I Like Curves
Even a seasoned glass man is taking a risk when cutting a windshield. For that reason a reputable glass shop will only charge you their cost for the windshield until they get one cut successfully. That way you assume the risk for the potential pieces
paying labor and profit upon success.
When I first chopped (and sectioned) my '56 Ford it was just a couple-of-block drive over to Harry, the owner of Safelite Autoglass on the corner of Delsea Drive and Lake Rd in Newfield, NJ. Like many others, I didn't know what I was doing, I was just doing it.
Harry went the old-school method of scoring both sides, making a couple of relief cuts in the piece to come off, squirting some denatured alcohol along the crack, and setting it ablaze to melt the laminating plastic between the glass as he broke-off the top with all the finesse of a framing carpenter pounding nails.
"There, done... except for the sides", he said as he walked around my chopped, glass-less truck in one bay over to the belt sander. I was in total awe from what I just witnessed but this is where the education began.
I'm going to jump forward in time to pictures of
my '58 since I don't have any good ones of that old '56 for this illustration.
The intersection of the two red lines shows where the top of the windshield meets the cab. The white line accentuates where it meets the "A" pillar:
Let's take an arbitrary couple of inches out the cab height by cutting at the purple line. See how the angled red line at the front of the glass now shoots above the where your new roof-line is? It's out in front... too far forward to meet the cab or seal
The fix is to cut the bottom "wing" at the blue line to get the windshield to lay back. Flat glass obviously doesn't have these wings so you just lay the glass back and be done with it in that case.
But Wait! That's Not All!
The glass still won't lay back until you re-create the same base-to-"A" pillar angle in the glass that exists on the cab. If it's a 90* right angle on the cab, then you need to cut at 90* from your new base (vertical blue line in front of white line but further away at the top)... which puts you cutting slightly more from the top side towards your bottom corner. The '58 is not a 90*, but you get what needs to be done to lay it back.
Once you get the angles right, you'll find you need to remake the new rounded corner (brown curved line) at the base. This is now further up and forward from the original corner.
This is where most people who've gone this far - myself included back in the days of the F-100 - realize they've messed up big.
Look at the curved windshield from the top. My "A" pillars are illustrated green. Notice that the further you cut into the sides to lay the glass back, the narrower the width of windshield gets. It's entirely possible, and quite frequently done, to chop so much from the roof that cutting the windshield correctly makes it too narrow to install.
Add to that that when keeping the same base-to-"A" pillar angle described above, even a slight trim at the back of the bottom requires you to start cutting quite a bit from the top of the sides. Even without getting too narrow, and depending on the vehicle, you could be getting into the compound curvature of the glass - the actual corner area where the glass both curves backwards
and turns down.