the.com/tangent

the line that kisses a curve once, then commits fully to leaving

means A straight line that touches a curve at a single point without crossing it; figuratively, a sudden swerve off the main subject onto a loosely related one.

from From Latin tangentem, the present participle of tangere, 'to touch' — the same root that gives us tangible, tactile, and contact. Geometers borrowed it (via the phrase linea tangens, 'the touching line') for the line that grazes a curve at exactly one point. The conversational sense, 'going off on a tangent,' came later by metaphor: just as the line touches and departs, a speaker brushes the topic and shoots off in another direction.

single touch
meets a curve at exactly one point locally
word origin
from Latin tangere, to touch
trig star
tangent equals sine divided by cosine
infinite spike
shoots to infinity at ninety degrees
conversation hazard
derailing chats stole this geometric term
for instance

apollo 13 oxygen tank — explosion in 1970 forced mission abort, became symbol of going off course

tesla stock price movements — elon musk's tweets send shares on tangents, e.g. 2021 $420 'funding secured' post

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