Katya-ayana S`ulba-sutra


p. iii "In the present book, the S`ulba has been [re]produced along with the two Sanskrit commentaries by Karka and Mahidhara".


0.1 (p. vii) experts in aspects of kalpa sutra

sankhya-jn~a (arithmetic-knower)

pariman.a-jn~a (mensuration-knower)

samasutra niran~chaka (rope-stretcher))

pariprachaka ("enquisitive")


0.2 (p. vii) the 6 Veda-anga-s

S`iks.a (pronunciation)

Chanda (poie:tic metrics)

Vyakaran.a (grammar)

Nirukta (etymology)

Jyotis.a (astronomy)

Kalpa (ritual)


0.2 (p. viii) the 3 sorts of Kalpa Sutra-s

S`rauta Sutra (public rites in honor of the deities)

Gr.hya Sutra (domestic rites for private individuals -- for birth, marriage, death)

Dharma Sutra (state law, both civil and criminal)

I.2 (p. ix) The S`ulba Sutra-s constitute one category of S`rauta Sutra-s.

{/S`ulba/ 'rope, cord' must be cognate with English /help/, Old Norse /hjalpan/, and also with (cited in EI-EC, p. 266b) Lithuanian /s`elpiu`/ 'help'.}

EI-EC = J. P. Mallory & D. Q. Adams (edd.) : Encyclopedia of Indo-European Culture. FitzRoy Dearborn Publ, London, 1997. https://books.google.com/books?id=tzU3RIV2BWIC&pg=PA266&lpg=PA266&dq=


0.3 (p. ix) the 10 commonly enumerated S`ulba Sutra-s

the __ S`ulba Sutra

belongeth to the __ Yajus Veda

Baudha-ayana {'waking walk'}

Kr.s.n.a ('Black')

Apa-stamba {'interior of vessel'}

Satya-as.ad.ha {'truth invincible'} a.k.a. Hiran.ya-kes`in {'gold-haired'}

Manava {'human'}

Maitra-ayan.iya {'amicably walking'}

Varaha {'boar'}

Vadhula {'raft'}

Mas`aka ('mosquito'}

Vaikhanasa {'anchorite , hermit'}

Katya-ayana {'within hole walk'}

S`ukla ('White')


0.3 (pp. ix-x) facts about certain S`ulba Sutra-s

p. ix

"The Mas`aka S`ulbasutra ... is not available at present {not known to be extant}.


As far as the Masaka S`ulbasutra is concerned and the Satyas.ad.ha or the Hiran.ya-kes`in S`ulbasutra are concerned, ... there is a

p. x

difference not in content but sequence.


The Varaha Gr.hyasutra informs us that the S`rautasutra had appendices named Anu[-]grahika, Hautrika and S`aulbika. ...


Dutta has enumerated the Vadhula S`ulbasutra, but it is not available at present.


The Vaikhanasa S`ulbasutra has been referred to in Sutratatparya[-]cintaman.i (p. 20), but it is not available at present."


0.4 (p. xi) Max Mu:ller's dating of the Veda-s

portion of Veda

date BChrAira

Samhita-s

1000-800

Brahman.a-s

800-600

Sutra-s

600-200

{Another oft-cited scheme dateth this litterature a century earlier; but Max Mu:ller's system may well be more accurate.}


0.4 (pp. xi-xii) Arthur Berriedale Keith's dating of the known-to-be-extant Kalpa Sutra-s

p.

__ Kalpa Sutra

date BChrAira

xi

Baudha-ayana

450


Manava

450


Apa-stamba

400


Hiran.ya-kes`in

375

xii

Vaikhanasa

350


Katya-ayana

200


0.5.1 (pp. xii-xiii) canonical commentaries on the Baudha-ayana S`ulba Sutra

p. xii

S`ulba-dipika by Bhat.t.a-atma[n]-ja

p. xiii

S`ulba-mimamsa by S`ri Vyankat.a-is`vara Diks.ita son of Go-vinda Diks.ita, and younger brother of S`ri Yajn~a-Nara-ayan.a Diks.ita


0.5.2 (p. xiv) canonical commentaries on the Apa-stamba S`ulba Sutra

Vivaran.a-bhas.ya-m by Kapardi-Svamin

S`ulba-pradipika (described as aks.ara-artha-avabodhini "depictor of the meaning of words") by Kara-vinda-Svamin

S`ulba-pradipa-vivaran.a by Sundara-raja [son of Madhava-acarya (p. xv)]

S`ulba-rahasya-prakas`ana by Go-pala Yajva [disciple of Vadhula Ranga-raja, and son of S`ri Narasimha Yajva (p. xv)]


0.5.3 (p. xvi) canonical commentary on the Manava S`ulba Sutra

"The Manava S`ulba[-]bhas.ya, a commentary on the Manava S`ulbasutra[,] is available in the form of a manuscript in the library of the Asiatic Society of Bengal. ... S`ivadasa ... the commentator ... is the son of Narada and the brother of S`ankara, the commentator of the Maitrayan.iya S`ulbasutra."


0.5.4 (p. xvi) canonical commentary on the Maitra-ayan.iya S`ulba Sutra

"A commentary on this S`ulba by S`ankara, son of Mod.ha-Maitra Bhat.t.a S`ri Narada, is available. ... S`ankara was brother of ... the commentator of the Manava S`ulbasutra."


0.5.5 (pp. xvi-xvii) canonical commentaries on the Katya-ayana S`ulba Sutra

p. xvi

"Karka[-]bhas.ya by Karkacarya"

"Commentary by Rama"

"Vivarana by Mahidhara"

p. xvii

"Commentary by Vidyadhara"


0.6.1.1 (p. xvii) survey of the Baudha-ayana S`ulba Sutra

"The Baudhayana S`ulbasutra is the 30th Pras`na of the Baudhayana S`rautasutra belonging to ... the Taittiriya Samhita. Dr G. Thibaut published ... his English translation ... in the Pandit ... . ... the research Institute of Ancient Scientific Studies, new Delhi, [re]published Prof. Thibaut's English translation ... in book form in 1968."


0.6.1.1 (p. xviii) according to commentator Dvaraka-natha Yajva : the number of kan.d.a-s ("joints (as, of bamboo)") in each chapter of the Baudha-ayana S`ulba Sutra

chapter

# of its kan.d.a-s

# of its sutra-s

1st

4

113

2nd

3

83

3rd

14 (but 12 according to Dr Caland's division)

32


0.6.1.2 (pp. xviii-xix) subject-matter of the Baudha-ayana S`ulba Sutra

p.

chapter

description (of hearth/fire-altar)

xviii

1st

"the places of the three fire hearths"


2nd

"the successive fire altars i.e. from the sevenfold agni to the hundred-and-one-fold agni"

xix

3rd

"The S`yena[-]citi (falcon shaped fire altar) ... with curved wings and out spread tail;


"

the Kanka[-]citi (... in the form of a kite[-bird]),


"

the Alaja[-]citi {bird mentioned in Vajasaneyi Samhita 24:34};


"

the Prauga[-]citi (... in the form of an isosceles triangle);


"

the Ubhayatah. praugaciti (... of the shape of a rhombus);


"

the Ratha[-]cakra[-]citi (of the shape of a chariot wheel) ...;


"

the Drona[-]citi (trough shaped) ...;


"

the S`mas`ana[-]citi (in the form of cremation ground);


"

the Kurma[-]citi (tortoise shaped)".


0.6.2.1 (p. xix) survey of the Apa-stamba S`ulba Sutra

"The Apastamba S`ulbasutra is the 30th pras`na of the Apastamba kalpa ... . ... A. Bu{:}rk ... published ... the German translation in 1920. ... . ... the English translation ... was ... published by the Research Institute of Ancient Scientific Studies, New Delhi, 1968."


0.6.2.1 (p. xx) the number of khan.d.a-s (sections) in each pat.ala (chapter) of the Apa-stamba S`ulba Sutra

pat.ala

# of its khan.d.a-s

1st

3

2nd

4

3rd

3

4th

4

5th

3

6th

4


0.6.2.2 (pp. xx-xxi) subject-matter of the Apa-stamba S`ulba Sutra

p.

pat.ala

description

xx

1st

construction of a square aequal in area to a given rectangle


2nd

"the three fire hearths and their location"

xxi

3rd

"enlargement of the vedi with each succession"


4th

"the kinds of square bricks"


5th

"the S`yenaciti in the form of a falcon with bent wings and curved tail"


6th

"the S`yenaciti without head and the As`vamedhagni"


0.6.3 (p. xxi) the Manava S`ulba Sutra

"The Manava S`ulbasutra constitutes the 10th book of the Manava S`rautasutra. The complete ... Manava S`rautasutra (including the S`ulbasutra) ... translated in[to] English by J. M. van Gelder was published in ... 1963 (English Translation) by the Indian Academy of Indian Culture, New Delhi."


0.6.3 (pp. xxi-xxii) number of khan.d.a-s and of sutra-s (stanzas) in each pat.ala (chapter) of the Manava S`ulba Sutra . This

p.

pat.ala

khan.d.a-s

sutra-s

xxi

1st

4

36

xxii

2nd

5

98


3rd

7

227


0.6.4.1 (p. xxii) survey of the Maitra-ayan.iya S`ulba Sutra

"The Maitrayan.iya S`ulbasutra constitutes an appendix to the Varaha S`rautasutra which belongs to the Maitrayan.iya ... Black {Kr.s.n.a} Yajurveda. This S`ulba is enumerated amongst 22 paris`is.t.as (appendices) of the Varaha Gr.hyasutra as Sulbika."


0.6.4.2 (p. xxiii) the number of sutra-s (stanzas) in each khan.d.a

of the Maitra-ayan.iya S`ulba Sutra

khan.d.a

# of its sutra-s

1st

37

2nd

13

3rd

17

4th

15


0.6.4.2 (p. xxiii) subject-matter of the Maitra-ayan.iya S`ulba Sutra

khan.d.a

description

1st

"the three fires i.e. the Ahavaniya, the Garhapatya and the Daks.inagni"

2nd

"the doubling and tripling the [area of a] square"

3rd

"sadas (meeting hall) ...; Dhis.n.ya[-]s (allied fires) ...; Patni[-]s`ala (chamber for the wife); Havir[-]dhana (the hall for storing material) etc."

4th

"the Mudgara (Mallet); the cord; the units of measurement"


0.6.5.1 (pp. xxiii-xxiv) survey of the Katya-ayana S`ulba Sutra

p. xxiii

"The Katyayana S`ulbasutra belongs to the White {S`ukla} Yajurveda and constitutes an appendix of the Katyayana S`rautasutra.

p. xxiv

The first two chapters ... English translation by Prof. G. Thibaut ... was published in the ... Pandit, New series IV, 1882."


0.6.5.1 (p. xxiv) the number of sutra-s in each kandika of the Katya-ayana S`ulba Sutra

kandika

# of its sutra-s

1st

30

2nd

22

3rd

14

4th

10

5th

12

6th

13


0.6.5.2 (pp. xxiv-xxv) subject-matter of the Katya-ayana S`ulba Sutra


kandika

description

p. xxiv

1st

"the location of the Daks.in.agni and Utkara"

p. xxv

2nd

"the theorem {"Pythagorean"} of the diagonal of a rectangle"


3rd

construction of a square aequal in area to the difference between two other squares


4th

"the various citi[-]s"


5th

"the new value of a square purus.a in every successive fire altar i.e. from the sevenfold agni to the hundred-and-one-fold agni"


6th

"increasse in the measure of a prakrama in respect to each successive fire altar"


0.7 (p. xxvi) S`ulba chapter of each S`rauta Sutra

the S`ulba is the __ chapter

of the __ S`rauta Sutra

30th

Baudha-ayana

30th

Apa-stamba

10th

Manava

0.7 (p. xxvi) "The purpose of the S`ulbasutras is to deal with the rules pertaining to ... geometry in respect to ... the construction of various forms of altars."


0.8 (pp. xxvi-xxvii) modern research on the S`ulba Sutra-s

p. xxvi

"Prof G. Thibaut ... his English translation of the Baudhayana S`ulbasutra and the Katyayana S`ulbasutra (first two chapters, in the Pandit (1874-77) and a very critical article {entitled} on the S`ulbasutra, in the Journal of the Asiatic Society of Bengal {Vol. 44, Pt. I, no. 3, pp. 227-75} (1975 {"1875" according to Sen & Bag 1983, p. 286}) give valuable insight regarding the geometry ... .


A. Bu{:}rk ... translated the Apastamba S`ulbasutra in[to] German ... published in Zeitschrift {der} Deutsch{en} Morgenla{:}ndischen Gesellschaft, 55, pp. 543-91, 1901; and 56, pp. 327 {"227" according to Sen & Bag 1983, p. 284}-91, 1902.

p. xxvii

N. K. Majumdar's constribution ... is ... 'On the different S`ulbasutras', 'Proceedings and Transactions of the {2nd} Oriental Conferences', pp. 561-64, Calcutta, 1922[;] and 'Manava S`ulbasutram', Journal of the Department of Letters in the Calcutta University, VIII 1922.


B. Dutta [Datta] has discussed in his book, the Science of the S`ulba ([Calcutta University,] 1932), ... the geometry of rituals.


Dr. Jeannette M. van Gelder translated the Manava S`ulbasutra (1963) ... with ... diagrams. ...


S. D. Khadilkar has ... the Katyayana S`ulbasutra ... English translation ... ([Vaidika Sansodhana Man.d.ala, Poona,] 1974)."

Sen & Bag 1983 = S. N. Sen & A. K. Bag : The S`ulbasutras of Baudhayana, Apastamba, Katyayana and Manava. Indian National Science Academy, New Delhi.


2.11 (pp. 57-8) constructing a square aequal in area to the sum of the areas of two unaequal squares



4.7 (pp. 91-2) irregular pentagon formed of 4 aequal aequilateral triangles + isosceles triangle



5.4 (p. 103) 1/15th of purus.a = 8 angula-s

5.4 (p. 104) 1 purus.a = 5 aratni-s = 10 vitasti-s = 120 angula-s



Appendix A (pp. 141-7)

p.

definition

144

/purus.a/ is distance between ground and tip of finger of arm held upward

141

/aratni/ is distance [from elbow] to tip of little finger

147

/vitasti/ is distance between tip of thumb and of little finger [stretched apart]

[/angula/ is finger-breadth]



D. F. Kularia (transl.) : Katyayana S`ulbasutra. Devesh Publ, New Delhi, 2009.