Golden Ratio 1.618 in EP Calculation
Φ + 1 = Φ x Φ Φ (fii) = 1,618
Φ2 - Φ - 1 = 0 Φ2 = 2,618
Ratio of 2.618 is formed when an ellipse is drawn inside a circle, and relationship to each other has a Golden Ratio of 1.618. Pythagoras studied a circular shape, but gave up the shape of the difficulties of numbers. The ratio is linked to the strength formation of the load cases.
ax2 + bx + c = 0
x = -b ± SQRT (b2 - 4ac )
2a
a = 1
b = -1
c = -1
Φ = 1 ± SQRT ( 5)
2
Φ = 1,6180339887498948482045868343656
SQRT (5) = 2,2360679774997
1 + 2,2360679774997 = 1,61803398874989
2
1 - 2,2360679774997 = 0,61803398874989
2
Φ = 2 cos (Pii /5) (in radians)
Φ = 0,5 sec (2 pii / 5)
Φ = 0,5 csc (pii / 10)
Samaa tarkoittava suhdelaskenta
EP-Calculation
1.032 = 1.06 => 1.062 = 1.12 => 1.122 = 1.25 => 1.252 = 1.56 => 1,56 x 1,03 = 1.618 => 1.6182 = 2.618 => 2.618 -1 = 1.618 => 1.618 -1 = 0.618 => 0.618 x 1.618 = 1 => 0.618 / 1.618 = 0.382 => 0.382 + 0.618 = 1 => 4 x 1.618 /1.03 = 6.28 => 1.618 x 2 /1.03 = 3.14
Ratio of 1.618 is an interesting one, as the examples show. These do not need to learn. It is enough to be familiar with them. Fibonacci numbers will be later joined to the Golden Ratio. Golden ratio has shown interest to mathematicians for thousands of years, but the figures have not opened up a mystery by examining the figures. From point of view of products the relationships between numbers open in a new way. This requires only the knowledge of the products.
22.4.2015*12:00 (1072 - 222)
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