was a fudai feudal domain under the Tokugawa shogunate of Edo period Japan. It was located in Mino Province, in the Tà Âkai region of central Honshu. The domain was centered at à Âgaki Castle, in what is now the city of à Âgaki in Gifu Prefecture. It was ruled for most of its existence by the Toda clan.
à Âgaki is located at a strategic point on the road from Mino Province to à Âmi Province and Kyoto and was hotly contested in the Sengoku period between Saità  Dà Âsan and Oda Nobuhide. Under Oda Nobunaga, Ujiie Naotomo followed by his son Ujiie Naomasa ruled the area. Under Toyotomi Hideyoshi, the area was entrusted to Ikeda Tsuneoki, Toyotomi Hidetsugu, Toyotomi Hidenaga, Katà  Mitsuyasu, Hitotsuyanagi Naosuke, Toyotomi Hidekatsu and finally to Ità  Morimasa. In 1600, Ità  Morimasa was daimyà  of a 30,000 koku domain, which was a problem for Tokugawa Ieyasu since Ità  was a staunch supporter of Ishida Mitsunari and à Âgaki was a very short distance from Sekigahara. However, Ità  also proved to be an inept commander and failed to attack the Tokugawa armies when they were the most vulnerable, and as a result was dispossessed after the Battle of Sekigahara.
In 1601, Tokugawa Ieyasu established à Âgaki Domain, installing Ishikawa Yasumichi as daimyà  with a kokudaka of 50,000 koku. The Ishikawa clan were transferred to Hita Domain in Bungo Province in 1616 as a reward for their services at the Battle of Osaka. They were replaced by a cadet branch of the Hisamatsu-Matsudaira from 1616 to 1624, followed by the Okabe clan from 1624 to 1633, and then by another cadet branch of the Hisamatsu-Matsudaira from 1633 to 1635.
In 1635, Toda Ujikane was transferred to à Âgaki from Amagasaki Domain in Settsu Province, and the kokudaka of the domain was increased to 100,000 koku. The Toda clan would continue to rule à Âgaki until the Meiji restoration.
Toda Ujikane was instrumental in opening new rice fields, irrigation and flood control measures, planting of forests and reforming the remuneration system for his retainers. He also maintained à Âgaki Castle. under the 3rd daimyà  , Toda Ujisada, 3000 koku of new rice fields were given to his brother, Toda Ujishige, which when combined with the 7000 koku already under his name, placed him over the threshold to become daimyà  of a cadet domain, the à Âgaki Shinden Domain. This sub-domain would also endure to the Meiji restoration. The 6th daimyà Â, Toda Ujihide, attempted to implement fiscal reforms, which failed due to a peasant's revolt in 1766. The 7th daimyà Â, Toda Ujinori, served as a rà Âjà « under Tokugawa Ienari during a time of increasing Russian incursions into Japanese northern waters. The 8th daimyà Â, Toda Ujitsune, founded the han school, "Chidokan" in 1840. The 9th daimyà Â, Toda Ujimasa reformed the domain's military in 1856. The 10th daimyà Â, Toda Ujiakira attempted further reforms, but was frustrated by the Ansei Purge. The final daimyà Â, Toda Ujitaka was branded an "enemy of the crown" after the Battle of Toba-Fushimi in the Boshin War, but was able to defect to the imperial side and served as messenger of the court to other domains along the Tà Âsandà  to urge them to submit. He was later awarded a 30,000 koku increase by the Meiji government, but soon afterwards à Âgaki Domain became à Âgaki Prefecture due to the abolition of the han system, and was then absorbed into the new Gifu Prefecture.
As with most domains in the han system, Ã Âgaki Domain consisted of several discontinuous territories calculated to provide the assigned kokudaka, based on periodic cadastral surveys and projected agricultural yields.