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单词 solid angle
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solid angle
solid angle n. Mathematics (a) a vertex of a three-dimensional body; (b) a quantity associated with a vertex or the like in three dimensions, being proportional to the fraction of a sphere centred on it which would subtend it, and conventionally measured in steradians, of which 4π make up the whole sphere.
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the world > relative properties > number > geometry > angle > [noun] > solid angle
solid angle1704
summit angle1805
summit1809
summit-quoin1895
the world > relative properties > number > geometry > shape or figure > [noun] > element of > corner or vertex
vertex1570
cant1611
apex1659
solid angle1704
summit1809
1704 J. Harris Lexicon Technicum I Solid Angle, is an Angle made by the meeting of three or more Planes, and those joining in a Point.
1798 C. Hutton Course Math. I. 327 Similar Solids, contained by plane figures, are such as have all their solid angles equal..and are bounded by the same number of similar planes.
1814 P. Barlow New Math. & Philos. Dict. (at cited word) Solid angles may be computed and compared with each other, as to quantity, by considering the angular point as the centre of a sphere, and the portion of its surface intercepted between the bounding planes as the measure of the angles.
1820 N. J. Larkin Introd. Solid Geom. 5 [The tetrahedron] differs from every other solid, whose faces are all equal, by having a solid angle opposite to each face.
1928 Bureau Standards Jrnl. Res. (U.S.) 1 34 The integrals are to be evaluated..over the surface of a hemisphere (solid angle 2π).
1948 Research I. 394/2 Substances..similar to a black body radiating in a solid angle of 2π.
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