The first one, Hidari-Mitsudomoe. It used by Hijikata Toshizo, the vice-commander of Shinsengumi, and more people...
Second one, was used by Samurai Hideyoshi. Taikou-Giri, Taikou specifically means "Toyotomi Hideyoshi", Kiri means "Paulownia tomentosa".
Taikou plus Kiri = Taikou-Giri
When you're in Japan, check it out!