The Indo-Aryan languages, which are a branch of the Indo-Iranian languages within the larger Indo-European language family, share a significant amount of vocabulary due to their common linguistic heritage. Some of the most common words across these languages include:

1. Mother: “माँ” (maa in Hindi), “মা” (maa in Bengali), “माता” (mātā in Sanskrit)
2. Father: “पिता” (pita in Hindi), “বাবা” (baba in Bengali), “पितर” (pitar in Sanskrit)
3. Water: “पानी” (pani in Hindi), “পানি” (pani in Bengali), “जल” (jala in Sanskrit)
4. Sun: “सूरज” (sūraj in Hindi), “সূর্য” (suryo in Bengali), “सूर्य” (sūrya in Sanskrit)
5. Moon: “चाँद” (chand in Hindi), “চাঁদ” (chand in Bengali), “चन्द्र” (chandra in Sanskrit)
6. Eat: “खाना” (khana in Hindi), “খাওয়া” (khawa in Bengali), “खाद” (khāda in Sanskrit)
7. House: “घर” (ghar in Hindi), “বাড়ি” (bari in Bengali), “गृह” (gṛha in Sanskrit)
8. Good: “अच्छा” (acchā in Hindi), “ভালো” (bhalo in Bengali), “सुख” (sukha in Sanskrit)
9. Day: “दिन” (din in Hindi), “দিন” (din in Bengali), “दिवस” (divasa in Sanskrit)
10. Night: “रात” (raat in Hindi), “রাত” (raat in Bengali), “निशा” (niśā in Sanskrit)

These are just a few examples, but you can see the similarities in vocabulary across Hindi, Bengali, and Sanskrit, which are representative of the Indo-Aryan language family.

Between Europe and Asia, there are numerous languages spoken, each with its own common words. Here are some examples from major language families and groups:

1. Indo-European Languages:
   • English: Common words include “water,” “sun,” “moon,” “mother,” “father,” “eat,” “house,” “good,” “day,” and “night.”
   • Russian: Common words include “вода” (voda – water), “солнце” (solntse – sun), “луна” (luna – moon), “мать” (mat’ – mother), “отец” (otec – father), “есть” (est’ – eat), “дом” (dom – house), “хороший” (horoshiy – good), “день” (den’ – day), and “ночь” (noch’ – night).
2. Turkic Languages:
   • Turkish: Common words include “su” (water), “güneş” (sun), “ay” (moon), “anne” (mother), “baba” (father), “yemek” (eat), “ev” (house), “iyi” (good), “gün” (day), and “gece” (night).
   • Azerbaijani: Common words include “su” (water), “güneş” (sun), “ay” (moon), “ana” (mother), “baba” (father), “yemək” (eat), “ev” (house), “yaxşı” (good), “gün” (day), and “gecə” (night).
3. Uralic Languages:
   • Finnish: Common words include “vesi” (water), “aurinko” (sun), “kuu” (moon), “äiti” (mother), “isä” (father), “syödä” (eat), “talo” (house), “hyvä” (good), “päivä” (day), and “yö” (night).
   • Hungarian: Common words include “víz” (water), “nap” (sun), “hold” (moon), “anya” (mother), “apa” (father), “enni” (eat), “ház” (house), “jó” (good), “nap” (day), and “éjszaka” (night).
4. Semitic Languages:
   • Arabic: Common words include “ماء” (maa’ – water), “شمس” (shams – sun), “قمر” (qamar – moon), “أم” (umm – mother), “أب” (ab – father), “أكل” (akl – eat), “بيت” (bayt – house), “جيد” (jayyid – good), “يوم” (yawm – day), and “ليل” (layl – night).
   • Hebrew: Common words include “מים” (mayim – water), “שמש” (shemesh – sun), “ירח” (yare’ach – moon), “אם” (em – mother), “אב” (av – father), “אכל” (akhal – eat), “בית” (bayit – house), “טוב” (tov – good), “יום” (yom – day), and “לילה” (laylah – night).

These are just a few examples from various language families and groups found between Europe and Asia. There are many more languages spoken in this region, each with its own vocabulary and linguistic characteristics.

Despite their linguistic diversity, there are some commonalities shared among the languages mentioned:

1. Basic Vocabulary: Across languages, there are fundamental words related to everyday life that tend to have similarities. For example, words for “water,” “sun,” “moon,” “mother,” “father,” “eat,” “house,” “good,” “day,” and “night” often exhibit resemblances or cognates.
2. Cultural Concepts: Certain concepts are universal across cultures and thus have similar linguistic expressions. These include family relationships (mother, father), celestial bodies (sun, moon), essential activities (eating), and environmental elements (water, house).
3. Language Contact and Borrowing: Throughout history, languages have interacted through trade, conquest, migration, and cultural exchange, leading to borrowing of words and linguistic influences. This can result in shared vocabulary or loanwords among languages.
4. Cultural Exchange: Regions like Europe and Asia have a long history of cultural exchange through trade routes, conquests, and migrations, facilitating linguistic interactions and shared vocabulary.
5. Common Ancestry: Some languages may share a common ancestry or belong to the same language family, leading to similarities in vocabulary and structure. For instance, many Indo-European languages share common roots due to their descent from a common ancestor, Proto-Indo-European.

Overall, while languages may vary significantly in terms of grammar, phonology, and lexicon, they often share commonalities due to historical, cultural, and linguistic factors.

The common traceable roots of the languages mentioned can often be found by tracing them back to their respective language families or proto-languages. Here are the predominant language families or proto-languages for each group mentioned:

1. Indo-European Languages:
   • Common root: Proto-Indo-European (PIE)
   • Indo-European languages, including English, Russian, and others mentioned, are descendants of the reconstructed Proto-Indo-European language, which is believed to have originated thousands of years ago.
2. Turkic Languages:
   • Common root: Proto-Turkic
   • Turkic languages, such as Turkish and Azerbaijani, are descendants of the Proto-Turkic language, believed to have originated in Central Asia.
3. Uralic Languages:
   • Common root: Proto-Uralic
   • Uralic languages, including Finnish and Hungarian, are believed to descend from the reconstructed Proto-Uralic language, originating in the Ural Mountains region.
4. Semitic Languages:
   • Common root: Proto-Semitic
   • Semitic languages, such as Arabic and Hebrew, trace their origins back to the reconstructed Proto-Semitic language, believed to have originated in the Middle East.

Each of these proto-languages represents a hypothetical reconstructed ancestor of the respective language families. Linguists have inferred these proto-languages through comparative linguistic analysis, examining similarities and regular sound changes across descendant languages. While these reconstructions are not directly attested in historical records, they provide valuable insights into the historical development and relationships among languages within each family.

Linguistically, the languages mentioned exhibit both similarities and differences, depending on various factors such as their historical relationships, typological features, and cultural influences. Here’s a breakdown:

1. Similarities:
   • Common Vocabulary: Many languages share basic vocabulary related to essential concepts such as family relationships, natural phenomena, and everyday activities. This shared vocabulary often reflects common cultural experiences and historical interactions.
   • Typological Features: Some languages within the same language families or geographical regions may share typological features, such as word order patterns, grammatical structures, or phonological characteristics.
   • Historical Relationships: Languages within the same language family, such as Indo-European or Turkic languages, often exhibit similarities in grammar and vocabulary due to their shared ancestry and historical development from a common proto-language.
2. Differences:
   • Grammar: While languages may share some grammatical features, they can also differ significantly in their grammatical systems, including verb conjugation, noun declension, and syntactic structures.
   • Phonology: Languages may have distinct sound systems, including different phonemes, phonotactics (allowed combinations of sounds), and intonation patterns.
   • Lexicon: While there is often shared vocabulary among languages, each language also develops its own unique lexicon through internal evolution, borrowing from other languages, and cultural influences.
3. Contact and Influence: Languages in contact with each other, whether through trade, conquest, or cultural exchange, often borrow words, grammatical structures, and other linguistic features from one another. This can lead to linguistic convergence and shared innovations but may also result in divergence and the development of distinct linguistic features over time.

Overall, while languages may exhibit both similarities and differences, the degree of linguistic similarity or difference depends on various factors, including their genetic relationship, historical contact, and cultural context.

Pinpointing the exact point where languages begin to diverge significantly from their common linguistic ancestry is challenging due to the gradual and continuous nature of language change. However, linguists use various methods and criteria to approximate when divergence occurs. Here are some factors that contribute to the divergence of languages:

1. Proto-Language Reconstruction: Linguists reconstruct proto-languages, such as Proto-Indo-European, Proto-Turkic, and Proto-Uralic, based on comparative linguistic analysis of descendant languages. As languages evolve over time, they gradually diverge from their proto-language due to phonological, morphological, and lexical changes. The further back in time we go from the proto-language, the more similarities we expect to find among its descendants.
2. Sound Shifts and Phonological Changes: One of the primary indicators of linguistic divergence is the occurrence of sound shifts, where phonemes in the proto-language change systematically across descendant languages. Identifying these sound changes helps linguists establish the approximate time depth at which languages began to diverge.
3. Lexical Innovation and Borrowing: Languages develop new vocabulary over time through internal processes such as word formation and semantic change. Additionally, languages borrow words from other languages they come into contact with. Tracking the divergence of vocabulary and the emergence of loanwords can provide insights into the historical interactions and divergence of languages.
4. Grammatical and Syntactic Changes: Changes in grammatical structures and syntactic patterns also contribute to linguistic divergence. While some languages may retain similar syntactic structures over time, others may innovate or simplify their grammar, leading to divergence from their common linguistic ancestry.
5. Geographical and Cultural Factors: Languages spoken in different geographical regions may diverge more rapidly due to isolation and limited contact with other linguistic communities. Cultural factors, such as societal norms, technological advancements, and religious influences, can also shape linguistic development and contribute to divergence.

While pinpointing the exact moment of linguistic divergence is difficult, linguistic research focuses on identifying patterns of change and understanding the processes through which languages evolve and diverge over time.