Sūtra 7·3·26
अर्धात् परिमाणस्य पूर्वस्य तु वा
ardhāt parimāṇasya pūrvasya tu vā
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Before a Taddhita affix having an indicatory ñ, ṇ, or k, the Vṛiddhi is substituted for the first vowel of the second member, denoting a mass in its widest sense, when the word ardha precedes it, but optionally for the first vowel of ardha
Padapāṭha ardhāt parimāṇasya pūrvasya tu vāअर्धात् परिमाणस्य पूर्वस्य तु वा