Plotting all lines of a data frame

Hello,

        I'm trying to use R to plot a series of events (contained in a
data.frame) into a single plot. In this case, the data columns represent
known time marks. I would like to visually see the timing between those
marks, for all events at once. What would be the fastest way to make that?

        My data.frame is like this
     event.1 event.2 event.3 ... event.N
1      0       52     87           563   # <<<- first event
2      12      63     99           570   # <<<- second event
...
50     301    350     387          799   # <<<- fiftieth event

        It is relatively easy to make it with plot() and then lines(), but
that would have to use a for() loop, what compromises the speed in which I
can have the results. I still have files with 5,000, sometimes 50,000
events...