Citations:soppi

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Finnish citations of soppi

Noun: "solid angle, spatial angle"

  • 1958, Eino Kaila, “Einstein-Minkowskin invarianssiteoria”, in Ajatus : Suomen filosofisen yhdistyksen vuosikirja, volume 21, Helsinki: Suomalaisen Kirjallisuuden Kirjapaino Oy, →ISSN, page 45:
    Todistuksen pääperuste on se aikaisemmin (XI, 21) todistettu teoreema, että avaruuskulma eli soppi voi muodostua vain sellaisista tasokulmista, joiden yhteenlaskettu kulmainsumma on vähemmän kuin neljä suoraa. Jos siis sopen kunkin sivutason kulma on esimerkiksi suora, niin kolme kulmaa voi muodostaa sopen (jolloin saadaan kuutio), mutta ei enää neljää, koska silloin saadaan taso.
    The fundamental basis for the proof is the theorem proven earlier (XI, 21), which states that a spatial angle (or solid angle) can only be formed from plane angles whose total sum is less than four right angles. So, if the angle for each plane of the solid angle is, for example, a right angle, then three such angles can form a solid angle (resulting in a cube), but not four, as that would result in a plane.