Gebruiker:Martinvl/Fibonaccireeks: Verskil tussen weergawes

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Martinvl (besprekings | bydraes)
Martinvl (besprekings | bydraes)
Lyn 96:
[[File:Kugel-spirale-1-2.svg|thumb|upright=1.2|Spherical spiral with <math>c=8</math>]]
 
=== SphericalSferiese spiralsspirale ===
 
IfDie oneoppervlak representsvan a'n sphere ofsfeer, radius <math>r</math>, kan voorgestel word deur die volgende byvergelykings:
 
: <math>
Lyn 118:
 
Spherical spirals were known to Pappus, too.
 
Remark: a [[rhumb line]] is ''not'' a spherical spiral in this sense.
 
<gallery>
KUGSPI-5 Archimedische Kugelspirale.gif|Spherical spiral
KUGSPI-9_Loxodrome.gif|Loxodrome
</gallery>
 
A [[rhumb line]] (also known as a loxodrome or "spherical spiral") is the curve on a sphere traced by a ship with constant [[bearing (navigation)|bearing]] (e.g., travelling from one [[Geographical pole|pole]] to the other while keeping a fixed [[angle]] with respect to the [[Meridian (geography)|meridians]]). The loxodrome has an [[Infinity|infinite]] number of [[Orbital revolution|revolution]]s, with the separation between them decreasing as the curve approaches either of the poles, unlike an [[Archimedean spiral]] which maintains uniform line-spacing regardless of radius.
 
==Verwysings==