"To the kids who say they'll never use mathematics in daily life." - Manbo's comments
This song was made for the MUSIC STUDY PROJECT, a project to make Vocaloid songs that teach various school subjects. The second album's theme is "middle-school math," so this is the song for geometric construction.
I'm pretty sure "roponiccho" and "paramahamolger" are just nonsense indicating the level of his math knowledge. Pretty sure. Or else I must've really missed something in math class.
Original video: http://www.nicovideo.jp/watch/sm30675843