Synthesis of planar five-bar pantograph configurations by a geometric method

Deng Maw Lu, Wen Miin Hwang

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We present a geometric method for structural synthesis of planar five-bar pantograph configurations. Based on the concept of similarly varying triangles, the geometric conditions for a five-bar linkage to be a pantograph are derived according to a complex number approach. Under these conditions, a geometric procedure is proposed to synthesize all five-bar pantograph configurations with four or three similarity points systematically. In total 13 configurations with four similarity points and 23 configurations with three similarity points are obtained. The results of this work provide a complete atlas of pantograph configurations superior to existing ones.

Original languageEnglish
Pages (from-to)11-21
Number of pages11
JournalMechanism and Machine Theory
Issue number1
Publication statusPublished - 1996 Jan

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications


Dive into the research topics of 'Synthesis of planar five-bar pantograph configurations by a geometric method'. Together they form a unique fingerprint.

Cite this