$\mathcal G_0$ through $\phi(q_{\mathcal F})$ and $\phi(q_{\mathcal G})$ will intersect (by definition) at the point $\Phi_{F,G}(q)$. It can be seen that this maps extends biholomorphically to the points of $tang(\mathcal F,C)$ and $tang(\mathcal G,C)$, essentially because the foliations $\mathcal F$ and $\mathcal G$ are transverse to each other at those points. From now on we change $A$ and $A_0$ to $A= tang(\mathcal F, \mathcal G)\cap C$ and $A_0=tang(\mathcal F_0, \mathcal G_0)\cap C_0$ and analyse the behavior of $\Phi_{F,G}$ at points of $A \cup {\phi^{-1}}(A_0)$. We distinguish two cases

(A) $\phi(p)\in tang(\mathcal F_0,\mathcal G_0,C_0)$.

(B) $\phi(p)\notin tang(\mathcal F_0,\mathcal G_0,C_0)$.

\[extension\] $\Phi_{F,G}$ extends meromorphically to a neighborhood of $C$.

[**Case A:**]{} We may assume, choosing conveniently the coordinates $(x,y)$ around $p$ and affine coordinates $(X,Y)$, that

-   $p=(0,0)$, $C$ is $y=0$ and $\mathcal F$ is defined by $dx=0$;

-   $\phi(p)=(0,0)$, $\mathcal F_0$ is defined by $dX=0$, $\mathcal G_0$ is the radial pencil with $(0,1)$ as base point ($X=0$ is a common fiber of $\mathcal F_0$ and $\mathcal G_0$);

-   $C_0$ is defined by $Y=h(X)$ with $h(0)=0$, $h^{\prime}(0)=0$ and $\phi(x)= (x,h(x))$.

The leaf of $\mathcal F$ (respec. $\mathcal G$) through a point $(x,y)$ crosses the $x$-axis at $x$ (respectively $\xi(x,y)$ for a holomorphic 