Arthashastra · Chapter 41
Book 2, Chapter 20: Measurement of Space and Time
Translated by R. Shamasastry (1915, public domain), 1915. Public domain.
The Sanskrit text and the translation are aligned at chapter level, not sentence by sentence. Sutra numbers follow the critical edition (book.chapter.sutra).
- 2.20.1
मान-अध्यक्ष्यो देश-काल-मानं विद्यात्
- 2.20.2
अष्टौ परम-अणवो रथ-चक्र-विप्रुट्
- 2.20.3
ता अष्टौ लिक्षा
- 2.20.4
ता अष्तौ यूका
- 2.20.5
ता अष्टौ यव-मध्यः
- 2.20.6
अष्टौ यव-मध्या अङ्गुलं
- 2.20.7
मध्यमस्य पुरुषस्य मध्यमाया अनुगुल्या मध्य-प्रकर्षो वाअङ्गुलं
- 2.20.8
चतुर्-अङ्गुलो धनुर्-ग्रहः
- 2.20.9
अष्ट-अङ्गुला धनुर्-मुष्टिः
- 2.20.10
द्वादश-अङ्गुला वितस्तिः । छाया-पौरुषं च
- 2.20.11
चतुर्-दश-अङ्गुलं शमः शलः परीरयः पदं च
- 2.20.12
द्वि-वितस्तिररत्निः प्राजापत्यो हस्तः
- 2.20.13
सधनुर्-ग्रहः पौतव-विवीत-मानं
- 2.20.14
सधनुर्-मुष्टिः कुष्कुः कंसो वा
- 2.20.15
द्वि-चत्वारिंशद्-अङ्गुलस्तक्ष्णः क्राकचनिक-किष्कुः स्कन्ध-आवार-दुर्ग-राज-परिग्रह-मानं
- 2.20.16
चतुष्-पञ्चाशद्-अङ्गुलः कूप्य-वन-हस्तः
- 2.20.17
चतुर्-अशीत्य्-अङ्गुलो व्यामो रज्जु-मानं खात-पौरुषं च
- 2.20.18
चतुर्-अरत्निर्दण्डो धनुर्-नालिका पौरुषं च गार्हपत्यं
- 2.20.19
अष्ट-शत-अङ्गुलं धनुः पथि-प्राकार-मानं पौरुषं चाग्नि-चित्यानां
- 2.20.20
षट्-कंसो दण्डो ब्रह्म-देय-आतिथ्य-मानं
- 2.20.21
दश-दण्डो रज्जुः
- 2.20.22
द्वि-रज्जुकः परिदेशः
- 2.20.23
त्रि-रज्जुकं निवर्तनं एकतः
- 2.20.24
द्वि-दण्ड-अधिको बाहुः
- 2.20.25
द्वि-धनुः-सहस्रं गो-रुतं
- 2.20.26
चतुर्-गो-रुतं योजनं
- 2.20.27
इति देश-मानं
- 2.20.28
काल-मानं अत ऊर्ध्वं
- 2.20.29
तुटो लवो निमेषः काष्ठा कल्ला नालिका मुहूर्तः पूर्व-अपर-भागौ दिवसो रात्रिः पक्षो मास ऋतुरयनं संवत्सरो युगं इति कालाः
- 2.20.30
द्वौ तुटौ लवः
- 2.20.31
द्वौ लवौ निमेषः
- 2.20.32
पञ्च-निमेषाः काष्ठाः
- 2.20.33
त्रिंशत्-काष्ठाः कलाः
- 2.20.34
चत्वारिंशत्-कलाः नालिका
- 2.20.35
सुवर्ण-माषकाश्चत्वारश्चतुर्-अङ्गुल-आयामाः कुम्भच्-छिद्रं आढकं अम्भसो वा नालिका
- 2.20.36
द्वि-नालिको मुहूर्तः
- 2.20.37
पञ्च-दश-मुहूर्तो दिवसो रात्रिश्च चैत्रे चऽश्वयुजे च मासि भवतः
- 2.20.38
ततः परं त्रिभिर्मुहूर्तैरन्यतरः षण्-मासं वर्धते ह्रसते चैति
- 2.20.39
छायायां अष्ट-पौरुष्यां अष्टादश-भागश्छेदः । षट्-पौरुष्यां चतुर्-दश-भागः । त्रि-पौरुष्यां अष्ट-भागः । द्वि-पौरुष्यां षड्-भागः । पौरुष्यां चतुर्-भागः । अष्ट-अङ्गुलायां त्रयो दश-भागाः । चतुर्-अङ्गुलायां त्रयोअष्ट-भागाः । अच्छायो मध्य-अह्न इति
- 2.20.40
परावृत्ते दिवसे शेषं एवं विद्यात्
- 2.20.41
आषाढे मासि नष्टच्-छायो मध्य-अह्नो भवति
- 2.20.42
अतः परं श्रावण-आदीनां षण्-मासानां द्व्य्-अङ्गुल-उत्तरा माघ-आदीनां द्व्य्-अङ्गुल-अवरा छाया इति
- 2.20.43
पञ्चदश-अहो-रात्राः पक्षः
- 2.20.44
सोम-आप्यायनः शुक्लः
- 2.20.45
सोम-अवच्छेदनो बहुलः
- 2.20.46
द्वि-पक्षो मासः
- 2.20.47
त्रिंशद्-अहो-रात्रः कर्म-मासः
- 2.20.48
सार्धः सौरः
- 2.20.49
अर्ध-न्यूनश्चान्द्र-मासः
- 2.20.50
सप्त-विंशतिर्नाक्षत्र-मासः
- 2.20.51
द्वात्रिंशद्बल-मासः
- 2.20.52
पञ्चत्रिंशदश्व-वाहायाः
- 2.20.53
चत्वारिंशद्द्-हस्ति-वाहायाः
- 2.20.54
द्वौ मासावृतुः
- 2.20.55
श्रावणः प्रौष्ठपदश्च वर्षाः
- 2.20.56
आश्वयुजः कार्त्तिकश्च शरत्
- 2.20.57
मार्ग-शीर्षः पौषश्च हेमन्तः
- 2.20.58
माघः फाल्गुनश्च शिशिरः
- 2.20.59
चैत्रो वैशाखश्च वसन्तः
- 2.20.60
ज्येष्ठामूलीय आषाढश्च ग्रीष्मः
- 2.20.61
शिशिर-आद्युत्तर-अयणं
- 2.20.62
वर्ष-आदि दक्षिण-अयनं
- 2.20.63
द्व्य्-अयनः संवत्सरः
- 2.20.64
पञ्च-संवत्सरो युगं इति
- 2.20.65
दिवसस्य हरत्यर्कः षष्टि-भागं ऋतौ ततः करोत्येकं अहश्-छेदं तथाएवएकं च चन्द्रमाः
- 2.20.66
एवं अर्ध-तृतीयानां अब्दानां अधिमासकं ग्रीष्मे जनयतः पूर्वं पञ्च-अब्द-अन्ते च पश्चिमं
THE Superintendent of lineal measure shall possess the knowledge of measuring space and time.
atoms (paramdnavah) are
1 particle thrown off by the wheel of a chariot.
8 particles are equal to 1 likshd.
8 likshds are equal to the middle of a yúáka (louse) or a yúka of medium size.
8 yukas are equal to 1 yava (barley) of middle size.
1 angula (* of an English inch) or the middlemost joint 8 yavas are equal to of the middle finger of a man of medium size may be
taken to be equal to an angula. 4 angulas are equal to 1 dhanurgraha. 8 angulas are equal to 1 dhanurmushti. 12 angulas are equal to 1 vitasti, or 1 chhaydpaurusha. 14 angulas are equal to 1 sama, sala, pariraya, or pada. 2 vitastis are equal to 1 aratni or 1 prájápatya hasta 2 vitastis plus | dhanurgraha arel hasta used in measuring balances and cubic measures, equal to and pasture lands. 2 vitastis plus 1 dhanurmusti 1 kishku or 1 kamsa.
1 kishku according to sawyers and blacksmiths and used 42 angulas are equal to in measuring the grounds for the encampment of the
army, for forts and palaces. 54 angulas are equal to 1 hasta used in measuring timber forests. i
1 vyáma, used in measuring ropes and the depth of
angulas are equal to
digging, in terms of a man's height. 4 aratnis are equal to 1 danda, 1 dhanus, 1 nálika and 1 paurusha. 108 angulas are equal to 1 garhapatya dhanus (i.e., a measure used by carpenters
called grihapati). This measure is used in measuring
roads and fort-walls.
The same (108 angulas) are 1 paurusha, a measure used in building sacrificial altars.
6 kamsas or 192 angulas arel danda, used in measuring such lands as are gifted to
10 dandas are equal to 1 rajju.
2 rajjus are equal to 1 paridesa (square measure).
3 rajjus are equal to 1 nivartana (square measure). The same (3 rajjus) plus 2
dandas on one side only are 1 báhu (arm).
1000 dhanus are equal to 1 goruta (sound of a cow). 4 gorutas are equal to 1 yojana.
Thus are the lineal and square measures dealt with. Then with regard to the measures of time:---
(The divisions of time are) a truti, lava, nimesha, kdashthd, kala, náliká, muhirta, forenoon, afternoon, day, night, paksha, month, ritu (season), ayana (solstice); samvatsara (year), and
2 trutis are equal to 1 lava. 2 lavas are equal to 1 nimesha. 5
nimeshas are equal to l káshthá. káshthás are equal to 1 kalá.
1 náliká, or the time during which one ádhaka of water passes 40 kalás are equal to out of a pot through an aperture of the same diameter as that of a
wire of 4 angulas in length and made of 4 máshas of gold. 2 nálikas are equal to 1 muhúrta. 15 muhúrtas are
equal to 1 day or 1 night.
Such a day and night happen in the months of Chaitra and Asvayuja. Then after the period of six months it increases or diminishes by three muhúrtas.
When the length of shadow is eight paurushas (96 angulas), it is 1/18th part of the day.
When it is 6 paurushas (72 angulas), it is 1/14th part of the day; when 4 paurushas, 1/8th part; when 2 paurushas, 1/6th part; when 1 paurusha, Y4th part; when it is 8 angulas, 3/10th part (trayodasabhagah); when 4 angulas, 3/8th part; and when no shadow is cast, it is to be considered midday.
Likewise when the day declines, the same process in reverse order shall be observed.
It is in the month of Ashddha that no shadow is cast in midday. After Ashddha, during the six months from Srdvana
upwards, the length of shadow successively increases by two angulas and during the next six months from Mágha upwards, it successively decreases by two angulas.
Fifteen days and nights together make up one paksha. That paksha during which the moon waxes is white (sukla) and that paksha during which the moon wanes is bahula.
Two pakshas make one month (mása). Thirty days and nights together make one work-a-month (prakarmamdsah). The same (30 days and nights) with an additional half a day makes one solar month (saura).
The same (30) less by half a day makes one lunar month
(chandramdsa). Twenty-seven (days and nights) make a
sidereal month (nakshatramdsa). Once in thirty-two months
there comes one malamdsa profane month, i.e., an extra
month added to lunar year to harmonise it with the solar. Once in thirty-five months there comes a malamdsa for Asvavdhas. Once in forty months there comes a malamasa for hastivahas. Two months make one ritu (season). Srdvana and
proshthapada make the rainy season (varshd). Asvayuja and
Karthika make the autumn (sarad). Margasirsha and Phausha make the winter (hemanta). Magha and Phalguna make the dewy season (sisira). Chaitra and Vaisdkha make the spring (vasanta). Jyeshthdmiliya and Ashddha make the summer (grishma). Seasons from sisira and upwards are the
summer-solstice (uttardyana), and (those)
from varshd and upwards are the winter solstice (dakshindyana). Two solstices (ayanas) make one year (samvatsara). Five years make one yuga. The sun carries off (harati) 1/60th of a whole day every day and thus makes one complete day in every two months
(ritau). Likewise the moon (falls behind by 1/60th of a
whole day every day and falls behind one day in every two months). Thus in the middle of every third year, they (the sun and the moon) make one adhimdsa, additional month, first in the summer season and second at the end of five years.