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.
Calculation of the intermediate Jya using interpolation.
Parameters
angleDeg: number
Angle in degrees (will be normalized to 0-360)
Returns number
The Jya value (R × sin(θ)), signed for quadrants 3 and 4
Calculate the Indian Sine (Jya) for a given angle.
[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.