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Accipiter is a genus of birds of prey in the family Accipitridae. 
Accipitridae from Latin accipiter/accipitri- "hawk".

1/ Crested goshawk (Ưng Ấn Độ, Accipiter trivirgatus) 
2/ Besra (Ưng bụng hung, Accipiter virgatus), also called the besra sparrowhawk
3/ Eurasian goshawk (Ưng lớn, Accipiter gentilis)
4/ Chinese sparrowhawk ( Ưng lưng đen, Accipiter soloensis)
5/ Eurasian sparrowhawk (Ưng mày trắng, Accipiter nisus), also known as the northern sparrowhawk or simply the sparrowhawk
6/ Japanese sparrowhawk (Ưng Nhật Bản, Accipiter gularis)
7/ Shikra (Ưng xám, Accipiter badius) 

The Accipitridae is one of the three families within the order Accipitriformes, and is a family of small to large birds of prey with strongly hooked bills and variable morphology based on diet. 

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).

The bazas, Aviceda, are a genus of bird of prey in the family Accipitridae, sometimes known as cuckoo-hawks. 

1/ Jerdon's baza (Diều hoa Jerdon, Aviceda jerdoni)
2/ Black baza (Diều mào, Aviceda leuphotes)

Accipitridae from Latin accipiter/accipitri- "hawk".
Aviceda: Latin: avis 'bird'; -cida 'killer', from caedere 'to kill'.

Butastur is a genus of birds of prey in the family Accipitridae.

1/ Grey-faced buzzard (Diều Ấn độ, Butastur indicus)
2/ Rufous-winged buzzard (Diều xám, Butastur liventer)

Buteo is a genus of medium to fairly large, wide-ranging raptors with a robust body and broad wings. Buteo is the Latin name of the common buzzard.

1/ Common buzzard (Diều Nhật Bản, Buteo buteo)

Aegypius is a genus of Old World vultures found in the subfamily Gypinae. Of the three species in the genus, only the cinereous vulture (Aegypius monachus) is extant.

1/ Cinereous vulture (Đại bàng đầu trọc, Aegypius monachus)

Aquila is the genus of true eagles. The genus name is Latin for "eagle", possibly derived from aquilus, "dark in colour".

1/ Eastern imperial eagle (Đại bàng đầu nâu, Aquila heliaca)
2/ Steppe eagle (Đại bàng hung, Aquila nipalensis) 
3/ Tawny eagle (Đại bàng nâu, Aquila rapax) 
4/ Bonelli's eagle (Đại bàng má trắng, Aquila fasciata)

Circaetus, the snake eagles, is a genus of medium-sized eagles in the bird of prey family Accipitridae.

1/ Short-toed snake eagle (Diều ngón ngắn, Circaetus gallicus), also known as the short-toed eagle

Clanga is a genus which contains the spotted eagles. The genus name is from Ancient Greek klangos, "eagle".

1/ Greater spotted eagle (Đại bàng đen, Clanga clanga), also called the spotted eagle
Once thought to be a member of the genus Aquila, but was reclassified to a distinct genus, Clanga, along with the two other species of spotted eagle.

Haliaeetus is a genus of four species of eagles, closely related to the sea eagles in the genus Ichthyophaga.

1/ Pallas's fish eagle (Đại bàng biển đuôi trắng, Haliaeetus leucoryphus), also known as Pallas's sea eagle or band-tailed fish eagle

Elanus is a genus of bird of prey in the elanine kite subfamily. The name is from the Ancient Greek elanos for a "kite".

1/ Black-winged kite (Elanus caeruleus), also known as the black-shouldered kite

Circus is a genus of birds in the family Accipitridae. The genus includes most harriers which are of the several species of diurnal hawks.

1/ Pallid Harrier (Diều Bụng trắng, Circus macrourus)
2/ Eastern marsh harrier (Diều đầu trắng, Circus spilonotus)
3/ Pied harrier (Diều mướp, Circus melanoleucos) 

Icthyophaga or Ichthyophaga is a genus of six species of eagles, closely related to the sea eagles in the genus Haliaeetus. Some taxonomic authorities place this genus within Haliaeetus.

Accipitridae from Latin accipiter/accipitri- "hawk".
ichthyaetus: Greek: ikhthus fish; aetos eagle.
Ichthyophaga Greek ikhthuophagos fish-eating (ikhthus: fish; -phagos -eating;  phagein to eat or "devour").

1/ White-bellied sea eagle (Đại bàng biển bụng trắng, Icthyophaga leucogaster), also known as the white-breasted sea eagle
Also Haliaeetus leucogaster.
2/ Grey-headed fish eagle (Diều cá đầu xám, Icthyophaga ichthyaetus)
3/ Lesser fish eagle (Diều cá bé, Icthyophaga humilis)

Ictinaetus is a genus in the family Accipitridae. The genus has only one member the black eagle.

accipiter: From Latin accipiter (“hawk”).
Ictinaetus: From Ancient Greek ἰκτῖνος (iktînos, “kite”) + ἀετός (aetós, “eagle”).

1/ Black eagle (Đại bàng Ma Lai, Ictinaetus malaiensis)

Haliastur is a genus of medium-sized diurnal birds of prey. 

1/ Brahminy kite (Diều lửa, Haliastur indus), also known as the red-backed sea-eagle

Lophotriorchis is a genus of four species of eagles in the family Accipitridae.

Accipitridae from Latin accipiter/accipitri- "hawk".
Lophotriorchis (synonym Hieraaetus) Greek lophos crest; triorkhes: hawk.

1/ Rufous-bellied eagle or rufous-bellied hawk-eagle (Đại bàng bụng hung, Lophotriorchis kienerii)

Nisaetus (Crested hawk-eagles group) is a genus of subfamily Aquilinae found mainly in tropical Asia,
earlier placed within the genus Spizaetus.

Accipitridae from Latin accipiter/accipitri- "hawk".
The genus name Nisaetus combines the Medieval Latin nisus for a sparrowhawk with the Ancient Greek aetos meaning "eagle".

1/ Changeable hawk-eagle (Diều đầu nâu, Nisaetus cirrhatus) or crested hawk-eagle, marsh hawk-eagle or Indian crested hawk-eagle

2/ Mountain hawk-eagle (Diều núi, Nisaetus nipalensis) or Hodgson's hawk-eagle

Pernis is a genus of birds in the family Accipitridae, subfamily Perninae whose members are commonly known as honey buzzards. 

Accipitridae from Latin accipiter/accipitri- "hawk".
The genus name is derived from Ancient Greek pernes, a term used by Aristotle for a bird of prey.

1/ Crested honey buzzard (Diều ăn ong, Pernis ptilorhynchus), also known as the Oriental, Asiatic, or Eastern honey buzzard. 

Spilornis is a genus of bird of prey in the family Accipitridae. 

Spilornis: from Greek spilos "spot"; ornis, ornithos "bird".
cheela: Hindi name Cheel for a hawk or kite.

1/ Crested serpent eagle (Diều hoa miến điện, Spilornis cheela) 

Gyps is a genus of Old World vultures whose members are sometimes known as griffon vultures.

1/ Indian vulture or long-billed vulture (Kền kền Ấn Độ, Gyps indicus)
The genus name is from Ancient Greek gups meaning "vulture" and the species name is Neo-Latin indicus from the Ancient Greek "indikos" meaning "Indian".

2/ White-rumped vulture (Kền kền măng gan, Gyps bengalensis)