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.