The plane is a reflection of this.

I thought it was invisible so no man could follow her back to Paradise Island.

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That makes no sense. As evidenced by the 1st post, all they'd have to do is just watch where she's going to find Paradise Island.

As a kid, I don't think I saw any difference between her "gliding on the winds" and Superman flying.  True, I never followed her comics as a kids, until after watching Super-friends and then Wonder Woman TV series.  (I thought the power was in her belt was a comic book convention too and didn't find out that it wasn't until my first WW comic where Diana had been replaced as Wonder Woman by red head or was it a blond?  No, not Artemus; this was either in the late 70s or early 80s.)

But in the Super-friends cartoon and in the JL comics (where I did follow Wonder Woman, ) I can't remember them drawing a difference between true flight and gliding.

Hmmm, you know how some people thought the dashed line to indicate an invisible Sue Richards was actually visible to people within the comics; I wonder if they thought the outline of the invisible jet was visible too?

I think part of me wondered if WW was actually invisible in the plane, but we saw her because that's the way the artist decided to indicate she was in the plane.  I don't think the stories upheld that, but I did wonder.

I remember seeing (in this topic, that seems to be an odd term) issues in the Silver Age Wonder Woman where she's sitting in the plane, and there is sort of a silver pen outline of the plane - no details of dials, etc.

This brings up another point.  While it's invisible, it's not intangible.  So, when it's parked, if it's not in a hanger, there's a possibility that some innocent person could walk into it (and hurt themselves).   I just saw this when watching a James Bond film (Die Another Day) last weekend.  Q had given the car an "invisibility" feature, which worked until some henchman ran his snowmobile into it.

At Marvel, Nick Fury's SHIELD sports car had this invisibility feature at some point during Steranko's run in the 60's.

Funny, I was just pondering the Invisible Jet the other day.

I have a magnet on my work desk cabinet of Wonder Woman in a flying pose; at least once every few week, someone walks by and says some variation of "Wonder Woman doesn't fly, she has that invisible plane!"

It's always a stark reminder of just how insignificant comic books are to the general public;  Wonder Woman has been flying on her own for 25 years (longer if you count the "gliding on air currents".)  But most people seem to only associate her with the Invisible Jet, thanks to the Lynda Carter series and Superfriends.

From the time I was old enough to ponder such things, I was not a fan of the Jet and was glad to see it eliminated in the post-Crisis era.  Only very recently have I developed a retro-fondness for it, but it still never quite works for me. 

The only time the Jet has really made sense to me was in the JLU cartoons and the semi-related CRISIS ON TWO EARTHS movie.  There, the Jet is completely visible on the inside for the passengers, but completely invisible on the outside -- ultra-stealth mode.  Of course, that renders it far less fantastical -- almost mundane, as technology in real life isn't that far off.