## THERMAL SCIENCE

International Scientific Journal

### THE DUAL SPATIAL QUATERNIONIC EXPRESSION OF RULED SURFACES

**ABSTRACT**

In this paper, the ruled surface which corresponds to a curve on dual unit sphere is rederived with the help of dual spatial quaternions. We extend the term of dual expression of ruled surface using dual spatial quaternionic method. The correspondences in dual space of closed ruled surfaces are quaternionically expressed. As a consequence, the integral invariants of these surfaces and the relationships between these invariants are shown.

**KEYWORDS**

PAPER SUBMITTED: 2018-11-25

PAPER REVISED: 2018-12-26

PAPER ACCEPTED: 2019-01-26

PUBLISHED ONLINE: 2019-03-09

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 1**, PAGES [S403 - S411]

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