cs_fauve
Messages postés
661
Date d'inscription
vendredi 2 décembre 2005
Statut
Membre
Dernière intervention
23 mars 2011
8
26 déc. 2008 à 20:52
Salut,
Je vais commencer par un exemple :
Dans l'exemple ci-dessus, quand on parle d'une pente de 10 %, cela signifie qu'en parcourant 100 m, on monte de 10 m.
Pour trouver l'angle de la pente qu'on nommera <meta name= "ProgId" content="Word.Document" /><meta name="Generator" content="Microsoft Word 12" /><meta name="Originator" content="Microsoft Word 12" /><link rel="File-List" href="file:///C:%5CUsers%5CJRME%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml" /><link rel="themeData" href="file:///C:%5CUsers%5CJRME%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx" /><link rel="colorSchemeMapping" href="file:///C:%5CUsers%5CJRME%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml" /><!--[if gte mso 9]><xml>
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<![endif]-->ß, il faut utiliser la trigonométrie.
Ainsi, en utilisant la formule Tan(ß) Coté opposé / Coté adjacent 10 / 100, on trouve la tangente de l'angle de la pente ß.
Il ne nous reste plus qu'à l'inverse de la tangente pour obtenir l'angle.
Voilà pour la théorie
Pour la pratique c'est à dire pour coder tout çà en VB.NET, cela va s'avérer légèrement plus complexe car ArcSin, ArcCos et ArcTan ne sont pas disponibles directement en VB.NET, mais peuvent être implémentées très simplement à partir des formules existantes.
Ainsi, ArcTan (X) = 2 * Tan(1) - Tan(X)
Le résultat obtenu alors exprimé est l'angle ß en Radian, il faut donc convertir cette angle en degré.
D'où la formule suivante qui effectue la conversion Radian >>> Degré : ArcTan(X) = ( ArcTan(X) * 180 ) / Pi
Voici donc la fonction complète en VB.NET :
Syntaxe : Pour une pente de 9 %
ArcTan(9/100)
La fonction retourne l'angle en degré de la pente à 9 %.
Pour une pente de 100 % , elle retourne bien 45°
Function ArcTan(ByVal x As Double ) As Double
Dim valeur As Double
' On récupère la valeur de l'angle de la pente en radian
valeur = 2 * Math.Atan(1 ) - Math.Atan(x)
' Conversion de l'angle en radian en degré
valeur = (valeur * 180 ) / Math.PI
' On retourne la valeur de l'angle en degré
Return valeur
End Function
<hr size ="2" width="100%" />++
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