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Definitions

Century Dictionary and Cyclopedia

  1. Capable of developing or of being developed.
  2. In geometry, reducible to a plane by bending: applied to a particular species of ruled surface, otherwise called a torse, which is conceived as formed by an infinite succession of straight lines, each intersecting the next.
  3. n. In geometry, a singly infinite continuous succession of straight lines, each intersecting the next; a torse. The word developable is used as a noun by modern geometers, because they do not consider this locus to be properly a surface. It is rather a skew curve regarded under a particular aspect. A developable is generated by a line which turns about a point in itself, while this point moves along the line. The locus of the point is a skew curve, called the edge of regression of the developable, to which the line is constantly tangent. The developable is thus the locus ot tangents of a skew curve. Considering the osculating plane at any fixed point of this curve, the moving tangent comes up to this plane so that for an instant its motion is in the plane and then passes off; and the result is that the curve is a cuspidal edge of the developable considered as a surface.
  4. If, in the series given for a function by a development formula, the general expression for the error decreases indefinitely as we increase the number of terms, the sum will approach as its limit the value of the function, which is then said to be developable.

Wiktionary

  1. adj. Suitable for development, often specifically for construction

GNU Webster's 1913

  1. adj. Capable of being developed.

Etymologies

  1. develop +‎ -able (Wiktionary)

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