lara-
Nice misuse/misunderstanding of quotes. Leonardo appears to be talking about unbalanced forces which naturally results in motion. While falling implies a loss of balance, it does not follow that one call fall horizontally in perpetuity.
As far as the Brown quote is concerned, it is in perfect agreement with what the physics folks have been saying (in fact, I believe I stated pretty much the same thing in another Pose thread), that running involves the use of momentum and gravity, ideally trading off energy in one form to another. The "problem" here is that you have (conveniently) ignored the "theoretically" part of the quote. That is, if we had a perfectly lossless system, the energy imparted by the initial stride would be translated back and forth between potential and kinetic energy. In other words, as you fell from the apex of your stride, that energy would be captured perfectly upon landing, and used to propel yourself back into the next stride, and the process would repeat. That's the idealization. The problem is that you don't have a perfectly lossless system, thus a continuous application of force is required (on each stride) in order to maintain forward motion.
Let me be very clear on this point. No one is saying that you don't "fall" while running or that no energy is involved in the process. What is being stated is that due to the losses in the mechanical system, the energy "gained" by the fall is insufficient to propel through the next stride. Energy must be added (in the form of a push-off) in order to bring you back to the same exact height that you had on the previous stride. If you drop a rubber ball on a hard surface, each bounce will produce a lower height than the previous due to the losses in the system. In order to have the ball bounce forever at the same height, you'd have to design a completely lossless system (not possible) or give the ball a little energy (a nudge if you will) on each bounce.
Gatorade-
Actually, the sailboat/wind analogy does NOT work for you for one simple reason: Classical mechanics explains perfectly well the way in which the boat moves. In fact, designers of such craft rely on physics to optimize the performance of said craft. In contrast, your conjecture of how Pose works is NOT supported by classical mechanics as outlined above. All you have shown is that your command of mechanics is insufficient in these areas.