Measures in Pāṭīgaṇitam - Revision history

Ramamurthy at 08:29, 1 September 2023

2023-09-01T08:29:52Z

← Older revision		Revision as of 13:59, 1 September 2023
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			Here we will be knowing the various measures mentioned in Pāṭīgaṇitam.

	~~==Introduction==~~
	~~Here we will be knowing the various measures mentioned in Pāṭīgaṇitam.~~
	==Money measures==		==Money measures==
	===Verse===		===Verse===

Ramamurthy: /* See Also */

2023-08-24T10:17:49Z

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	==Table of Weights==		==Table of Weights==
	===Verse===		===Verse ===
	माषो दशार्द्धगुञ्जः षोडशमाषो निगद्यते कर्षः ।		माषो दशार्द्धगुञ्जः षोडशमाषो निगद्यते कर्षः ।

	स सुवर्णस्य सुवर्णस्तैरेव पलं चतुर्भिश्च ॥ १० ॥ .		स सुवर्णस्य सुवर्णस्तैरेव पलं चतुर्भिश्च ॥ १० ॥ .
	===Translation ===		===Translation===
	A māṣa is equal in weight to five guñjas (Abrus seeds). A weight of sixteen māṣas is called a karṣa. A karṣa of gold is called a suvarṇa and four karṣas make a pala.		A māṣa is equal in weight to five guñjas (Abrus seeds). A weight of sixteen māṣas is called a karṣa. A karṣa of gold is called a suvarṇa and four karṣas make a pala.
	{\| class="wikitable"		{\| class="wikitable"
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	\|''60 ghaṭīs make a day-and-night''		\|''60 ghaṭīs make a day-and-night''
	''30 day-and-nights make a month''		''30 day-and-nights make a month''

			''12 months make a year.''
	\|}		\|}
	==See Also==		==See Also==

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	स सुवर्णस्य सुवर्णस्तैरेव पलं चतुर्भिश्च ॥ १० ॥ .		स सुवर्णस्य सुवर्णस्तैरेव पलं चतुर्भिश्च ॥ १० ॥ .
	===Translation===		===Translation ===
	A māṣa is equal in weight to five guñjas (Abrus seeds). A weight of sixteen māṣas is called a karṣa. A karṣa of gold is called a suvarṇa and four karṣas make a pala.		A māṣa is equal in weight to five guñjas (Abrus seeds). A weight of sixteen māṣas is called a karṣa. A karṣa of gold is called a suvarṇa and four karṣas make a pala.
	{\| class="wikitable"		{\| class="wikitable"

Ramamurthy: /* Translation */

2023-08-24T09:25:11Z

Translation

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	\|''60 ghaṭīs make a day-and-night''		\|''60 ghaṭīs make a day-and-night''
	''30 day-and-nights make a month''		''30 day-and-nights make a month''

	~~''12 months make a year.''~~
	\|}		\|}
	==See Also==		==See Also==

Ramamurthy: New Page created

2023-08-24T09:23:52Z

New Page created

New page

==Introduction==
Here we will be knowing the various measures mentioned in Pāṭīgaṇitam.
==Money measures==
===Verse===
षोडशपणः पुराणः पणों भवेत् काकिणींचतुष्केण ।

पञ्चाहतैश्चतुर्भिर्वराटकैः काकिणो चैका ॥ ९ ॥
===Translation===
A purāṇa is equivalent to sixteen paṇas. A paṇa is equivalent to four kākiṇīs. A kākiṇī is equivalent to twenty varāṭakas (cowries).<ref>{{Cite book|last=Shukla|first=Kripa Shankar|title=The Pāṭīgaṇita of Śrīdharācārya.|publisher=Lucknow University|year=1959|location=Lucknow|pages=3-4}}</ref>
{| class="wikitable"
|''1 purāṇa = 16 paṇas''
''1 paṇa = 4 kākiṇī''

''1 kākiṇī = 20 varāṭakas''
|}
==Table of Weights==
===Verse===
माषो दशार्द्धगुञ्जः षोडशमाषो निगद्यते कर्षः ।

स सुवर्णस्य सुवर्णस्तैरेव पलं चतुर्भिश्च ॥ १० ॥ .
===Translation===
A māṣa is equal in weight to five guñjas (Abrus seeds). A weight of sixteen māṣas is called a karṣa. A karṣa of gold is called a suvarṇa and four karṣas make a pala.
{| class="wikitable"
|''1 māṣa = 5 guñjas''
''16 māṣas = 1 karṣa''

''4 karṣas = 1 pala.''
|}
==Table of Measures of Capacity==
===Verse===
खार्येका षोडशभिर्द्रोणैश्चतुराढको भवेद् द्रोणः ।

प्रस्थैश्चतुर्भिराढकमेकः प्रस्थश्चतुष्कुडवः ॥ ११ ॥
===Translation===
A khārī is equal to sixteen droṇas; a droṇa is equal to four āḍhakas; an āḍhaka is equal to four prasthas; and a prastha is equal to four kuḍavas.
{| class="wikitable"
|''1 khārī = 16 droṇas''
''1 droṇa = 4 āḍhakas''

''1 āḍhaka = 4 prasthas''

''1 prastha = 4 kuḍavas.''
|}The terms droṇa, āḍhaka and kuḍava are also found to be mentioned in the Vedāṅga-Jyotiṣa where an āḍhaka is defined to be a vessel capable of holding 50 palas of water.

According to the commentator of the present work there are 3200 palas in a khārī, so that
{| class="wikitable"
|''1 droṇa = 200 palas''
''1 āḍhaka = 50 palas''

''1 prastha = 12½ palas''

''1 kuḍava = 3⅛ palas''
|}Thus we see that the āḍhaka used in the time and locality of the commentator was the same as that used in the time of the Vedāṅga-Jyotiṣa.
==Table of Linear Measures==
===Verse===
हस्तोऽङ्गुलविंशत्या चतुरन्वितया चतुष्करो दण्डः ।

तद् द्विसहस्रं क्रोशो योजनमेकं चतुष्क्रोशम् ॥ १२ ॥
===Translation===
Twenty-four aṅgulas (finger-breadths) make a hasta (cubit); four hastas make a daṇḍa (staff); two thousand of them make a krośa; and four krośas make a yojana.
{| class="wikitable"
|''24 aṅgulas = 1 hasta''
''4 hastas = 1 daṇḍa''

''2000 daṇḍas = 1 krośa''

''4 krośas = 1 yojana''
|}
==Table of time-measures==
===Verse===
भवति घटीनां षष्टयाऽहोरात्रस्तैस्त्रिसङ्गुणैर्दशभिः ।

मासो द्वादशभिस्तैर्वर्षं गणितेऽत्र परिभाषा ॥ १३ ॥
===Translation===
Sixty ghaṭīs make a nychthemeron (a day-and-night); thirty of them make a month; twelve of them make a year. These are the definitions (used) in this (Pāṭī) gaṇita.
{| class="wikitable"
|''60 ghaṭīs make a day-and-night''
''30 day-and-nights make a month''

''12 months make a year.''
|}
==See Also==
[https://alpha.indicwiki.in/index.php?title=%E0%A4%AA%E0%A4%BE%E0%A4%9F%E0%A5%80%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%AE%E0%A4%BE%E0%A4%AA%27 पाटीगणितम् में 'माप']
==References==
<references />
[[Category:Mathematics in Pāṭīgaṇitam]]
[[Category:General]]

← Older revision		Revision as of 15:47, 24 August 2023
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	==See Also==		==See Also==
	[~~https://alpha.indicwiki.in/index.php?title=%E0%A4%AA%E0%A4%BE%E0%A4%9F%E0%A5%80%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D_%E0%A4%AE%E0%A5%87%E0%A4%82_%27%E0%A4%AE%E0%A4%BE%E0%A4%AA%27~~ पाटीगणितम् में 'माप']		[[पाटीगणितम् में 'माप']]
	==References==		==References==
	<references />		<references />
	[[Category:Mathematics in Pāṭīgaṇitam]]		[[Category:Mathematics in Pāṭīgaṇitam]]
	[[Category:General]]		[[Category:General]]