Difference between revisions of "Manuals/calci/GOLDENRATIO"
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− | =GOLDENRATIO( | + | <div style="font-size:30px">'''GOLDENRATIO(phiSmall)'''</div><br/> |
− | |||
*where <math>phiSmall</math> is the logical value TRUE or FALSE. | *where <math>phiSmall</math> 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. | |
− | 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 == | == Description == |
Latest revision as of 17:25, 17 August 2018
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
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