Generalization of Steiner formula for the homothetic motions on the planar kinematics

KURUOĞLU N., DÜLDÜL M., Tutar A.

Applied Mathematics and Mechanics (English Edition), cilt.24, sa.8, ss.945-949, 2003 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 8
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1007/bf02446500
  • Dergi Adı: Applied Mathematics and Mechanics (English Edition)
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.945-949
  • Anahtar Kelimeler: Holditch theorem, Homothetic motion, Steiner formula
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

The Steiner formula and the mixture area formula given by Muller were expressed under the one-parameter closed planar homothetic motions in the complex sense. Also, using the generalization of Steiner formula, the result of Holditch theorem for homothetic motions is got. In the case of the homothetic scale h≡1 the results given by Muller are obtained as a special case.