The first paragraph (the one starting with "To contrast ...") seems to be
wrong. It states that if both a class and its companion object are
defined, no static forwarding methods to the companion object would be
defined in the class and that Java code will have to access the companion
object via the MODULE$ instance. I wrote a simple code example and by
using javap I saw that actually those static forwarding methods are
defined. 
I apologize if I actually misunderstood the fragment.

You are missing a "do" in second paragraph of 31.5.  "All you have to is
put the Java source files on the command line as if they were Scala
files" should be "All you have to do is ..."

"All you have to (do) is put the Java source.."

"do" is missing

[Fixed.]