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tkz-euclid e 1.16 c AlterMundus

tkz-euclid e 1.16 c AlterMundus

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10.3 Intersection de deux cercles 61<br />

10.3.2 Dupliquer un triangle<br />

Trois segments étant donnés, construire un triangle. Il s’agit de récupérer les mesures des longueurs avec<br />

\<strong>tkz</strong>CalcLength.<br />

C ′<br />

A ′ B ′<br />

E<br />

F<br />

C<br />

D<br />

A<br />

B<br />

\begin{tikzpicture}<br />

\<strong>tkz</strong>DefPoint(1,0){A} \<strong>tkz</strong>DefPoint(4,0){B} % On place les points<br />

\<strong>tkz</strong>DefPoint(1,1){C} \<strong>tkz</strong>DefPoint(5,1){D}<br />

\<strong>tkz</strong>DefPoint(1,2){E} \<strong>tkz</strong>DefPoint(6,2){F}<br />

\<strong>tkz</strong>DefPoint(0,4){A’} \<strong>tkz</strong>DefPoint(3,4){B’}<br />

\<strong>tkz</strong>CalcLength[cm](C,D)\<strong>tkz</strong>GetLength{rCD}<br />

\<strong>tkz</strong>CalcLength[cm](E,F)\<strong>tkz</strong>GetLength{rEF}<br />

\<strong>tkz</strong>InterCC[R](A’,\rCD cm)(B’,\rEF cm)\<strong>tkz</strong>GetPoints{I}{J}<br />

\<strong>tkz</strong>DrawSegments[red](A,B C,D E,F) % Les tracés<br />

\<strong>tkz</strong>DrawLine(A’,B’)<br />

\<strong>tkz</strong>DrawPoints(D,E,I,J)<br />

\<strong>tkz</strong>DrawPolygon[color=red](A’,B’,I)<br />

\<strong>tkz</strong>SetUpLine[color=gray]<br />

\<strong>tkz</strong>Compass(A’,B’)<br />

\<strong>tkz</strong>DrawCircle[R](A’,\rCD cm)<br />

\<strong>tkz</strong>DrawCircle[R](B’,\rEF cm)<br />

\<strong>tkz</strong>DrawPoints(A,B,C,D,E,F,A’,B’,I)<br />

\<strong>tkz</strong>LabelPoints[left](A,C,E)<br />

\<strong>tkz</strong>LabelPoints[right](B,D,F)<br />

\<strong>tkz</strong>LabelPoints[below](A’,B’)<br />

\<strong>tkz</strong>LabelPoint[above left](I){$C’$}<br />

\end{tikzpicture}<br />

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

<strong>AlterMundus</strong>

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