isometric

Definitions

• Isometric projection
• WordNet 3.6
• adj isometric of or involving muscular contraction in which tension increases while length remains constant
• adj isometric of a crystal system characterized by three equal axes at right angles
• adj isometric having equal dimensions or measurements
• adj isometric related by an isometry
• n isometric a line connecting isometric points
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Webster's Revised Unabridged Dictionary
• Isometric (Crystallog) Noting, or conforming to, that system of crystallization in which the three axes are of equal length and at right angles to each other; monometric; regular; cubic. Cf. Crystallization.
• Isometric Of or pertaining to isometrics.
• Isometric Pertaining to, or characterized by, equality of measure.
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Century Dictionary and Cyclopedia
• isometric Of equal measure.
• isometric In crystallography, pertaining to that system which is characterized by three equal axes at right angles to one another. The seven holohedral forms under this system are the cube, regular octahedron, rhombic dodecahedron, tetrahexahedron, tetragonal and trigonal trisoctahedron, and hexoctahedron. The tetrahedron and pyritohedron are the most common hemihedral forms. Also called monometric, regular, tessular, cubic. See crystallography.
• isometric In petrography, evenly granular: as. an isometric texture in which the crystal grains are of nearly the same size.
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Chambers's Twentieth Century Dictionary
• adj Isometric ī-so-met′rik having equality of measure.
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Etymology

Webster's Revised Unabridged Dictionary
Iso-, + Gr. me`tron measure
Chambers's Twentieth Century Dictionary
Gr. isos, equal, metron, measure.

Usage

In literature:

Isometric cube 81 143.
"Carpentry for Boys" by J. S. Zerbe
Thus, a cube can be drawn so as to make an isometric figure, as in Fig.
"Practical Mechanics for Boys" by J. S. Zerbe
Orthographic and isometric projection are taught.
"The American Missionary -- Volume 48, No. 7, July, 1894" by Various
The paneling and wainscot were burnished mahogany, and the floor was a mix of hardwoods worked into an isometric design.
"Syndrome" by Thomas Hoover
ISOMETRICAL DRAWING OF THE GETTYSBURG BATTLE-FIELD.
"Sketch of the life of Abraham Lincoln" by Isaac Newton Arnold
In other studies, isometric exercises reduced loss of bone mineral during bed rest.
"Significant Achievements in Space Bioscience 1958-1964" by National Aeronautics and Space Administration
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In news:

Body Weight Squats, Squat Jumps, Isometric Squats.
Body Weight, Plyometric, Isometric (Mid-hold pushups).
Body Weight Alternating Lunges, Split Squat Jumps, Isometric Lunge Holds.
The refinery's documentation was organized and generally pretty good but its isometrics were terrible.
Among the four hires are two former hedge fund executives from Isometrics and GLG.
Bhatia, managing director and emerging markets equity portfolio manager at Boston-based HMC, was chief investment officer of Hong Kong-based hedge fund Isometric Capital Management .
Isometric drawings and BOMs (bills of materials) are extracted for fabrication and construction from this 3D design.
If you've been living under a rock as of late, planks are isometric exercises used to strengthen and build endurance in the abdominals.
" How it works: "dynamic inertia," whereby shaking the oversized plastic dumbbell with short, rapid movements force your muscles to tighten (submaximal isometric contraction).
Isometric dimensioning in AutoCAD is easier than it looks.
Brad Thorpe RTSm, MATCS, Co-Founder of Striation 6 Global Limited, United States of America Patent holder (US8029423b2) and creator of the Isometric Training System.
Long ago, I was told that isometric exercises, like weight lifting, shouldn't be done by anyone with a heart condition.
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In science:

This proves that (Uj, gj ) is locally isometric to a standard Riemannian structure on S2k+1 .
Locally Sasakian Manifolds
X and Y are quasi-isometric if there exists a quasi-isometry X → Y .
Problems on the geometry of finitely generated solvable groups
Any two cocompact, discrete subgroups of a Lie group are quasi-isometric.
Problems on the geometry of finitely generated solvable groups
Dioubina [Di] has recently found examples which show that the class of ﬁnitely generated solvable groups is not quasi-isometrically rigid (see §2).
Problems on the geometry of finitely generated solvable groups
Dioubina’s examples show not only that the class of ﬁnitely-generated solvable groups is not quasi-isometrically rigid; they also show (see §4 below) that the answer to Question 2 for certain subclasses of solvable groups (e.g. abelian-by-cyclic) differs in the ﬁnitely presented and ﬁnitely generated cases. 3.
Problems on the geometry of finitely generated solvable groups
Hence G = C ≀ A and H = C ≀ B are quasi-isometric.
Problems on the geometry of finitely generated solvable groups
Hence the class of ﬁnitely-generated solvable groups is not quasi-isometrically rigid.
Problems on the geometry of finitely generated solvable groups
While the Polynomial Growth Theorem shows that the class of ﬁnitely generated nilpotent groups is quasi-isometrically rigid, the following remains an important open problem.
Problems on the geometry of finitely generated solvable groups
Let G be any ﬁnitely generated group quasi-isometric to Γ.
Problems on the geometry of finitely generated solvable groups
Then ΓM is quasi-isometric to ΓN if and only if there exist nonzero a, b ∈ R so that M a and N b have the same absolute Jordan form.
Problems on the geometry of finitely generated solvable groups
In order to study solv, it therefore becomes important to understand whether every quasi-isometrically embedded hyperbolic plane is quasi-vertical.
Problems on the geometry of finitely generated solvable groups
Map each triangle isometrically to a triangle in either an xtplane or a y t-plane, alternating around the four sides of the square.
Problems on the geometry of finitely generated solvable groups
Note that a (virtually) polycyclic group is never quasi-isometric to a (virtually) nonpolycyclic solvable group.
Problems on the geometry of finitely generated solvable groups
Dioubina, Instability of the virtual sovability and the property of being virtually torsion-free for quasi-isometric groups, preprint, November 1999. L.
Problems on the geometry of finitely generated solvable groups
Mosher, Quasi-isometric rigidity for the solvable Baumslag-Solitar groups.
Problems on the geometry of finitely generated solvable groups
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