midsphere

plural midspheres

1. A middle sphere or region.

   For rescue or personnel-transfer purposes, the midsphere could also, like DSRV, be equipped with a transfer bell.

   1968, Space Aeronautics, volume 49, page 61

   1 more example

   During a rescue operation, the mating system allows the transfer of rescuees from the disabled submarine to the midsphere of the DSRV via the transfer skirt which is rated to 20(K) feet.

   1992, Carl Edmonds, Christopher Lowry, John Pennefather, Diving and Subaquatic Medicine, page 512

2. solid geometrygeometryThe sphere which, if it exists, is tangent to every edge of a given polyhedron and with respect to which the polyhedron's vertices are the inversion poles of the planes of the faces of its dual polyhedron (and vice versa).

   A face of a Catalan solid can be simply constructed by the Dorman-Luke construction [3, 4, 6, 16], which is based on a dualization process known as polar reciprocation [6], with respect to the midsphere.

   2003, Rona Gurkewitz, Bennett Arnstein, Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, page 4

   2 more examples

   The edges are omitted as irrelevant to the present argument, but the midspheres are still included because Kepler rather casually substitutes the midsphere for the insphere of the octahedron, since it happens to give a value closer to the observed distance.

   1999, Richard Padovan, Proportion: Science, Philosophy, Architecture, page 260

   The Archimedean solids can all be inscribed in a sphere and in one of the Platonic solids. Their duals are the Catalan solids, with faces that are congruent but not regular (face-transitive); indtead of circumspheres like the Archimedean solids, they have inspheres. The midspheres, touching the edges, are common to both of them.

   2014, Walter Steurer, “Crystal Structures of Metallic Elements and Compounds”, in David E. Laughlin, Kazuhiro Hono, editors, Physical Metallurgy, 5th edition, volume 1, page 20

   Synonyms: intersphere, inversion sphere, reciprocating sphere

3. geometryThe sphere, between two given spheres, by which each of the latter may be inverted into the other.

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   1994, Tim Gallagher, Bruce Piper, Chapter 7: Convexity Preserving Surface Interpolation, Nickolas S. Sapidis, Designing Fair Curves and Surfaces, page 179, For any two circles (spheres) there always exists at least one midcircle (midsphere) which inverts the two given circles (spheres) into each other. in the older literature this is also known as the circle (sphere) of antisimilitude. […] The center of a midcircle (midsphere) is the center of similitude of two given circles (spheres). […] Clearly the midcircle (midsphere) of two equal circles (spheres) is the midline (midplane) between the two, which is partial justification for calling inversion in a circle or sphere reflection in a circle or sphere.

   Synonyms: sphere of antisimilitude

4. Vedicuncountablehuman sciencesA supposed realm between earth and heaven.

   The whole universe of these deities in divided in three spheres— earth, midsphere and sky.

   2009, Śaśi Tivārī, Alka B. Bakre, editors, Contemporary world order: a Vedic perspective, World Association for Vedic Studies, India Conference, page 173

   2 more examples

   This celestial river (Nadī) transforms into [the] terrestrial one (sindhu) after falling from heaven (midsphere) in the form of rain-drops.

   2003, Ravi Prakash Arya, New discoveries about Vedic Sarasvatī, page 22

   The smoke emitted by a burnt solid being vikāra of gaseous water, experiences upward acceleration to join the midsphere water.

   2005, Vishveshvaranand Indological Journal, volumes 43-44, page 48