भारतकोश
सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

सिद्धान्तशिरोमणि: गणिताध्याय (भास्कराचार्य - ग्रहगणित, मध्यमाधिकार व स्पष्टाधिकार सटीक)

Siddhanta Shiromani Ganitadhyaya of Bhaskaracharya with Commentary

भास्कराचार्य द्वितीय द्वारा

DevanagariHindipublished573 पृष्ठ

पृष्ठ 328, कुल 573 में से

संदर्भ में पढ़ें
पृष्ठ 328

308 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-