THE INVOLUTE-EVOLUTE OFFSETS OF RULED SURFACES

被引：0

作者：

Kasap, E. ^{[2
]}

Yuce, S. ^{[1
]}

Kuruoglu, N. ^{[3
]}

机构：

[1] Yildiz Tech Univ, Dept Math, Fac Arts & Sci, TR-34210 Istanbul, Turkey

[2] Ondokuz Mayis Univ, Sci & Arts Fac, Dept Math, TR-55139 Kurupelit, Samsun, Turkey

[3] Univ Bahcesehir, Fac Arts & Sci, Dept Math & Comp Sci, TR-34100 Istanbul, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2009年 / 33卷 / A2期

关键词：

Ruled Surface; involute-evolute; differential geometry;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, a generalization of the theory of involute-evolute curves is presented for ruled surfaces based on line geometry. Using lines instead of points, two ruled surfaces which are offset in the sense of involute-evolute are defined. Moreover, the found results are clarified using computer-aided examples.

引用

页码：195 / 201

页数：7

共 7 条

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[J]. Computer Aided Geometric Design, 1986, 3 (01): : 15 - 43
[3] Farouki R. T., 1984, Computer-Aided Geometric Design, V2, P257, DOI 10.1016/S0167-8396(85)80002-9
[4] Huyghens C., 1963, HOROLOGIUM ASCILLA 3
[5] Karadag HB, 2005, IRAN J SCI TECHNOL A, V29, P455
[6] BERTRAND OFFSETS OF RULED AND DEVELOPABLE SURFACES
RAVANI, B
KU, TS
[J]. COMPUTER-AIDED DESIGN, 1991, 23 (02) : 145 - 152
[7] Tosun M, 2005, IRAN J SCI TECHNOL A, V29, P325

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