angle (v.2)youdaoicibaDictYouDict[angle 词源字典]
"to move at an angle, to move diagonally or obliquely," 1741, from angle (n.). Related: Angled; angling. [angle etymology, angle origin, 英语词源]
catawampus (adj.)youdaoicibaDictYouDict
also catawampous, cattywampus, catiwampus, etc. (see "Dictionary of American Slang" for more), American colloquial. First element perhaps from obsolete cater "to set or move diagonally" (see catty-cornered); second element perhaps related to Scottish wampish "to wriggle, twist, or swerve about." Or perhaps simply the sort of jocular pseudo-classical formation popular in the slang of those times, with the first element suggesting Greek kata-.

Earliest use seems to be in adverbial form, catawampusly (1834), expressing no certain meaning but adding intensity to the action: "utterly, completely; with avidity, fiercely, eagerly." It appears as a noun from 1843, as a name for an imaginary hobgoblin or fright, perhaps from influence of catamount. The adjective is attested from the 1840s as an intensive, but this is only in British lampoons of American speech and might not be authentic. It was used in the U.S. by 1864 in a sense of "askew, awry, wrong" and by 1873 (noted as a peculiarity of North Carolina speech) as "in a diagonal position, on a bias, crooked."
catty-cornered (adj., adv.)youdaoicibaDictYouDict
1838, earlier cater-cornered (1835, American English), from now-obsolete cater "to set or move diagonally" (1570s), from Middle French catre "four," from Latin quattuor (see four). Compare carrefour.
chi (n.)youdaoicibaDictYouDict
22nd letter of the Greek alphabet, representing a -kh- sound (see ch). The letter is shaped like an X, and so the Greek letter name was used figuratively to signify such a shape or arrangement (as in khiasma "two things placed crosswise;" khiastos "arranged diagonally; marked with an X;" khiazein "to mark with an 'X', to write the letter 'X'"). Some dialects used chi to represent the -ks- sound properly belonging to xi; Latin picked this up and the sound value of chi in Latin-derived alphabets is now that of English X.
chiastic (adj.)youdaoicibaDictYouDict
1856, from Latinized form of Greek khiastos "arranged diagonally; marked with an X" (i.e., resembling the Greek letter chi) + -ic.
diagonal (adj.)youdaoicibaDictYouDict
1540s (implied in diagonally), from Middle French diagonal, from Latin diagonalis, from diagonus "slanting line," from Greek diagonios "from angle to angle," from dia- "across" (see dia-) + gonia "angle" (see -gon). As a noun, from 1570s.