The full version of that section is more amusing but forgotten
>> But why, some say, the moon? Why choose this as our goal? And they may as well ask: why climb the highest mountain? Why 35 years ago fly the Atlantic? Why does Rice play Texas? We choose to go to the moon {applause} We choose to go to the moon... {applause} We choose to go to the moon in this decade and do the other things, not because they are easy, but because they are hard -- because that goal will serve to organize and measure the best of our energies and skills -- because that challenge is one we are willing to accept, one we are unwilling to postpone, and one we intend to win. (And the others too)
(as spoken and delivered at Rice University in Houston, Texas, referencing the Rice-Texas American football rivalry, where Texas is a 10x larger university)