सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)
Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary
भास्कराचार्य द्वितीय द्वारा
पृष्ठ 328, कुल 573 में से
संदर्भ में पढ़ें308 to directions (not of signs) namely that a is south if δ is north, s is always north and b is to be taken to belong to that direction to which the numerically bigger quantity of a and s belongs in the case of difference. Also it is to be taken to belong to that direction of a and s when both of them have the same direction. With this convention in mind, Bhāskara clarifies the convention by citing examples. (1) S=5, δ is north, Agrā=916'-48'' K=30 so that a = KA / R = (916⅘ × 30) / 3438 = 8 units (south, because it should be taken to be व्यस्तगोला ie. belonging to the direction opposite to that of δ). Question. "What is b and of what direction?" Answer. b = a +~ s = 8 (south) ~ 5 (north). (We are taking the difference because Samskāra is to be construed as addition of quantities having the same direction and difference of quantities of opposite direction ∴ b = 3 and is on the south because the numerically bigger quantity of 8 and 5 belongs to south. Q. 2. δ is north S=5, A=916'-48'' ; K=15, 'what is b and in what direction?' Answer. a = KA / R = 4; b = a +~ s = 4 +~ 5 = 4~5 (here a is south δ being north and s is north so that difference is stipulated as above) = 1 (north because 5 belongs to north. We add here two more examples to illustrate addition by saying that δ is south in the above examples so that a is north in both the examples. Hence in (1) b=8+5=13 (north) and in (2) b=4+5=9 (north). Refering to Fig. 60, we see there three cases depicted namely the extremi-