On the other hand:

The types of rhyme are classified according to two schemes: (1) the position of the rhymes in the line, and (2) the number of syllables involved.
    On the basis of position, we have: (1) end rhyme, much the most common type, which occurs at the end of the line; (2) internal rhyme, which occurs at some place after the beginning and before the end of the line; (3) beginning rhyme, which occurs in the first syllable (or syllables). On the basis of the number of syllables presenting similarity of sound, we have: (1) masculine rhyme, in which the correspondence of sound is restricted to the final accented syllable as in "fan" and "ran." This type of rhyme is generally more forcible, more vigorous than those following; (2) feminine rhyme, in which the rhyming stressed syllable is followed by an undifferentiated unstressed syllable exactly matching another such unstressed syllable in the other rhyme words (note that feminine rhyme, as between "fountain" and "mountain," differs considerably from compound rhyme, as between "childhood" and wildwood," in which there is rhyme between both pairs of components). Double rhyme is another name for feminine rhyme; (3) triple rhyme, in which the rhyming stressed syllable is followed by two undifferentiated unstressed syllables, as in "glorious" and "victorious." Triple rhyme...is usually reserved for humourous, satirical verse... (from Holman, C. Hugh and William Harmon. A Handbook to Literature. 6th edition. NY: MacMillan, 1992).