# Manuals/calci/GOLDENRATIO

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**GOLDENRATIO(phiSmall)**

- where is the logical value TRUE or FALSE.
- GOLDENRATIO() returns the ratio of the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

## Description

- Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
- Golden ratio is represented as
**φ(phi or Smallphi)**and its conjugate is represented as**Φ(Phi or capitalphi)**. - If 'a' and 'b' are two quantities with 'a>b', then

φ = =

- Using quadratic formula, golden ratio is represented as -

= = 1.618033988749895

= = -0.6180339887498948 (Absolute value 0.6180339887498948 is considered as capitalphi)

- Argument can be logical values TRUE (or 1) or FALSE (or 0). Any other argument values are ignored and Calci assumes it to be TRUE or 1.
- If argument is omitted, Calci assumes it as TRUE or 1 and displays the output as
*0.6180339887498948*. - If argument is invalid, Calci returns a #NULL error message.

## Examples

GOLDENRATIO(TRUE) *returns 0.6180339887498948*, value of capitalphi Φ

GOLDENRATIO(1) *returns 0.6180339887498948*, value of capitalphi Φ

GOLDENRATIO(FALSE) *returns 1.618033988749895*, value of smallphi φ

GOLDENRATIO() *returns 0.6180339887498948*, value of capitalphi Φ

## Related Videos

## See Also

## References