HAMSIHAMSI

The History of Astronomical and Mathematical Sciences in India (HAMSI) Working Group is dedicated to fostering and disseminating research in the history of Indian exact sciences (including astronomy, mathematics, and related subjects), and integrating it into the history of mathematics in general.

Sine Table, R=60 : Nityānanda in the Sarvasiddhāntarāja (1639) [Chapter 3; presented in tabular form]

Note: This sine table has been taken off a single manuscript, Wellcome Institute Y550, thus scribal errors may be present

This table is very close to the table found in the National Archives of Nepal MS 5.7255 of Nityānanda's Sarvasiddhāntarāja with the notable exception of the last four Sine values which are given to six sexagesimal places: (87) 59;55,3,58,46,14 (88) 59;57,48,25,7,50 (89) 59;59,27,6,7,45 and (90) 60;0,0,0,0,0.


ArcSine (sexagesimals)Sine (decimals)Differences
1124943151.0471446761.046825154
2253817292.093969831.046187577
338243403.1401574071.045231019
4411723544.1853884261.043956173
55134538265.2293445991.042363194
6616188536.2717077931.040452778
77184346417.3121605711.038225463
8821123238.3503860341.03540409
9923850409.3857901241.03310054
101025802310.418890661.029649074
11112654443511.448539741.026161728
12122828553112.474701471.022361806
13132949254013.497063271.018250463
1414305574614.515313731.013828935
15153144544915.529142671.009098688
1616321740816.538241361.004014661
1717323271817.542256020.998763657
18183227401518.541019680.993069599
1919322431719.534089270.987120833
20203116212320.521210110.980866898
2121307283821.502077010.990986034
2222293512722.493063040.948026929
23232627552623.441089970.963108642
2424241565424.404198610.952897068
25252125324025.357095680.945173148
262618810426.302268830.937161188
27271421565327.239430020.928863735
2828105512728.168293750.91750571
292958524129.085799460.91420054
30300000300.902284491
3130548132730.902284490.892871374
32314742334031.795155860.883186265
3332404215432.678342130.873232099
343333540233.551574230.862965664
35342452303734.414539890.852575617
3635161365735.267115510.84178588
373663225236.108901390.780787114
38365622524336.88968850.869534954
39374533121637.759223460.808033256
403834272538.567256710.796285031
4139214845139.363541740.784294676
4240852124040.147836420.772065201
43405511384540.919901620.759600617
44414046122941.679502240.746904553
4542253535342.426406790.73398125
4643937234943.160388040.720834105
47435252235943.881222150.707467361
48443519165644.588689510.69388534
49451657161045.282574850.680091744
50455745355945.962666590.666091127
51463743314046.628757720.6518875
52471650192247.280645220.637485417
5347555161347.918130630.622889043
54483227401548.541019680.608103009
5549856503049.149122690.593131636
5649443265649.742254320.577979784
57501912503450.32023410.562651698
58505258232050.88288580.546318904
5951254881351.429204710.532319522
60515741291451.961524230.515658179
61522837512452.477182410.466339815
62525836404852.943522220.683535031
63533737242253.627057250.300585494
64535539305053.927642750.439713349
6554222285554.36735610.445093596
6654484449854.812449690.417841512
6755134925455.23029120.392406713
68553721424555.622697920.392127701
6956053222056.014825620.366824228
70562253562256.381649850.399464661
7156465204456.781114510.282554244
7257348122757.063668750.31461659
73572241493857.378285340.297416435
74574032313557.675701770.27984784
75575719584357.955549610.26219321
7658133523758.217742820.244461034
7758274356258.462203860.226652161
78584119525458.688856020.208775
79585351281858.897631020.190834954
8059518283959.088465970.172834491
81591540405459.261300460.154783642
82592457541059.41608410.136685031
835933958859.552769140.118544599
84594016434659.671313730.100368133
8559461831759.771681870.082161265
8659511350559.853843130.063926466
8759553581459.91776960.045679861
8859574825559.963449460.027415278
8959592764759.990864740.009135262
9060000060