Divide the quadrant of the circle into 24 parts... the first sine is 225 minutes.
Modern Technical Commentary:
Establishes the 24-point Sine table (Jya). The interval is 225' (3° 45'), chosen because in a circle where R = 3438', the arc of 225' is approximately equal to its sine.
Divide the quadrant of the circle into 24 parts... the first sine is 225 minutes.
Modern Technical Commentary:
Establishes the 24-point Sine table (Jya). The interval is 225' (3° 45'), chosen because in a circle where R = 3438', the arc of 225' is approximately equal to its sine.
Radius of the sine table (R).
Calculated such that 1 arc-minute is approximately 1 unit (2*PI*R = 21600).
[Ch. II, v.15-22]
Siddhantic Proof: Spashta (True Longitudes) v.15
Sanskrit (Devanagari):
चतुर्विंशतिधा चक्रे ज्यार्धारिण पृथक्पृथक् । तानि पञ्चविंशतियुक्तानि त्रीणि शतानि च ॥
Translation (Burgess):
Divide the quadrant of the circle into 24 parts... the first sine is 225 minutes.
Modern Technical Commentary:
Establishes the 24-point Sine table (Jya). The interval is 225' (3° 45'), chosen because in a circle where R = 3438', the arc of 225' is approximately equal to its sine.
Siddhantic Proof: Spashta (True Longitudes) v.15
Sanskrit (Devanagari):
चतुर्विंशतिधा चक्रे ज्यार्धारिण पृथक्पृथक् । तानि पञ्चविंशतियुक्तानि त्रीणि शतानि च ॥
Translation (Burgess):
Divide the quadrant of the circle into 24 parts... the first sine is 225 minutes.
Modern Technical Commentary:
Establishes the 24-point Sine table (Jya). The interval is 225' (3° 45'), chosen because in a circle where R = 3438', the arc of 225' is approximately equal to its sine.