The compound adjective 'ten-inch' is a straightforward combination of the numeral and the unit of measure. 'Ten' descends from the Proto-Indo-European root dekm, which gave rise to the cardinal number across many Indo-European languages, signifying a fundamental quantitative concept. 'Inch' has a more specific lineage, originating from the Latin 'uncia', meaning a twelfth part, which was applied to both weight (ounce) and length. The literal combination, 'ten of these twelfth-parts of a foot', directly and logically describes a precise linear measurement, with the modern usage abstracted only in its application to various measured objects.

Structure: ten (number) + inch (unit of measurement) - ten: From Old English 'tēn', 'tīen', of Germanic origin; related to Dutch 'tien' and German 'zehn', from an Indo-European root shared by Latin 'decem' and Greek 'deka'. Functions as a cardinal numeral. - inch: From Old English 'ynce', a borrowing from Latin 'uncia' meaning 'twelfth part' (of a foot or other measure). Functions as a noun denoting a unit of linear measure.