Journals / Mathematical and Computational Applications / 1998 / Cilt: 3 - Sayı: 1

The tangent conoids family which depends on the ruled surface

Pages
49–57
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

At the end of this study, the concept of tangent congruence for some special congruences has been examined.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, a new congruence [A**] has been defined by putting a tangent right conoid on each line of a ruled surface $(A_1(s))$ of a line congruence [A].
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Key Findings & Data:Then, by considering special case of the congruence [A**] which has been defined in the previous part, the concepts of tangent congruence, drall and the relation among Blaschke vectors of Blaschke trihedrons, having common line $A_0$, has been examined for this special case.
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Conclusion & Impact:At the end of this study, the concept of tangent congruence for some special congruences has been examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, a new congruence [A**] has been defined by putting a tangent right conoid on each line of a ruled surface $(A_1(s))$ of a line congruence [A]. Then, by considering special case of the congruence [A**] which has been defined in the previous part, the concepts of tangent congruence, drall and the relation among Blaschke vectors of Blaschke trihedrons, having common line $A_0$, has been examined for this special case. At the end of this study, the concept of tangent congruence for some special congruences has been examined.

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Cite This Article

ÖZYILMAZ, E. (1998). The tangent conoids family which depends on the ruled surface. Mathematical and Computational Applications, Cilt: 3 - Sayı: 1, 49–57. https://ajindex.com/articles/280420

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