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Difference between revisions of "Manuals/calci/GOLDENANGLE"

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<div style="font-size:30px">'''GOLDENANGLE(Isdegrees)'''</div><br/>
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*where <math>Isdegrees</math> is the logical value TRUE or FALSE.
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**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'''(Isdegrees)
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== Description ==
  
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where
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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).
  
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'''Isdegrees''' is true or false
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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 (&phi;).
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It is represented as -
  
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</div>
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Golden Angle = <math>\frac{a+b}{a}</math> = <math>\frac{a}{b}</math> = <math>360(2-\phi;)</math>
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----
 
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GOLDENANGLE function returns goldenangle in degrees or radian depending on the argument.
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*The value of Golden Angle is approximately ''137.5077508875556&deg;'' or ''2.399963 radians''.
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*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.
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*If argument <math>Isdegrees</math> is omitted, Calci assumes it as TRUE or 1 and displays the golden angle in degrees.
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*If argument is invalid, Calci returns a #NULL error message.
  
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</div>
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== Examples ==
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GOLDENANGLE returns goldenangle in degrees if argument is not given.
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GOLDENANGLE(TRUE) ''returns 137.5077508875556''
  
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GOLDENANGLE(1) ''returns 137.5077508875556''
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----
 
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GOLDENANGLE
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GOLDENANGLE(FALSE) ''returns 2.399963''
  
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</div></div>
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GOLDENANGLE() ''returns 137.5077508875556''
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----
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
  
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Lets see an example in (Column2Row1)
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==Related Videos==
  
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<nowiki>=GOLDENANGLE(true)</nowiki>
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{{#ev:youtube|5zosU6XTgSY|280|center|GOLDENANGLE}}
  
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Returns 137.507751 for GOLDENANGLE(true)
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== See Also ==
  
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Consider another example in (Column2Row2)
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*[[Manuals/calci/GOLDENRATIO | GOLDENRATIO]]
  
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<nowiki>=GOLDENANGLE(false)</nowiki>
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== References ==
  
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Returns 2.399963 for =GOLDENANGLE(false)
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*[http://en.wikipedia.org/wiki/Golden_angle Golden Angle]
  
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</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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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.

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

Related Videos

GOLDENANGLE

See Also

References


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