /* Made by MRENTHUSIASM */ size(300); pair A, B, C, D, A1, B1, C1, D1, P, Q; A = (-200,100); B = (0,100); C = (200,100); D = (0,-300); add(pathticks(anglemark(P,A,B,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(D,A,P,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(A,B,Q,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(Q,B,C,1000), n = 1, r = 0.15, s = 750, red)); add(pathticks(anglemark(P,D,A,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(C,D,P,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(Q,C,D,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); add(pathticks(anglemark(B,C,Q,1000), n = 2, r = 0.12, spacing = 150, s = 750, red)); dot("$\hat{f}(i-1,j)$",A,1.5*dir(A),linewidth(4)); dot("$\hat{f}(i,j)$",B,1.5*dir(B),linewidth(4)); dot("$\hat{f}(i+1,j)$",C,1.5*dir(C),linewidth(4)); dot("$\hat{f}(i,j+1)$",D,1.5*dir(D),linewidth(4)); draw(A--B--C--D--cycle); [/asy]