The piece depicts the scene as was described in the Revelation passage, of the four horsemen that would appear from the heavens at the time of the Apocalypse. Durer did not have the advantage of colors as Botticelli did in his paintings, but the shades and the lines created on the engraving gave off the desired effect: one of dark menace and foreboding of what it might be like should the horsemen come down in the future. The piece, while German in origin, is now located at the Metropolitan Museum of Art in New York City. Botticelli's purpose for the Birth of Venus is more whimsical, as opposed to Durer's more violent depiction of a Biblical passage. Both works intend to convey different emotions. Botticelli shows the fantasy and pleasing figures of Venus and her retinue with the...

Durer uses his wood engraving to invoke a different set of emotions. Four Horsemen of the Apocalypse is definitely a bit more violent, and the medium depicts it in the sharp lines and the shading of the work. Not to mention, Durer's subjects are also more menacing, unlike Botticelli's celebrating angels.
References

"The Birth of Venus." Botticelli | Birth of Venus. 2008. Web. 19 Feb. 2011. http://www.botticellibirthofvenus.com/.

"Albrecht Durer: Four Horsemen of the Apocalypse (19.73.209)." In Heilbrunn Timeline of Art History. New York: The Metropolitan Museum of Art, 2000 -- . http://www.metmuseum.org/toah/works-of-art/19.73.209 (October 2006)