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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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:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070
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author Muhammad Kabil Djafar
La Ode Safiuddin
Lilis Laome
Norma Muhtar
Herdi Budiman
Edi Cahyono
La. Gubu
Alfian Alfian
Indra Alamsyah
Askar Kohalsum
author_facet Muhammad Kabil Djafar
La Ode Safiuddin
Lilis Laome
Norma Muhtar
Herdi Budiman
Edi Cahyono
La. Gubu
Alfian Alfian
Indra Alamsyah
Askar Kohalsum
author_sort Muhammad Kabil Djafar
collection DOAJ
description 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.
format Article
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institution DOAJ
issn 1978-7227
2615-3017
language English
publishDate 2025-07-01
publisher Universitas Pattimura
record_format Article
series Barekeng
spelling doaj-art-07ea516827e94167a761c2cbaf2e8d382025-08-20T03:02:54ZengUniversitas PattimuraBarekeng1978-72272615-30172025-07-011931923193210.30598/barekengvol19iss3pp1923-193217070USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHEREMuhammad Kabil Djafar0La Ode Safiuddin1Lilis Laome2Norma Muhtar3Herdi Budiman4Edi Cahyono5La. Gubu6Alfian Alfian7Indra Alamsyah8Askar Kohalsum9Mathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaDepartment of Physical Education, Faculty of Teaching and Educational Science, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaMathematical Department, Faculty of Mathematics and Natural Sciences, Universitas Halu Oleo, IndonesiaThis 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.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070arc lengthbounded sequenceincreasing functionmonotone sequence
spellingShingle Muhammad Kabil Djafar
La Ode Safiuddin
Lilis Laome
Norma Muhtar
Herdi Budiman
Edi Cahyono
La. Gubu
Alfian Alfian
Indra Alamsyah
Askar Kohalsum
USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
Barekeng
arc length
bounded sequence
increasing function
monotone sequence
title USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
title_full USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
title_fullStr USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
title_full_unstemmed USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
title_short USING A MONOTONE SEQUENCE OF FUNCTIONS TO DETERMINE THE SHORTEST ARC LENGTH OF CIRCLES CONNECTED ANY TWO POINTS ON SPHERE
title_sort using a monotone sequence of functions to determine the shortest arc length of circles connected any two points on sphere
topic arc length
bounded sequence
increasing function
monotone sequence
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17070
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