Difference between revisions of "Manuals/calci/GOLDENANGLE"
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− | + | =GOLDENANGLE(isdegrees)= | |
− | + | *where <math>isdegrees</math> 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). | |
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− | + | *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. | |
+ | It is represented as - | ||
− | </ | + | Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-φ)</math> |
− | - | ||
− | < | ||
− | + | *The value of golden ratio 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. | ||
+ | *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. | ||
− | + | == Examples == | |
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− | GOLDENANGLE | + | GOLDENANGLE(TRUE) ''returns 137.5077508875556'' |
− | + | GOLDENANGLE(1) ''returns 137.5077508875556'' | |
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− | + | GOLDENANGLE(FALSE) ''returns 2.399963'' | |
− | + | GOLDENANGLE() ''returns 2.399963'' | |
− | + | == See Also == | |
− | + | *[[Manuals/calci/GOLDENRATIO | GOLDENRATIO]] | |
− | + | == References == | |
− | + | *[http://en.wikipedia.org/wiki/Golden_angle Golden Angle] | |
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Revision as of 15:37, 19 December 2013
GOLDENANGLE(isdegrees)
- where 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.
It is represented as -
Golden Angle = = = Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 360(2-φ)}
- The value of golden ratio 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