Golden Ruler
Golden Ruler

 Leonhard Euler's   eπ i + 1 = 0   has been called:

 “The most remarkable formula in mathematics”

Phi with Classic Family Members

Five Classic Symbols Figure into God's Cosmos

Ø

Ø = 2 cos (π/5)

Ø = ½ sec(2π/5)

Ø = ½ csc(π/10)

Ø = 2 cos(36°)

Ø = ½ sec(72°)

Ø = ½ csc(18°)

Ø = eπi/5 +e-πi/5

π = 5 cos-1(Ø/2)

 

π= -5i log(½(Ø+i(4-Ø2).5)

π

π = 180°

e = i-2i/π

eπi = -1

e2πi = 1

π = -i log(-1)

π = 2i log((1- i)/(1+i))

e = i-2i/π

eπi = -1

e2πi = 1

π = 1/36 cos-1(Ø/2)

 

π=-i/36 log(½(Ø+i(4-Ø2).5))

° = π/180

°

 

°= -i/180 log(-1)

°=1/90 i log((1- i)/(1+i))

e180°i =-1

e360°i = 1

Ø = eπi/5 +e-πi/5

e = i-2i/π

eπi = -1

e2πi = 1

e180°i = -1

e360°i = 1

e

 

e = i-2i/π

eπi = -1

e2πi = 1

i = -π/log(-1)

i =-180°/log(-1)

i-2i/π = e

eπi = -1

e2πi = 1

i

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