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

245 Bhuja / Karṇa in any triangle = Bhuja / Karṇa in the second latitudinal triangle = (H sin φ) / R ∴ (R × Bhuja) / Karṇa = H sin φ Akshajyā or Palajyā (15) Similarly Koti / Karṇa in any triangle is equal to the Koti / Karṇa in the second latitudinal triangle = (H cos φ) / R so that (R × Koti) / Karṇa = H cos φ = lambajyā (16). Verse. The arcs of H sin φ and H cos φ are respec- tively the Akshamsas and lambamsas as they are called ie. latitude and colatitude. H sin φ and H cos φ are also obtainable thus √(R² - H sin² φ) = H cos φ and H sin φ = √(R² - H cos² φ) Or again (H sin φ × Koti) / Bhuja = cos φ and (H cos φ × Bhuja) / Koti = H sin φ where the Bhuja and Koti may belong to any latitudinal triangle. Verse 20. Agrajyā can be had by multiplying Krāntijyā by Karṇa of any lat. triangle and divided by its Koti. Also Sama-Sanku = Karṇa / Bhuja × Krāntijyā and (Sama-Sanku × Karṇa) / Koti = Taddhṛti. Comm. The first of these statements pertains to the similarity of the third triangles to the others. The second of the statements pertains to the similarity of the fifth latitudinal triangle to others whereas the third pertains to that between the fourth and the others.