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Year 1704 (MDCCIV) was a leap year starting on Tuesday (link will display the full calendar) of the Gregorian calendar and a leap year starting on Saturday of the 11-day slower Julian calendar. In the Swedish calendar it was a leap year starting on Friday, one day ahead of the Julian and ten days behind the Gregorian calendar. Events <onlyinclude> January–June August 4: Gibraltar. July–December August 13: Battle of Blenheim. Date unknown </onlyinclude> Births - January 1 – Soame Jenyns, English writer (d. 1787)
- February 12 – Charles Pinot Duclos, French writer (d. 1772)
- February 28 – Louis Godin, French astronomer (d. 1760)
- April 10 – Benjamin Heath, English classical scholar (d. 1766)
- June 4 – Benjamin Huntsman, English inventor and manufacturer (d. 1776)
- June 11 – Carlos Seixas, Portuguese composer (d. 1742)
- June 17 – John Kay, English inventor (d. 1780)
- June 22 – John Taylor, English classical scholar (d. 1766)
- June 24 – Jean-Baptiste de Boyer, Marquis d'Argens, French writer (d. 1771)
- July 15 – August Gottlieb Spangenberg, German religious leader (d. 1792)
- July 31 – Gabriel Cramer, Swiss mathematician (d. 1752)
- October 29 – John Byng, British admiral (d. 1757)
- November 1 – Paul Daniel Longolius, German encyclopedist (d. 1779)
- December 31 – Carl Gotthelf Gerlach, German organist (d. 1761)
Deaths - February 2 – Guillaume Fran ois Antoine, Marquis de l'H pital, French mathematician (b. 1661)
- February 23 – Georg Muffat, German composer (b. 1645)
- February 24 – Marc-Antoine Charpentier, French composer (b. 1643)
- March 17 – Menno van Coehoorn, Dutch military engineer (b. 1641)
- April 8 – Hiob Ludolf, German orientalist (b. 1624)
- April 8 – Henry Sydney, 1st Earl of Romney, English statesman (b. 1641)
- April 10 – William Egon of F rstenberg, Bishop of Strassburg (b. 1629)
- April 12 – Jacques-B nigne Bossuet, French bishop and writer (b. 1627)
- April 15 – Johann van Waveren Hudde, Dutch mathematician (b. 1628)
- May 3 – Heinrich Ignaz Franz Biber, Austrian composer (b. 1644)
- May 13 – Louis Bourdaloue, French Jesuit preacher (b. 1632)
- June 18 – Tom Brown, English satirist (b. 1662)
- June 30 – John Quelch, English pirate (b. 1666)
- July 3 – Sophia Alekseyevna, regent of Russia (b. 1657)
- July 7 – Pierre-Charles Le Sueur, French fur trader and explorer (b. c. 1657)
- July 20 – Peregrine White, first English child born in the Massachusetts Bay Colony (b. 1620)
- July 22 – Selim I Giray Crimean khan
- August 14 – Roland Laporte, French Protestant leader (b. 1675)
- October 28 – John Locke, English philosopher (b. 1632)
- November 4 – Andreas Acoluthus, German orientalist (b. 1654)
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