Surgical removal of a fallopian tube through an abdominal incision.
From Greek koilia (belly) + salpinx (trumpet, tube) + ektome (excision). Fallopian tubes were named 'salpinx' because of their trumpet-like shape.
The fallopian tube is called 'salpinx' (trumpet) because it really does look like a tiny trumpet—so when you remove it through the belly, that's a celiosalpingectomy!
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