单词 | solid angle |
释义 | > as lemmassolid 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. ΘΚΠ 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. < as lemmas |
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