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tkz-euclid e 1.16 c AlterMundus

tkz-euclid e 1.16 c AlterMundus

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10.2 Intersection d’une droite et d’un cercle 54<br />

10.2.2 Exemple plus complexe d’intersection droite-cercle<br />

http://gogeometry.com/problem/p190_tangent_circle<br />

E<br />

D<br />

A<br />

O O ′<br />

B<br />

\begin{tikzpicture}[scale=1.25]<br />

\<strong>tkz</strong>Init[xmin=0,xmax=8,ymin=-4,ymax=4] \<strong>tkz</strong>Clip[space=.4]<br />

\<strong>tkz</strong>DefPoint(0,0){A} \<strong>tkz</strong>DefPoint(8,0){B}<br />

\<strong>tkz</strong>DefMidPoint(A,B) \<strong>tkz</strong>GetPoint{O}<br />

\<strong>tkz</strong>DrawCircle(O,B)<br />

\<strong>tkz</strong>DefMidPoint(O,B) \<strong>tkz</strong>GetPoint{O’}<br />

\<strong>tkz</strong>DrawCircle(O’,B)<br />

\<strong>tkz</strong>Tangent[from=A](O’,B) \<strong>tkz</strong>GetSecondPoint{E}<br />

\<strong>tkz</strong>InterLC(A,E)(O,B) \<strong>tkz</strong>GetSecondPoint{D}<br />

\<strong>tkz</strong>DefPointBy[projection=onto A--B](D) \<strong>tkz</strong>GetPoint{F}<br />

\<strong>tkz</strong>MarkRightAngle(D,F,B)<br />

\<strong>tkz</strong>DrawSegments(A,D A,B D,F)<br />

\<strong>tkz</strong>DrawSegments[color=red,line width=1pt,opacity=.4](A,O F,B)<br />

\<strong>tkz</strong>DrawPoints(A,B,O,O’,E,D) \<strong>tkz</strong>LabelPoints(A,B,O,O’,E,D)<br />

\end{tikzpicture}<br />

<strong>tkz</strong>-<strong>euclid</strong>e<br />

<strong>AlterMundus</strong>

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