Today we will look at the application of 8-3-19 लोपः शाकल्यस्य The वृत्तिः from Laghu Siddhanta Kaumudi is
अवर्णपूर्वयोः पदान्तयोः लोपो वा अशि
In the opinion of the teacher शाकल्यः, the letter ‘य्’ or ‘व्’ is elided when it occurs at the end of a पदम् and is preceded by the अवर्णः (‘अ’ or ‘आ’) and is followed by a letter of the अश्-प्रत्याहारः। Note: Since the elision (of the letter ‘य्’ or ‘व्’) is only in the opinion of the teacher शाकल्यः (and not in the opinion of all teachers), it implies that the elision is optional.

Below are two examples where this rule is applied:

Example 1 Bg3-22
नानवाप्तमवाप्तव्यं वर्त एव च कर्मणि
वर्ते is the लट् उत्तमपुरुषः एकवचनम् of dhatu √वृत् (वृतुँ वर्तने १.८६२)

वर्ते + एव
वर् त् अय् + एव । 6-1-78 एचो यवायावः
वर्ते gets पदसंज्ञा by 1-4-14 सुप्तिङन्तं पदम् and so does the form वर्तय् (by परिभाषा एकदेशविकृतम् अनन्यवत्)
Note that the letter following the य् belongs to the अश्-प्रत्याहारः
Since all the conditions to apply 8-3-19 लोपः शाकल्यस्य are now satisfied, the ending य् can be dropped
वर्त एव

Example 2
वने अासीत्
वनय् अासीत् । एचोऽयवायावः
वन आसीत् । 8-3-19 लोपः शाकल्यस्य

Questions:
1. In Example 1 above, after deriving the final form वर्त एव, the conditions seem ripe to apply 6-1-88 वृद्धिरेचि Can we proceed to apply वृद्धिसन्धिः here? If yes, why? If not why?

2. Spot the application of 8-3-19 लोपः शाकल्यस्य, if any, in the following snippets.
तस्मा ऋषये नमः
द्वा इमौ

Today we will look at an example of the application of 8-4-62 झयो होऽन्यतरस्याम् in one of the sutras of the अष्टाध्यायी 1-1-10 नाज्झलौ

The वृत्तिः for this sutram from Laghu Siddhanta Kaumudi is:
झयः परस्य हस्य वा पूर्वसवर्णः
When a झय् letter precedes, then in place of the letter ‘ह्’ there is optionally a substitute which is पूर्वसवर्ण: (सवर्ण: with the preceding झय् letter).

1. अच् + हलौ । 1-4-14 सुप्तिङन्तं पदम् अच् gets the पदसंज्ञा, since it ends in the सुँ-प्रत्ययः

2. अज् हलौ । 8-2-39 झलां जशोऽन्ते The झल् letter च् at the end of the पदम् अच् gets the जश् (ज् ब् ग् ड् द्) as आदेशः By 1-1-50 स्थानेऽन्तरतमः, the closest substitute should be chosen. In this case, since the place of articulation of च् is the तालु, we choose ज्, which also has the same place of articulation.

3. अज् झलौ । This is an optional form that we get by the rule 8-4-62 झयो होऽन्यतरस्याम् In this case, the सवर्णाः of ज् are च् छ् ज् झ् ञ्, by the rule 1-1-9 तुल्यास्यप्रयत्नं सवर्णम् because they all share the same place of articulation तालु and same internal effort स्पृष्टम् Now, again by 8-4-62 झयो होऽन्यतरस्याम्, the closest substitute has to be chosen which is झ्, since both the letters झ् and ह् are voiced consonants and are also aspirated.

Thus we get two final possible forms अज्हलौ and अज्झलौ

Questions:

1. Following the same steps try the sandhi इक् + ह्रस्वादेशे (अष्टाध्यायी 1-1-48 एच इग्घ्रस्वादेशे) Please make sure to check that all conditions are met at each step.

2. Identify the above sandhi and break it in the सूत्रम् 1-2-27 ऊकालोऽज्झ्रस्वदीर्घप्लुतः