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.