There is only one denomination of a Double Eagle and it's $20.00
$10.00= Eagle
$5.00= Half Eagle
$2.50= Quarter Eagle
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$20.00= Double Eagle/ $10.00= Eagle/ $5.00= Half Eagle/ $2.50= Quarter Eagle and $1.00 & $3.00 gold coins are referred to by the face value.
Only 4 denominations were struck in 1933, the Lincoln cent a Walking Liberty Half dollar a Indian Head $10.00 gold eagle and the $20.00 Saint-Gaudens double eagle
The US Mint issued gold coins in 4 denominations in 1908; the Quarter Eagle { $2.50 }, the Half Eagle { $5.00 }, the Eagle {$10.00 }, the Double Eagle { $20.00 }. Please examine your coin and submit a new question giving the denomination as well as the date of the coin.
Intially the US currency was meant to be decimal based with five denominations - the Mil, the Cent, the Dime, the Dollar and the Eagle. The Mil, however, was never produced as a separate coin. There were to be 10 Mils to the Cent, 10 Cents to the Dime, 10 Dimes to the Dollar and 10 Dollars to the Eagle. Thus a 20 Dollar coin would be the equivalent of 2 Eagles - a "Double Eagle."
The United States Mint issued 6 different denominations of gold coins in 1878, One Dollar, Quarter Eagle ($2.50), Three Dollars, Half Eagle ($5), Eagle ($10), and Double Eagle ($20). Depending on which of these coins you have, what condition it is in, and what mintmark it has, this coin can be worth anywhere from $200 to $40,000.