How about you try this. Draw a line from the centre of the waxing crescent moon to the centre of the earth. Then draw a line that goes through the centre of the earth AND bisects your first line at right angles (you'll notice this second line goes through the waning crescent and the waxing gibbous moon). You have just illustrated the half of the earth that see the waxing crescent moon. You will see that most of that half of the earth is in daylight, but there is a small section of it that can see the waxing crescent moon at night.
centre?
center. you made this mistake 3 times. we're you nervous per chance?
Yes that's it. I'm scared of you. Oh hang on. No. I'm Australian.
I can't see thru the center of the Earth, neither can you or anyone else, we can only see the surface, how about you try this again; with your left index finger find the waxing crescent and hold it to the screen of your computer, try to remain steady in performing this exercise, with your right index finger point to the dark side of the Earth (preferably the mid-night hour), now, would anyone living where your right finger is pointing see the waxing crescent where your left finger is?
Okay, did you really think I wanted you to draw a line through the actual earth? Instead of your picture that I quoted in my post? Reread my post again, please.
And regarding your experiment, no-one would be able to see the crescent moons at midnight. Which is exactly how things are. What point are you trying to make?
Feel free to duplicate this for the other phases of the moon. As you get closer to the New moon (as the moon gets smaller and smaller) the piece of earth that can see the moon at night gets smaller and smaller. This is exactly what you would expect to see according to RET. Are you claiming something different is what we actually observe?
The Moon doesn't get smaller it remains the same dimension, the light decreases is what you mean and the portion of the Earth also remains the same. The reason why the new Moon is seen in the day, is because on that phase it receives the light from the Sun.
You know I almost went back and corrected my use of the word "smaller" but I thought there is no way anyone would think I am actually claiming the moon decreases in size. My mistake.