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Diffstat (limited to 'Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex')
-rw-r--r-- | Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex | 23 |
1 files changed, 13 insertions, 10 deletions
diff --git a/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex b/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex index 826c521f805..56af228c28e 100644 --- a/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex +++ b/Master/texmf-dist/doc/latex/tkz-euclide/TKZdoc-euclide-presentation.tex @@ -92,7 +92,7 @@ We want to draw a circle around the points $A$ and $B$ whose radius is given by |\tkzDrawCircles(A,B B,A)| } -The intersection of the circles +The intersection of the circles $\mathcal{D}$ and $\mathcal{E}$ \medskip @@ -158,7 +158,7 @@ How to draw points : Explanation -In the first part, we need to find the midpoint of the straight line $AB$. With TikZ we can use the calc library +In the first part, we need to find the midpoint of the straight line $AB$. With \TIKZ\ we can use the calc library \medskip \hspace*{1cm}\vbox{\orange |\coordinate [label=left:$A$] (A) at (0,0);|\\ @@ -193,7 +193,7 @@ We can draw the triangle at the end of the picture with \hspace*{1cm}\vbox{\red |\tkzDrawPolygon{A,B,C}|} \medskip -We know how to draw the circle around $B$ through $C$ and how to place the points $E$ and $F$ +We know how to draw the circle $\mathcal{H}$ around $B$ through $C$ and how to place the points $E$ and $F$ \medskip \hspace*{1cm}\vbox{\orange @@ -209,8 +209,8 @@ We know how to draw the circle around $B$ through $C$ and how to place the point \medskip We can place the points $E$ and $F$ at the end of the picture. We don't need them now. -Intersecting a Line and a Circle : here we search the intersection of the circle around B through C and the line DB. -The infinite straight line DB intercepts the circle but with TikZ we need to extend the lines DB and that can be done using partway calculations. We get the point F and BF or DF intercepts the circle +Intersecting a Line and a Circle : here we search the intersection of the circle around $B$ through $C$ and the line $DB$. +The infinite straight line $DB$ intercepts the circle but with \TIKZ\ we need to extend the lines $DB$ and that can be done using partway calculations. We get the point $F$ and $BF$ or $DF$ intercepts the circle \medskip \hspace*{1cm}\vbox{\orange| \node (H) [label=135:$H$,draw,circle through=(C)] at (B) {}; | \\ @@ -219,14 +219,17 @@ The infinite straight line DB intercepts the circle but with TikZ we need to ext |\fill[red,opacity=.5] (G) circle (2pt);|} \\ \medskip -Like the intersection of two circles, it's easy to find the intersection of a line and a circle with \pkg{elements}. We don't need $F$ +Like the intersection of two circles, it's easy to find the intersection of a line and a circle with \pkg{tkz-euclide}. We don't need $F$ \medskip \hspace*{1cm}\vbox{\red | \tkzInterLC(B,D)(B,C)\tkzGetFirstPoint{G}|} \medskip -there are no more difficulties. Here the final code with some simplications. +There are no more difficulties. Here the final code with some simplications. +Nous tracons le cercle $\mathcal{K}$ de centre $D$ et passant par $G$. Il coupe la droite $AD$ au point $L$. $AL = BC$. +\hspace*{1cm}\vbox{\red | \tkzDrawCircle(D,G)|} +\hspace*{1cm}\vbox{\red | \tkzInterLC(D,A)(D,G)\tkzGetSecondPoint{L}|} \begin{tkzexample}[vbox,small] \begin{tikzpicture}[scale=2] @@ -240,15 +243,15 @@ there are no more difficulties. Here the final code with some simplications. \tkzDrawLines[add=0 and 2](D,A D,B) \tkzDrawSegment(A,B) \tkzDrawSegments[red](A,L B,C) - \tkzDrawPoints[red](D,L) + \tkzDrawPoints[red](D,L,G) \tkzDrawPoints[fill=gray](A,B,C) \tkzLabelPoints[left,red](A) \tkzLabelPoints[below right,red](L) - \tkzLabelCircle[above left=6pt](B,G)(180){$H$} + \tkzLabelCircle[above left=6pt](B,G)(180){$\mathcal{H}$} \tkzLabelPoints[above left](D,G) \tkzLabelPoints[above,red](C) \tkzLabelPoints[right,red](B) - \tkzLabelCircle[above left=6pt](D,G)(180){$K$} + \tkzLabelCircle[above left=6pt](D,G)(180){$\mathcal{K}$} \end{tikzpicture} \end{tkzexample} |