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A common assumption is that the Moon’s phases are one thing and her aspects another, the first a matter of how she looks and the second a matter of where she is. At 20:43 UTC today the Moon reaches twenty five degrees of Sagittarius and stands exactly ninety degrees from the Sun. Those are not two events. They are one event with two names. The phase is called the first quarter. The aspect is called a square, or in the older English, a quartile.
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The identity holds all the way down. Every phase is a configuration between the two lights: the new Moon is their conjunction, the full Moon their opposition, and the two quarters are the squares in between. Ptolemy works this way in the Tetrabiblos, in second century Alexandria, dividing the lunar month by the Moon’s angular distance from the Sun rather than by how much of her looks lit. The appearance was the consequence. The angle was the fact.
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Ninety degrees was read as the hard angle, the one that divides rather than agrees, and the later writers treated a square between the lights as a point of strain in a chart rather than a comfortable one. So the quarter Moon carried a weight in the old books that a modern phase calendar does not record at all. After this one she forms nothing further in Sagittarius and crosses into Capricorn at 04:54 UTC tomorrow. The quartile is the last thing she says in this sign.
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