Punctele A,B,C,D,E sunt in aceasta ordine.
Fie a distanta de la A la B.
a)
[tex]\frac{AB}{BC} = \frac{a}{a} = 1\\\\\frac{AB}{BE} = \frac{a}{3a} = \frac{1}{3}\\\\\frac{BD}{DE} = \frac{2a}{a} = 2\\\\\frac{BD}{AE} = \frac{2a}{4a} = \frac{1}{2}\\\\\frac{AD}{CD} = \frac{3a}{a} = 3[/tex]
b)
Le scriu sub forma de proportii
[tex]\frac{AC}{BD} = \frac{BC}{CD}\\\\ \frac{AE}{AC} = \frac{BD}{BC}\\\\\frac{AD}{BE} = \frac{CE}{AC}[/tex]
