USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE

USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE

This paper discusses about arc length of circles that connected any two points on a sphere. On a sphere, there are infinitely many circles that connect any two points. Using a monotone sequence of functions, we can show that the shortest arc length of circle that connect any two points on sphere is...

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Bibliographic Details
Main Authors: Muhammad Kabil Djafar, La Ode Safiuddin, Lilis Laome, Norma Muhtar, Herdi Budiman, Edi Cahyono, La. Gubu, Alfian Alfian, Indra Alamsyah, Askar Kohalsum
Format: Article
Language:English
Published: Universitas Pattimura 2025-07-01
Series:Barekeng
Subjects:
arc length
bounded sequence
increasing function
monotone sequence
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070
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Summary:This paper discusses about arc length of circles that connected any two points on a sphere. On a sphere, there are infinitely many circles that connect any two points. Using a monotone sequence of functions, we can show that the shortest arc length of circle that connect any two points on sphere is the circle with its center at the origin.
ISSN:1978-7227
2615-3017

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