Table Of ContentPanjob University Indologieal Series—10
TAME:
afadi feraghrsees-caremaaite:
TANTRASANGRAHA
or
NILAKANTHA SOMAYAJT
with
YURTIDIPIKA AND LAGHUPIVETE
OF
SANKARA
(An clahorate exposition of the rationale of
‘Hindu Astrovomy )
Critically edited
with Introduction and Appendices
by
K. V. SARMA
Acting Director, VV.B.IS. & LS.
Panjab University, Hoshiarpur
VISHVESHVARANAND VISHVA BANDHU INSTITUTE
OF SANSKRIT AND INDOLOGICAL STUDIES:
PANJAB UNIVERSITY
HOSHIARPUR
1997
set dewey R08 (FR)
FAR
Preterenie-freneg ieee
sedi ateeq ny
seare-fereatcare:
erga: deena (4, are)
All Righty Reserved
First Edition, 1977
Publishers
VISHVESHVARANAND VISHVA RANDHU INSTITUTE
OF SANSKRIT AND INDOLOGICAL STUDIES
PANTAB UNIVERSITY
P.O, Gadhu Ashram, Hoshierpur (Phy Indiy)
CONTENTS
Page
INTRODUCTION
1. Introductory oo
2. Manuscript material vei
1. Manuscripts of the Text of Fantrasaigraha (FS)... xvii
2. Relationship of the Text manuscripts ce XV
3. TS Commentary in verse wed
4, Relationship of the Mss. of the Com! in verse. xx
5. Commentary Laghurivytt cont
6. Relationship of the Mss. of Loghuviryst nest
3, Textual presentation axl
4. Aim of the preseat edition ” xiii
5. Nilakantha, Author of Tantrasaigesba os oniv
1. Biographical details wean
2. Native village and favourite deity vee XV
3. Patron Netranarayana, and brother Sankara ve KYE
4. Nilakantha’s Teachers, Ravi and Démodara =... xxviii
$5. Nilakantha’a writings. xxix
6. Chronology of Nitakantha’s works sani
7. Date of Nilakantha we ERY
8. Versatility of Nilakantha ae WV
6. Identification of the ‘IS Com. in verse see SXXVIE
1, Details in the TS Com. + xxxvili
2. Incorrect inferences see XXXIX
3. The extent of Tautrasanpraha - abil
Manuscripts of Tantrasaiigraka ali
Quotations from Tantrasaigraha xii
iti, Evidence of expository texts xliii
iv. Indication in the TS itself of its beginning
and end alii
4. Yuksibhasa, TS and TS Com ali
a TANTRASANGRAHA,
$. TS Com is a Com. on the TS
6. Name of the 7S Com. : Yukstdipika
7. Identificatlon of the Commentator, Sadkara
1. Relationship of 8 Com. with Kriyakramakart ...
2, Cottespondence of verses in TS Cov, and Kriya ws
3. Chronological priority of the FS Com, to Kriya, . — xlvili
4, Common authorship of the two works celle
5. Identification of the author as Satkara xlix
8. Other works of Suitkura o 1
1. Laghusivrzi, the concise com. on FS ~ :
1, Similarities of the three works, TS Com, .
Kriya. and Laghs. on i
i. Tnvocatory verses ry
‘i, Similoz introductions id
fii. Characteristic colophons . liv
iv, Individualistic expressions bv
v. TS Com. and Laghu, comments compared. w
2. TS Conmensary earlier to Laghuvisytt . Wi
3, The Laghu.-author quotes TS Com. as his
owa work Ww
4, Laghw, a complement to 7S Com, Wi
Kriyakalapa—An expression wrongly intet-
preted Wii
2. Peitcabodhasyakhya fix
3. Raranasara ix
4, Chronology of Sankara’s works a el
9, Sagkara, the Commentator we
1. Personal details oil
2. Saikkara’s teachers and promoters RR
3. Date of Satkora . Ixx
10. Contents of Yuktidipika ce hai
1, Notable exposition of theoties and rationales Ix
1. Approach to astronomical studies Jaxi
2. Measurement of time ext
3. Planerary revolutions ve lant
CONTENTS
4. Mathematical operations -
5. Rule of three and Palverisation _
6. Situation of the Earth .
7. The Circle
8. Summation of series
9. Reine and Arc
10. Ascensional differences
11, Theory of eclipses oa
12, Celestial glohe : Different conceptions a
13. Rising of the signs
14. Gnomon and the Great gnomon we
15, The Ten Shadow problems
16. Great shadow
17. Rising point of the ecliptic
18, Lunar eclipse
2. Extent of Fuktidapita
1. Portion now available
2, Evidence for ¥D on the entire work ~
3. Authorities cited in the Yukstdipika o
LL. Contents of Laghuvivyt os
32, Acknonledgements
TANTRASANGRAHA WITH YUKTIDIPIKA
LATE
(TBE. MBAN PLANETS)
ARATATMA (Invocation by the author) se
argeraemy (Invocation by the commentator)
anfirandtarty (Purpose of astronomical computation) «+»
sraaftez: (Determinants of Time)
aneanitaaq (Aim of astronomy) a
‘mreateaaay (Proper approach to the study of astro-
omy)
ui
Pe ca
xxi
bil
exit
Ix
lanitt
beritt
Leal
Inxiv
Isxiv
Inxiy
bxiy
Isxiv
lav
lev
Inv
Inxv
Tey
Inavi
bead
bavi
iaaviit
iv TANTRASANGRAHA
wraaterafernryy (Civil and sidereal day measures)
wrrerery (Nature of Time)
wien (Rotation of the celestial sphere)
areaateafearany (Measure of civil and sidereal days)
alearaaray (Solar and Lunar measures of time)
‘aVeaHTA: (Teunar month)
aitearra: (Solar month)
afirata: (Intercalary month)
eigatgeeal (Sarisorpa and Avshaspat)
‘aan: (J.unar month)
rienaferanif (Nature of the Year, Month and
Day)
‘vgstat: (Revolutious of the Planets)
vonfrata: (Depiction of Numbera)
favafeatfit: (Day of the Gods ete.)
‘Teta BAIT: (Aconic revolutions of the Planets etc.)
agit araafeaefe: (Civ days ete. in an seon)
eam (Rotation of the Earth)
ght armafenanfé: (Civil days eto. in an acoa)
sean agarmeagi @ (Planetary aeons and the
commen seon)
afamraagtta: (Theory of intercalation)
again aaeedwry (Verification of tho number of
revolutions through planetary conjunctions)
againfeat nawrdtermg (Verification of the number of
evolutions by inference ete.)
48a NEST: (Planetary revolution in circular orbits)
fafzaraany (Computation of Kali days)
sfaficamnatiat (Rationale of the computation of
Kali days}
TS
CONTENTS
afewaifit (Mathematical operations)
wagervaatefet (Addition and subteaction) a
ora (Multiplication) we
wT (Division) te
aniefenst (Squaring) vee
wrigay (Square root) ve
saiatfa: (Fractions, positive aad negative) a
simmtenfz: (Fractions of fractions) ws
warargara-wimmatgt (Associated and Dissociated
fractions) we
faraergiaa-manfiet (Addition and subtraction of
ractions) .
ferrrgarrg (Multiplication of Fractions)
Gremimare: (Division of Fractions)
Farraatfe: (Squaring cle, of Fractions)
aputfeces (Operations with Zero) .
seanfarsra: (Theory of Numbers)
srgeernarmt (Rationale of Divisivs)
‘wiesiaraat (Rationale of squaring) a
WAPERTA (Rationate of square root) ve
wigaeiaaat (Rationale of the operation for the
squire root)
wrigawed (Operation for the square root)
afiert; (Ten rules for mathematical derivations)
natfrarmat (Rationale of Fractions, positive and
negative)
marranfearaa {Rationale of Fractions of fractions)
Sengaer-arnemtg-amat (Rationale of Associated and
Dissociated fractions)
farrpamam (Rationale of the Multiplication of
fractions)
¥ TANTRASANGRAHA,
facrangiemam (Rationale of the Division of
ttactions) on
furentanaiaat (Rationsle of the Square and Cuhe of
fractions)
saumgprermam (Rationale of Associated fractions) «++
ageivia agmeMAT: (Mean planets from Kali days)
agreantTaty, (Compatation of Mean plaxets) a
drafireana (Rationale of the Rute of three) a
erauaat dufremraas (Rationale of the rule of theee
in the computation of Kali d4ys) a
qrenfeaon® dufaedtaat (Application of the Rule of
three for Means of planets, in signs ote.) ce
gperett defeat (Application of the Rule of three
‘in Palverisation) aa
smumiaraai agate (Application of Pulveris
tho computation of Kali days etc.) oo
glen qanemr-qfed: ayer (Pulverisation using the
Reduced aeonic revolutions of the Sua and Civil
days) we
QaaTAEBTE: (Correction for longitude) a
sgaeaeqiaq (Siluation of the Harth's sphere) a
Fare eHTa: (Longitudinal dine) we
aureaceneaiaat (Rationale of Longitudinal time) +.
RapaTeeT TAvEA (Positive and negative nature of
Longitudinst tiene} oa
wari wemfezat: (Zero-positions of Planets at the
beginning, of Kali} on
MAAGUET AME (Zero-positions of Planets at the Ninth
minor acon)
aaagmnfesqameat (Rational; of the zero-positions at
«be ninth seon) r
reveal arenas (Rationale of the reduction
of Multipliers and Divisors) ae
34
$8
aerat eaten
CONTENTS
(Apogees of planets}
qin sedroaine: (Planetary apogees in degrees)
MEARE
(HE TRUE PLANETS)
aed yasaaeat w (Anomaly and order of the quadrants)
aRraray (Invocation)
ang azeaneat & (Anomaly and order of the quadrants)...
searuge auétereed (Commutation of Rsines and Ares) ...
aqeadie qmaaay (Construction of a Circle of
‘diameter equal to the side of a given square}
sei-gafearfaferr geufeeamany (Computation of the
Circumference without the use of squares and roots)...
ergfitar (Sum of series) a
grergfiram (Sum of a sorica of natural numbers)...
‘whagferrg (Sura of a series of squares of numbers)
saargfaag (Sum of a series of cubes of numbers)...
fertarfemgtieag (Sum of a summation of series)...
amaqweamgie: (Peovesses relating to Rsines und
Accs)
ween: sister (Compatation of the are of a
given Reine)
wareiferiearat farmradtaat (Rationale of the placement
of unkown numbers) os
geafearrring (Computation of the circumference of
a circle}
qoafeet yew: eieere: (Accurate methods for the
computation of the circumference)
afelagemend serererafin (More methods fot accurate
computation of circumference)
marazarAMAR (Derivation of Raines for given Rverscd
sine and Arc)
Page
n
n
9s
98
vit TANTRASANGRAHA
aaraget adtecet (Computation of Rsines and Arcs) wu.
amimgrendteceritatee (Rationale of the computation
of Rsines and Ares) te
arraftamatisat: (Rsines at the intersection of the sine
seaments) we
afraraet genaranz7y (Accurate computation of the
24 ordained Reines)
META BTRTATTH (Alternate method for Rsines)
sarars-aenrfi (Sectional Reines and Rsino diffe.
ences) a
sarararawair: (Sum of Rsine differences) ”
amraerreyteg (aa (Sueamation of Rsine differences)
FeEMAA FeAsTT (Accurate Reine at a desired point)
scecenrar: neste eTRerTaRy (Computation of the Are
of an Ralae according to Madhava)
eforcatinfam Rectemrecrang (Computation of Reine
and Ryersed sine at desired point without the aid of
of the ordained Rsines)
Renaereisartedtitis sraifenta “Team wanfemrents
((Vidvant and other phrases of Madhava for the
Computation of desited Reine and Rversed sine)...
‘fare’ senfaarenat wea {Rationale of vida and
other phrascs) a
sareifart: (Method for the syuare of Rsines)
unrlfad sarararamay (Computation of Reine and
Rversed sine according to Madhava)
amedtftreravrrawat (Rationale of Madhava’s method)...
wrarumane (Rationale of the computation of the
Altitude)
Soh grea em: (The rule of jive paraspara for the Rsine
of the sun or difference of two angles) a
‘fa ccer’sampfaweeng (Derivalioy of the role
of five paraspara)
Poge
105
105
106
107
109
109
110
ttt
12
12
uz
47
1g
ng
120
129
123
125
125
