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4. The following is a completely different view of Sagittarius (but very much like that in my astronomy book). I have rotated the image to make time flow downwards, the natural way to view the night sky close to the horizon in the west:

For easier orientation I have inserted letters and numbers for most of the Sagittarius stars and delineated the curve described by the Corona Australis stars.

η is a little higher up in the picture than δ, ε, and λ. From λ down to φ there is a gap corresponding to the time of Vega far up in the north, and φ marks 'December 30:

Ga8-10 (*277) Ga8-11 Ga8-12 (216)
  24 M. (276.7), η Sagittarii (276.9) Kaus Medius, κ Lyrae (277.5), Tung Hae (277.7), Kaus Australis (278.3) Al Athfar (278.6), Kaus Borealis (279.3)
'December 23 '24 '25 (359)
"October 21 "22 (295) "23
Ga8-13 (*280) Ga8-14 Ga8-15 Ga8-16
    Vega (281.8)  
'26 (360) '27 '28 '29
"24 "25 "26 "27 (300)
 
Ga8-17 Ga8-18 (222) Ga8-19 Ga8-20
Double Double (283.7), ζ Lyrae (283.8), φ Sagittarii (284.1) Sheliak, ν Lyrae (285.1) Ain al Rami (286.2), δ Lyrae (286.3) Alya (286.6), ξ Sagittarii (287.1), Sulaphat (287.4)
'December 30 (364) '31 'May 24 (144) '25
Ga8-21 Ga8-22 Ga8-23 Ga8-24 Ga8-25 Ga8-26
λ Lyrae (287.7), Ascella (287.9), Nunki (288.4) Manubrium (288.8), τ Sagittarii (289.4) ι Lyrae (289.5), Al Baldah (290.1) Aladfar (291.1) ψ Sagittarii (291.6), θ Lyrae (291.8)  
'May 26 (146) 19h (289.2) '28 '29 '30 '31

At the top one can imagine a bow described by μ, λ, δ, ε, and η, with the line from γ to δ as its arrow. The target seems to be in a direction leading between Ascella (ζ) and Nunki (σ). Possibly the target is τ Sagittarii close to the 19h line and at the bottom of the V formed by σ, ζ, and τ.

On the other hand, these things are complicated. Allen says Nunki is at the tail end of the arrow:

"In India it [σ] marked the junction of the nakshatra Ashādhā with Abhihjit. It lies on the vane of the arrow at the Archer's hand.

σ, with ζ and π, may have been the Akkadian Gu-shi-rab-ba, the Yoke of the Sea.

The 5th magnitude stars ψ¹, χ¹, and χ² were the Chinese asterism Kow, the Dog."