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plane section

Definitions

  • Section of Jack Plane
    Section of Jack Plane
  • WordNet 3.6
    • n plane section (geometry) the area created by a plane cutting through a solid
    • ***

Additional illustrations & photos:

Section of Block-Plane Section of Block-Plane

Usage

In literature:

The top plane is in three sections, laced together.
"Flying Machines" by W.J. Jackman and Thos. H. Russell
A M is the section of a flat plane surface, say a thin sheet of metal or a cloth supported by wires.
"Side-lights on Astronomy and Kindred Fields of Popular Science" by Simon Newcomb
We got on the plane and had to stay in the bomb bay section.
"The Biography of a Rabbit" by Roy Benson
Cross sections which were originally plane become warped.
"The Mechanical Properties of Wood" by Samuel J. Record
PARABOLA, a conic section formed by the intersection of a cone by a plane parallel to one of its sides.
"The Nuttall Encyclopaedia" by Edited by Rev. James Wood
The end surfaces are cleavage planes, and the sectional cut makes with them an angle of 59 deg..
"Scientific American Supplement, No. 441, June 14, 1884." by Various
Pieces of straight-grained wood are wrought to a square section, after which the corners are planed away to form an octagonal section.
"Woodwork Joints" by William Fairham
The object was to gain some definite knowledge of form by noting the relation of planes, sections of parts, projections, etc., etc.
"Wood-Carving" by George Jack
Harris himself was in the bottom of the plane, in the baggage section near the landing gear.
"The Penal Cluster" by Ivar Jorgensen (AKA Randall Garrett)
This same form also occurs on the radial plane, causing the tangential section to appear wavy or in transverse folds.
"Seasoning of Wood" by Joseph B. Wagner
A huge amphibian plane was hoisted in sections from the hold and mechanics started to assemble it.
"The Solar Magnet" by Sterner St. Paul Meek
These planes are the cross-sections and the axial planes of the bar.
"Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2" by Various
The form of a body depends on those of all its faces and sections; and these last are plane figures.
"Beauty" by Alexander Walker
Braune's Atlas of Topographical Anatomy, after Plane Sections of Frozen Bodies.
"Schweigger on Squint" by C. Schweigger
Every plane section of this cone is a conic.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6" by Various
If the plane tips the slightest amount more, the section becomes an hyperbola.
"The Teaching of Geometry" by David Eugene Smith
Next put in the teeth which come into the plane of the section, then complete the sections of the wheels.
"An Introduction to Machine Drawing and Design" by David Allan Low
A section of a sphere, by a plane cutting it in any manner, is a circle.
"Letters on Astronomy" by Denison Olmsted
I next exhibit a section taken in the same plane of the corky portion of the bark.
"Cork: Its Origin and Industrial Uses" by Gilbert E. Stecher
The cross sections between the planes hold her up nicely.
"The Great Airship." by F. S. Brereton
***

In news:

Sections of the plane that can be moved to change the direction of flight.
They were submerged in more than 100 feet of water under what remains of the tail section of the plane.
Airlines have carved out premium sections behind first class and business class that offer a few extra inches of legroom and allow passengers to be among the first off the plane by sitting closer to the front.
First look at the Airbus A350 XWB: The nose section of the first Airbus A350 XWB plane is seen on the final assembly line in Toulouse, France, on Oct 23, 2012.
At least nine people are dead and scores more injured after a pilot participating in the Reno Air Race in Reno, Nevada lost control of his vintage plane and crashed into a VIP section full of spectators on Friday afternoon.
Emergency service workers stand near the tail section of the UTair airlines ATR 72 passenger plane that crashed near the Siberian city of Tyumen.
Ryan Lee says a tail section may have come from a plane that crashed in the 1950s, but no further information is available.
***

In science:

As we considered in the previous section, the variable ω ∈ R+ can be transformed into a variable z ∈ Γ, being Γ the curve in the lower complex half plane shown in Fig.1.
Perturbative method for generalized spectral decompositions
We have spoken above of interfaces which ‘deviate only locally’ from a plane, and we shall make this expression more rigorous in Section 9, where our principal Theorem 2 is presented.
Rigidity of the interface for percolation and random-cluster models
Note that Fig. 10 corresponds to a typical small enough constant α section (hyperbola in the (1/z2, u−1 ) plane) such as that represented in dotted line on Fig. 11 which crosses the two transition lines successively.
Critical and Tricritical Hard Objects on Bicolorable Random Lattices: Exact Solutions
In this section we deal with exponents similar to the ˜x(L ∧ n) encountered above, but now for the harmonic measure near the tip of a collection of L random CI paths in the plane.
Conformal Fractal Geometry and Boundary Quantum Gravity
In Section 3 we discuss the generalized hypergeometric coherent states and use them to represent an arbitrary state by analytic functions either on the plane or the unit disk.
Generalized Hypergeometric Coherent States
In Section 10, we give estimates on the difference between the generalized eigenfunction and the plane wave when σ > 2.
Generalized eigenfunctions of relativistic Schroedinger operators I
The cross-sectional area of the resonant semi-slice in the x − z -plane.
Regular and Random Magnetic Resonance Force Microscopy Signal with a Cantilever Oscillating Parallel to a Sample Surface
In section 6 we present our conclussions, and in the Appendix we present the calculation of the expansion coefficients for the gauge invariant plane waves.
Flat Spacetime Vacuum in Loop Quantum Gravity
To illustrate the theory of the previous sections we consider non-commutative models of plane quadrics and cubics, their finite-dimensional simple modules and the relations defined in the previous sections.
Noncommutative plane curves
In Section 3 we show how to represent the spherical harmonics as random-walks in the complex plane and give some simple analytic results.
Random-Walk Statistics and the Spherical Harmonic Representation of CMB Maps
In particular, a section by the plane u = v can be considered as the Young diagram of an ordinary partition (up to a factor √2).
Fluctuation of maximal particle energy of quantum ideal gas and random partitions
In Section 5 we describe connections between moments of characteristic polynomials and enumeration of certain classes of plane partitions.
Counting formulas associated with some random matrix averages
Natural numbers can be represented by (n + 1)-dimensional points using the computation plane technique introduced in Section 4.
First-order Complete and Computationally Complete Query Languages for Spatio-Temporal Databases
K 3 and coincident with one of the orientifold planes, we see that σ∗ acts with a sign on sections of the normal bundle.
An index for the Dirac operator on D3 branes with background fluxes
We know (see [A61] or section 3.1 of [HP00]) that the sequence (Gµn ) converges uniformly on every compact of the upper half plane to Gµ .
Rectangular random matrices. Related convolution
***