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The smoothing plane is the shortest of the bench planes. [2] Under the Stanley Bailey numbering system for metal-bodied planes #1 to #4 are smoothing planes, with lengths ranging from 5 + 1 ⁄ 2 inches (140 mm) to 10 inches (250 mm). [3] The #4 plane, which is 9 inches (230 mm) in length, is the most common smoothing plane in use.
Date/Time Thumbnail Dimensions User Comment; current: 23:16, 14 June 2008: 1,420 × 913 (144 KB): Ilmari Karonen: actually, I don't think that's a hole after all: 23:10, 14 June 2008
A smooth plane curve is a curve in a real Euclidean plane and is a one-dimensional smooth manifold.This means that a smooth plane curve is a plane curve which "locally looks like a line", in the sense that near every point, it may be mapped to a line by a smooth function.
The cut is generally set deeper than on most other planes as the plane's purpose is to rapidly remove stock rather than to gain a good finish (smoothing planes are used for that). [2]: 34 In preparing stock, the jack plane is used after the scrub plane and before the fore plane or jointer plane and the smoothing plane. [10]
Smoothing may be distinguished from the related and partially overlapping concept of curve fitting in the following ways: . curve fitting often involves the use of an explicit function form for the result, whereas the immediate results from smoothing are the "smoothed" values with no later use made of a functional form if there is one;
Simple examples. A simple example of a regular surface is given by the 2-sphere {(x, y, z) | x 2 + y 2 + z 2 = 1}; this surface can be covered by six Monge patches (two of each of the three types given above), taking h(u, v) = ± (1 − u 2 − v 2) 1/2. It can also be covered by two local parametrizations, using stereographic projection.
In geometry, smooth projective planes are special projective planes.The most prominent example of a smooth projective plane is the real projective plane.Its geometric operations of joining two distinct points by a line and of intersecting two lines in a point are not only continuous but even smooth (infinitely differentiable =).
In thicknessing or preparing rough stock, the jointer plane is usually preceded by the fore plane or jack plane and followed by the smoothing plane. [2] [3] Jointer planes are typically 20 to 24 inches (510 to 610 mm) long, and are the longest hand planes commonly used. [2] Under the Stanley Bailey numbering system, #7 and #8 planes are jointer ...