Arthashastra

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सगोत्रेण अन्य गोत्रेण वा नियुक्तेन क्षेत्र जातः क्षेत्रजः पुत्रः ॥

the son begotten on a wife by another man, appointed for the purpose, and of the same gotra as that of the husband; or of a different gotra, is called kshetraja.

english translation

sagotreNa anya gotreNa vA niyuktena kSetra jAtaH kSetrajaH putraH ॥

hk transliteration by Sanscript