Bow Guy. Yes, shooting for the center of the target/body is the goal. However, when we're above the animal at a fairly steep angle, the center of the mass (we see) is closer to the animal's back than its side. Let's say a deer is standing broadside at 15 yards. From the same level, we can see his ridge line and his belly line. Lets say the distance between the two lines is about 18 inches. A shot to the center, between those two lines, 9 inches up from the belly line, should hit the center of the lungs.
Now, get 15 feet or higher above the animal. We can no longer see the belly line because the animal's body curves inward toward the belly, beginning 4 to 6 inches above the belly. Thus, the lowest part of the animal (that we can now see) is 4 to 6 inches up the body. At the same time, now we can see to the other side of the animal's back line, say 4 to 6 inches further off the opposite side of the critter's spine. The distance between the two visual lines is still 18 inches, but if we shoot the center of the mass (we can see now), the arrow will impact high, about 13 to 15 inches above the belly line, and it's likely to take out only the offside lung. Actually the distance between the two lines shrinks the higher one is above the animal.
"Shoot at the lower third of the body" is not the visual image I wanted to convey. Poorly phrased. What I was trying to say is aim a third of the way up the mass (that we see) from above. That should place the arrow center body. And even if we end up shooting a little high because we don't bend at the waist, we should still get both lungs. Hope that makes sense.
This is particularly important the higher and closer the hunter is to the animal. The farther away the animal is and the lower the hunter is, the less the need for aiming lower than the center on the body mass (that we can see). When the hunter is on the same level as the critter, the aim is again at the center of the body/mass, unless the shooter is going for a heart shot.
I hope the parenthesis weren't distracting. Can't bold or underline so I used them for emphasis.