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tkz-euclid e 1.16 c AlterMundus

tkz-euclid e 1.16 c AlterMundus

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9.8 Exemple de translation 45<br />

Il existe une variante de cette macro pour la définition de multiples images<br />

\<strong>tkz</strong>DefPointsBy[〈local options〉](〈liste de pts〉){〈liste de pts〉}<br />

arguments<br />

exemples<br />

(〈liste de pts〉){〈liste de pts〉} (A,B){E,F} E est l’image de A et F celle de B.<br />

Si la liste des images est vide alors le nom de l’image est le nom de l’antécédent auquel on ajoute « ’ »<br />

options<br />

translation = from #1 to #2<br />

homothety = center #1 ratio #2<br />

reflection = over #1--#2<br />

symmetry = center #1<br />

projection = onto #1--#2<br />

rotation = center #1 angle #2<br />

rotation in rad = center #1 angle #2<br />

exemples<br />

[translation=from A to B](E){}<br />

[homothety=center A ratio .5](E){F}<br />

[reflection=over A--B](E){F}<br />

[symmetry=center A](E){F}<br />

[projection=onto A--B](E){F}<br />

[rotation=center angle 30](E){F}<br />

par exemple angle pi/3<br />

Les points sont seulement définis et non tracés.<br />

9.8 Exemple de translation<br />

C ′<br />

C<br />

A ′ B ′<br />

A<br />

B<br />

\begin{tikzpicture}<br />

\<strong>tkz</strong>DefPoint(0,0){A} \<strong>tkz</strong>DefPoint(5,2){A’}<br />

\<strong>tkz</strong>DefPoint(3,0){B} \<strong>tkz</strong>DefPoint(1,2){C}<br />

\<strong>tkz</strong>DefPointsBy[translation= from A to A’](B,C){}<br />

\<strong>tkz</strong>DrawPolygon[color=blue](A,B,C)<br />

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

\<strong>tkz</strong>DrawPoints[color=blue](A,B,C)<br />

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

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

\<strong>tkz</strong>DrawSegments[color = gray,->,style=dashed](A,A’ B,B’ C,C’)<br />

\end{tikzpicture}<br />

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

<strong>AlterMundus</strong>

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