A comber machine processes cotton fibers to remove short fibers (noils) and improve parallelization.
Plane segment: A general term; parts of the top comb or unicomb might have planar sections.
Table Calendar: Likely a misspelling for "calender roller" (cylindrical) or "top comb" (flat bar with needles). Neither is "one fourth moon shape".
Improved Nipper: Nippers are jaw-like mechanisms that grip the fiber tuft. Not moon-shaped.
Web condenser (or Trumpet): After combing, the fibers form a wide, thin web. This web is gathered and condensed into a sliver by passing through a web condenser or trumpet. These condensing elements often have curved internal surfaces to smoothly guide and converge the fibers. A "one fourth moon shape" (crescent shape) could describe the profile or cross-section of such a guiding or condensing component within the web condensing zone.
The web condenser is responsible for funneling the wide web of combed fibers into a sliver. The guiding surfaces of these condensers are often curved. A part of such a guide, if viewed in cross-section or as a segment, might resemble a "one fourth moon shape." \[ \boxed{\text{Web condenser}} \]