Difference between revisions of "Manuals/calci/GOLDENANGLE"
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*GOLDENANGLE() displays the golden angle in degrees if the argument is TRUE (or 1) and in radians if the argument is FALSE (or 0). | *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. | + | *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 - | It is represented as - | ||
Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-φ)</math> | Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-φ)</math> | ||
| − | *The value of | + | *The value of Golden Angle is approximately ''137.508°'' or ''2.399963 radians''. |
*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. | *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>isdegrees</math> is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees. | *If argument <math>isdegrees</math> is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees. | ||
Revision as of 16:41, 19 December 2013
GOLDENANGLE(isdegrees)
- where is the logical value TRUE or FALSE.
is the logical value TRUE or FALSE.GOLDENANGLE() returns the golden angle value in degrees or radians.
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 = = = Failed to parse (syntax error): {\displaystyle 360(2-φ)}
= 
= Failed to parse (syntax error): {\displaystyle 360(2-φ)}
- The value of Golden Angle is approximately 137.508° 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 2.399963