The spelling of the word "vaginiglutaeus" may seem complicated, but it is actually straightforward once you break it down. The first syllable "va-gi-ni" is pronounced as [vəˈdʒaɪnɪ], referring to the vagina. The second part "glu-tae-us" refers to the glutes or buttocks, and is pronounced as [ɡlʊˈtiːəs]. Put together, "vaginiglutaeus" refers to the muscles or muscles group that surrounds both the vagina and buttocks, which may be exercised through Kegel exercises.
Musculus tensor fasciaelatae.
A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.