Difference between revisions of "Manuals/calci/GOLDENANGLE"
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| − | =GOLDENANGLE( | + | <div style="font-size:30px">'''GOLDENANGLE(Isdegrees)'''</div><br/> |
| − | + | *where <math>Isdegrees</math> is the logical value TRUE or FALSE. | |
| − | *where <math> | + | **GOLDENANGLE() returns the ratio of the length of the larger arc to the smaller is the same as the ratio of the full circumference to the larger. |
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| − | GOLDENANGLE() returns the | ||
== Description == | == Description == | ||
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It is represented as - | It is represented as - | ||
| − | Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2- | + | Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-\phi;)</math> |
*The value of Golden Angle is approximately ''137.5077508875556°'' or ''2.399963 radians''. | *The value of Golden Angle is approximately ''137.5077508875556°'' or ''2.399963 radians''. | ||
| − | *Argument <math> | + | *Argument <math>Isdegrees</math> 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 <math> | + | *If argument <math>Isdegrees</math> is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees. |
*If argument is invalid, Calci returns a #NULL error message. | *If argument is invalid, Calci returns a #NULL error message. | ||
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*[http://en.wikipedia.org/wiki/Golden_angle Golden Angle] | *[http://en.wikipedia.org/wiki/Golden_angle Golden Angle] | ||
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| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
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| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 16:24, 17 August 2018
GOLDENANGLE(Isdegrees)
- where is the logical value TRUE or FALSE.
- GOLDENANGLE() returns the ratio of the length of the larger arc to the smaller is the same as the ratio of the full circumference to the larger.
is the logical value TRUE or FALSE.
Description
- GOLDENANGLE() displays the golden angle in degrees if the argument is TRUE (or 1) and in radians if the argument is FALSE (or 0).
- If 'a' and 'b' are two arcs where 'a' is longer arc and 'b' is smaller arc, then Golden angle is the angle subtended by the smaller arc when two arcs make a circle in golden ratio (φ).
It is represented as -
Golden Angle = = =
= 
= 
- The value of Golden Angle is approximately 137.5077508875556° or 2.399963 radians.
- 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 golden angle in degrees.
- If argument is invalid, Calci returns a #NULL error message.
Examples
GOLDENANGLE(TRUE) returns 137.5077508875556
GOLDENANGLE(1) returns 137.5077508875556
GOLDENANGLE(FALSE) returns 2.399963
GOLDENANGLE() returns 137.5077508875556
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See Also
References