Question

Match List I (Trigonometric Formula Descriptions) with List II (Geometric Components of the Vitribha Sphere):

List I		List II
A.	Vitribha-lagnasya Natamshajya	I.	Drik-kshepa-vrittam
B.	Vitribha-lagnasya Unnatamshajya	II.	Sphuta-drik-kshepah
C.	Krantivritta-drigvritta-yogah	III.	Sphuta-drig-gatih
D.	Lagnasthanat Trijyotpannavrittam	IV.	Vitribham

• A. A-II, B-III, C-IV, D-I
• B. A-III, B-IV, C-I, D-II
• C. A-IV, B-I, C-II, D-III
• D. A-I, B-II, C-III, D-IV

Hint:

'Vitribha' = 'Vi' (without) + 'Tribha' (three signs). It means exactly 3 signs (90 degrees) away from the Lagna. It is the zenith of the ecliptic.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The 'Vitribha Lagna' is a point exactly 90 degrees behind the rising sign (Lagna). It is the highest point of the ecliptic at any given moment. This point is crucial for calculating the 'Drik-kshepa' (the ecliptic's zenith distance), which is essential for determining planetary parallax.

Step 2: Detailed Matching:
1. Description A: The Sine of the Zenith Distance (Natamsha) of the Vitribha Lagna is technically the Drik-kshepa-vritta component or the measure of how much the ecliptic is tilted from the zenith. (A matches I).
2. Description B: The Sine of the Altitude (Unnatamshajya) of the Vitribha Lagna is used to find the Sphuta-drik-kshepa. (B matches II).
3. Description C: The intersection of the Ecliptic (Kranti-vritta) and the Vertical Circle (Drigvritta) is the basis for calculating Sphuta-drig-gati (the true rate of angular displacement). (C matches III).
4. Description D: A circle generated at 90 degrees (Trijya arc) from the Lagna defines the Vitribham. (D matches IV).

Step 3: Verification:
Sequence: A-I, B-II, C-III, D-IV. This corresponds to Option (4).

Step 4: Final Answer:
The Vitribha coordinates are the gateway to advanced parallax and eclipse calculations.