Etymology
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sutra (n.)
in Buddhism, "series of aphorisms" concerning ceremonies, rites, and conduct, 1801, from Sanskrit sutram "rule," literally "string, thread" (as a measure of straightness), from sivyati "sew," from PIE root *syu- "to bind, sew." Applied also to rules of grammar, law, philosophy, etc., along with their commentaries.
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Kama Sutra (n.)
also Kamasutra, 1871, from Sanskrit Kama Sutra, name of the ancient treatise on love and sexual performance, from kama "love, desire" (from PIE *ka-mo-, suffixed form of root *ka- "to like, desire") + sutra "series of aphorisms" (see sutra).
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*syu- 
syū-, also sū:-, Proto-Indo-European root meaning "to bind, sew."

It forms all or part of: accouter; couture; hymen; Kama Sutra; seam; sew; souter; souvlaki; sutra; sutile; suture.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit sivyati "sews," sutram "thread, string;" Greek hymen "thin skin, membrane," hymnos "song;" Latin suere "to sew, sew together;" Old Church Slavonic šijo "to sew," šivu "seam;" Lettish siuviu, siuti "to sew," siuvikis "tailor;" Russian švec "tailor;" Old English siwian "to stitch, sew, mend, patch, knit together."
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*ka- 
*kā-, Proto-Indo-European root meaning "to like, desire."

It forms all or part of: caress; charity; cherish; Kama Sutra; whore; whoredom.

It is the hypothetical source of/evidence for its existence is provided by: Sanskrit Kama, name of the Hindu god of love, kamah "love, desire;" Old Persian kama "desire;" Latin carus "dear;" Old Irish cara "friend;" Old English hore "prostitute, harlot."
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