Top 10.409

tan AEF = 1 / 2 = 0.5

CE / BE = 0.809016994375

Red Area = 6

Blue / Total = 1 / 4

α = BAC = 30°

Shaded Area = 40 / 11

Blue Area = 11.334246894

Green = 18.8495559215

Orange = 7.2360679775

Circle Area = 3.14159265359

Top 10.408

X = BM = 29

X = MN = BN = 12

Shaded Fraction = 51 / 200

R = ϕ = 1.61803398875

Blue Area = 14.4337567297

Collinearity of Red Points

Proof that GCH = AKD

CD = 12

BT = 5.29150262213

Red Area = 100

Top 10.407

Circle Area = 267.035375555

Circle Area = 267.035375555

sin ( 3 ω ) • sin ω = 1 / 4

Blue Area = 1.61803398875

Constructed

Green / Red = 0.75 = 3 / 4

Yellow / Red = 1.2414528668

BEP + BCL = 90°

Blue Area = 50 Square Units

X = 14 / 3 = 4.66666666667

Angle ABD = 30°

Top 10.406

BE = 117

Ratio of X / Y = 0.5 = 1 / 2

Purple Fraction = 1 / 7

Line Segment AF = 6

Blue Area = 72 Sq. Units

Ratio of a : b : c = 5 : 6 : 7

Cos CBF = 4 / 5 = 0.8

Proof of Cyclicity

Blue Area = 19.2355221073

BD = 6

Top 10.405

Green Area = 12

Blue Area = 19 Square Units

Ratio of a : b = 3 : 2

Yellow / Blue = 0.5 = 1 / 2

ABCD = 12 ^ 2 = 144

BO = 2.82842712475

Red = 6.28318530718

X = BCD = 40°

Pink / Green = 1

Yellow / Total = 0.25 = 1 / 4