When the angle between Sun and Moon is within about 6 degrees you on the Earth see it in a new phase and it is the beginning of the phase cycle. The phase is called a quarter phase because you can see a quarter of the Moon's entire surface and 90 degrees is one-quarter of degrees. Sometimes about twice a year the Sun-Moon angle is exactly degrees and you see the Earth's shadow covering the Moona lunar eclipse.
Sidereal and tropical astrology
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