Quadratur des Zirkels

"On Teslakite, this song’s title is translated as “Quadratur des ZIirkels” (sic). I don’t speak German, but according to what information I was able to find, “Quadratur des Kreises” = “Squaring the Circle”, and you can also translate “Zirkel” as “circle” (I couldn’t find a definition for “Ziirkels”, so I’m assuming that that’s a typo), although the word is rarer than “Kreis”.

The Kenja no Puropera lyrics booklet mentions that, in a narrow sense, ensekihou refers to the difficult alchemical problem of unifying the male and female principles.

This image of the Philosopher’s Stone from Michael Maier’s 1617 alchemical work Atalanta Fugiens shows a man and a woman standing in circle within a square.

If you take the Millennium Actress CD case/booklet as the square and the moon on the front of it as the circle, then you might be able to say that this concept carries over to that soundtrack as well, considering that the two albums share many of the same melodies.

Lyrics

 * 1 "Sensha can be translated as either “tank” or “chariot”. I decided to translate it as the latter after coming across the word kasha (火車, “burning chariot”), which refers to a demon from Japanese mythology said to “travel the world on burning chariots or barouches, stealing the corpses of recently deceased humans, which were not yet buried and who had been sinful in life. They bring their souls to hell.”"
 * 2 "There’s no verb after uruoi wo, so I made a guess based on the verbs I saw a Japanese fan using while discussing this section of the song.
 * I’m assuming that shadoo is an abbreviation of aishadoo (“eyeshadow”).
 * I’m not quite sure who is doing the beckoning in the last line, so I’ve left it vague for now."