I don't think so.
ape ( P ) Pronunciation Key (p) n.
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http://www.britannica.com/eb/article-67269 ----(human evolution)
Hominidae are distinguished from Pongidae (anthropoid apes) by evolutionary trends that illustrate the adaptations of each for different environmental situations.
Humans are more closely related to chimpanzees than chimpanzees are to gorillas. If chimpanzees and gorillas are apes, then so are humans. That seems to be the general reasoning behind it.
Wikipedia explains it in a lot of detail: http://en.wikipedia.org/wiki/Ape#Historical_and_modern_terminology (which is where I read it)
And while you are right that wikipedia is not a primary source, it is equally true that neither the American Heritage Dictionary of the English Language nor the Encyclopedia Britannica is the arbiter of scientific knowledge. When defining "ape" scientifically, both of these sources are irrelevant.
This is an abstract discussing some of the modern taxonomy