Einige geometrischen Betrachtungen.

@article{SteinerEinigeGB,
  title={Einige geometrischen Betrachtungen.},
  author={J. Steiner},
  journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
  volume={1826},
  pages={161 - 184}
}
  • J. Steiner
  • Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
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References

SHOWING 1-2 OF 2 REFERENCES
Eine noch allgemeinere Aufgabe als (16.) ist folgende, welche in gewisser Art alle bisherigen Aufgaben als spezielle Fälle in sich schliefst
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