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Chess Opening Theory/1. e4/1...e5/2. f4/2...exf4/3. Nf3/3...g5/4. Bc4
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King's Gambit Accepted rd nd bd qd kd bd nd rd pd pd pd pd pd pd pd bl pl pd nl pl pl pl pl pl pl rl nl bl ql kl rl King's Gambit
King's Gambit Accepted, 4.Bc4
With 4.Bc4, White directly defends against Black's threat of 4...g4; White vacates the f1 square for their king once they are checked by the Black queen on h4.
From here, Black has two main options; continue with 4...Bg7 development, or push forward with their plans with 4...g4 to unseat the f3 knight. After the latter, there are many great aggressive options for White.
The most popular continuation is the Muzio Gambit with 5.O-O, giving up the f3 knight but establishing a monstrous lead in development, with which White will mercilessly attack Black.
Another fun option is the Lolli Gambit with 5.Bxf7+, sacrificing the bishop on f7 but luring Black's king out into the open, giving rise to another ripe attacking position for White.
A more mainline option is the simple 5.Ne5, the Salvio Gambit; after 5...Qh4+, we see the deeper point behind the earlier 4.Bc4; White can now play Kf1 (similar to the King's Bishop Gambit). White pursues an attack against Black, down only a pawn instead of a piece.
Theory table
.
1.e4 e5 2.f4 exf4 3.Nf3 g5 4.Bc4
4
5
6
7
8
Traditional (Hanstein) Variation
Bc4Bg7
d4
d6
O-Oh6
c3Nc6
g3g4
=+
Philidor Gambit
......
h4
h6
d4d6
c3Nc6
O-OBg4
=
Muzio Gambit
...
g4
O-O!gxf3
Qxf3Qf6
e5!?Qxe5
d3Bh6
∞
Double Muzio Gambit
...
...
...
...
...
...
...
...
Bxf7+
Kxf7
∞
Kings Gambit
References
Modern Chess Openings: MCO-14. 1999. Nick de Firmian, Walter Korn. 0-8129-3084-3.