This section is from the book "The Complete Cook", by J. M. Sanderson. Also available from Amazon: The Complete Cook.
Reduce one ounce of cochineal to a fine powder, add to it six quarts of clear rain or filtered water, as for cochineal. Put this into a large tin saucepan, or a copper one tinned, and let it boil for three minutes, then add twenty-five grains of alum, and let it boil two minutes longer; take it off the fire to cool; when it is blood warm pour off the clear liquor into shallow vessels, and put them by to settle for two days, covering them with paper to keep out the dust. In case the carmine has not separated properly, add a few drops of a solution of tin, or a solution of green vitriol, which is tin dissolved in muriatic acid, or the following may be substituted: - one ounce and a half of spirit of nitre, three scruples of sal-ammoniac, three scruples of tin dissolved in a bottle, and use a few drops as required. When the carmine has settled, decant off the clear which is liquid rouge. The first sediment is Florence lake, which remove, and dry the carmine for use. This preparation is by far superior to the first, for in this the same colour is obtained as before, which is the liquid rouge, the other and more expensive parts being invariably thrown away. The carmine can be obtained by the first process, as can be seen if the whole is poured into a clear Dottle and allowed to settle, when the carmine will be deposited in a layer of bright red near the bottom. It produces about half an ounce of carmine.
 
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