the.com/tangent line

the straight talk that touches a curve, agrees for an instant, then leaves forever

means In geometry, a straight line that touches a curve at a single point, matching its direction there without crossing through it.

from From the Latin 'tangere,' to touch — the same verb that gives us 'tangible,' 'contact,' and 'tact.' The present participle 'tangens' means 'touching,' and a tangent line is exactly that: a line caught in the act of touching. Mathematicians borrowed the word in the 17th century as they worked out how to describe curves at a single fleeting point.

single touch
Kisses a smooth curve at exactly one local point
slope spy
Its slope equals the derivative right there
limit child
Born from secant lines as two points merge
best lie
Approximates curves locally better than any other line
word origin
From Latin tangere, meaning to touch
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