The problem with it is that it is presented with illustrations that are only presented in one plane... more flat thinking going on. The earth and the moon exist as spheres in 3d space and are on tilted axis and rotations that can not be easily defined in a simple 2d illustration. Also, refraction bends the light rays of the sun and the moon enabling us to see both for several minutes during the Selenelion. But in general, here is a good explanation from a knowledgeable site (click here)The Moon phases are the same all over the world, both in the Northern and Southern Hemispheres. The same percentage of the Moon will be illuminated no matter where on Earth you are. However, whether the Waxing Crescent Moon looks like a banana, a boat, or even an umbrella, depends on the time, the date, your location, and the Moon's position in the sky.

Exactly which part of the Moon is lit up–the top, bottom, or the side–also depends on how high the Moon is in the sky. The Waxing Crescent Moon is generally higher in the sky in the summer than in the winter.

The line–or curve–dividing the illuminated and dark parts of the Moon is called the terminator. The terminator of a Waxing Crescent Moon can be on the right side, the left, the top, or the bottom.