Isometrical projection

Definitions

  • Isometric projection
    Isometric projection
  • Webster's Revised Unabridged Dictionary
    • Isometrical projection a species of orthographic projection, in which but a single plane of projection is used. It is so named from the fact that the projections of three equal lines, parallel respectively to three rectangular axes, are equal to one another. This kind of projection is principally used in delineating buildings or machinery, in which the principal lines are parallel to three rectangular axes, and the principal planes are parallel to three rectangular planes passing through the three axes.
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Usage

In literature:

Orthographic and isometric projection are taught.
"The American Missionary -- Volume 48, No. 7, July, 1894" by Various
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In science:

Composing with the nearest point projection to Xg then, we have a quasi-isometric embedding of R3 into a product of Farey-graphs, which is impossible by [KL].
Coarse and synthetic Weil-Petersson geometry: quasi-flats, geodesics, and relative hyperbolicity
The action of Rn by translations in the y -coordinates is isometric and the projection M → U is a principal fiber bund le with structure group Rn .
Completeness in supergravity constructions
Corollary 2 Any complete projective special real manifold (H, gH ) of dimension n− 1 ≥ 0 admits a canonical realisation as a total ly geodesic submanifold of a complete projective special K¨ahler manifold (M , gM ) with a free isometric action of the group Rn .
Completeness in supergravity constructions
Theorem 5 The supergravity c-map maps any complete projective special K¨ahler domain (M , gM ) to a complete quaternionic K¨ahler manifold (N , gN ) of negative scalar curvature, which admits the free isometric action (3.4) of the group G.
Completeness in supergravity constructions
Corollary 3 Any complete projective special K¨ahler domain (M , gM ) admits a canonical realisation as a total ly geodesic K¨ahler submanifold of a complete quaternionic K¨ahler manifold (N , gN ) with a free isometric action of the group G.
Completeness in supergravity constructions
Let Φ : M → U ⊂ L be a smooth isometric immersion with respect to a Riemannian metric G on U and P : U → M a projection in the sense of Definition 3.12.
Area minimizers and boundary rigidity of almost hyperbolic metrics
Isometric square grid embeddings may be directly used as graph drawings, while planar projections of higher dimensional embeddings can be used to draw any partial cube , a class of graphs with many applications .
Isometric Diamond Subgraphs
Recall that a contractive linear pro jection P : X → Y is called an isometric reflection projection if I − 2P ∈ GX , or equivalently, if kI − 2P k = 1.
Convex-transitivity of Banach algebras via ideals
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