The Notational Places in Āryabhaṭīyam - Revision history

Ramamurthy: Headings modified

2023-09-01T08:58:49Z

Headings modified

← Older revision		Revision as of 14:28, 1 September 2023
Line 1:		Line 1:
	~~==Introduction==~~
	Here we will know the place values as per Āryabhaṭīyam.		Here we will know the place values as per Āryabhaṭīyam.

	==Verse==		==Verse==
	एकं च दश च शतं च सहस्रं त्वयुतनियुते तथा प्रयुतम् ।		एकं च दश च शतं च सहस्रं त्वयुतनियुते तथा प्रयुतम् ।

Ramamurthy: Category updated

2023-08-16T13:38:55Z

Category updated

← Older revision		Revision as of 19:08, 16 August 2023
Line 99:		Line 99:
	<references />		<references />
	[[Category:Mathematics in Āryabhaṭīyam]]		[[Category:Mathematics in Āryabhaṭīyam]]
			[[Category:General]]

Mani: updated Redirecting link to the Hindi Page

2023-07-31T08:38:48Z

updated Redirecting link to the Hindi Page

← Older revision		Revision as of 14:08, 31 July 2023
Line 95:		Line 95:
	*In Mahāvīrācārya's Gaṇitasārasaṅgraha - 10<sup>24</sup> (mahākṣobham - महाक्षोभम्)		*In Mahāvīrācārya's Gaṇitasārasaṅgraha - 10<sup>24</sup> (mahākṣobham - महाक्षोभम्)
	==See Also==		==See Also==
	[https://alpha.indicwiki.in/index.php?title=%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F%E0%A5%80%E0%A4%AF%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%95%E0%A5%87%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%A8%27 आर्यभटीयम् में 'सांकेतिक स्थान']		[[आर्यभटीयम् में 'सांकेतिक स्थान']]
	==References==		==References==
	<references />		<references />
	[[Category:Mathematics in Āryabhaṭīyam]]		[[Category:Mathematics in Āryabhaṭīyam]]

Ramamurthy: New Page created

2023-07-31T08:09:51Z

New Page created

New page

==Introduction==
Here we will know the place values as per Āryabhaṭīyam.
==Verse==
एकं च दश च शतं च सहस्रं त्वयुतनियुते तथा प्रयुतम् ।

कोट्यर्बुदं च वृन्दं स्थानात् स्थानं दशगुणं स्यात् ॥
==Translation==
Ekam (units place), daśa (tens place) , śatam (hundreds place), sahasram (thousands place) , ayutam (ten thousands place) , niyutam (lakhs place) , prayutam (ten lakhs place) , koṭiḥ (crores place), arbudam (ten crores place), vṛndam (hundred crores place) are respectively from place to place , each ten times the preceding.<ref>{{Cite book|title=Āryabhaṭīyam (Gaṇitapādaḥ)|publisher=Samskrit Promotion Foundation|year=2023|isbn=|location=Delhi|pages=3-5|language=Saṃskṛta}}</ref>
{| class="wikitable"
|+
!Position
!Name
!Place Value
|-
|1
|Ekam (एकम्)
|1
|-
|2
|Daśa (दश)
|10
|-
|3
|Śatam (शतम्)
|100
|-
|4
|Sahasram (सहस्रम्)
|1000
|-
|5
|Ayutam (अयुतम्)
|10000
|-
|6
|Niyutam (नियुतम्)
|100000
|-
|7
|Prayutam (प्रयुतम्)
|1000000
|-
|8
|Koṭiḥ (कोटिः)
|10000000
|-
|9
|Arbudam (अर्बुदम्)
|100000000
|-
|10
|Vṛndam (वृन्दम्)
|1000000000
|}
{| class="wikitable"
|+
|109
|108
|107
|106
|105
|104
|103
|102
|101
|100
|-
|0
|0
|0
|0
|0
|0
|0
|0
|0
|0
|-
|hundred crores place
|ten crores place
|crores place
|ten lakhs place
|lakhs place
|ten thousands place
|thousands place
|hundreds place
|Tens place
|Units place
|}In this śloka Āryabhaṭa defines 10 place values. In India numbers larger than (109) were in use.

Examples -
*In Yajurveda - 1019 (lokaḥ - लोकः)
*In Vālmīkirāmāyaṇa - Yuddhakāṇḍa 28th sarga - 1060 (mahaughaḥ - महौघः)
*In Bhāskarācāryā's (2nd) Līlāvatī - 1017 (Parārdham -परार्धम् )
*In Mahāvīrācārya's Gaṇitasārasaṅgraha - 1024 (mahākṣobham - महाक्षोभम्)
==See Also==
[https://alpha.indicwiki.in/index.php?title=%E0%A4%86%E0%A4%B0%E0%A5%8D%E0%A4%AF%E0%A4%AD%E0%A4%9F%E0%A5%80%E0%A4%AF%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%95%E0%A5%87%E0%A4%A4%E0%A4%BF%E0%A4%95_%E0%A4%B8%E0%A5%8D%E0%A4%A5%E0%A4%BE%E0%A4%A8%27 आर्यभटीयम् में 'सांकेतिक स्थान']
==References==
<references />
[[Category:Mathematics in Āryabhaṭīyam]]