Gleichung nach f auflösen

Hallo Anonymous,

könnte es die Linsengleichung sein ?       $${\frac{{\mathtt{1}}}{{\mathtt{f}}}} = {\frac{{\mathtt{1}}}{{\mathtt{g}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{b}}}}$$

Dann so :                                                $${\frac{{\mathtt{1}}}{{\mathtt{f}}}} = {\frac{{\mathtt{b}}}{\left({\mathtt{g}}{\mathtt{\,\times\,}}{\mathtt{b}}\right)}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{g}}}{\left({\mathtt{g}}{\mathtt{\,\times\,}}{\mathtt{b}}\right)}}$$        

                                                                  $${\frac{{\mathtt{1}}}{{\mathtt{f}}}} = {\frac{\left({\mathtt{b}}{\mathtt{\,\small\textbf+\,}}{\mathtt{g}}\right)}{\left({\mathtt{g}}{\mathtt{\,\times\,}}{\mathtt{b}}\right)}}$$

dann "kippen"    =>                                                    $${\mathtt{f}} = {\frac{{\mathtt{g}}{\mathtt{\,\times\,}}{\mathtt{b}}}{\left({\mathtt{g}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right)}}$$

Gruß radix !

Wie heißet die Gleichung????