"It has adopted the geometry most advantageous to the species or, in other words, the most convenient"

This quote by Henri Poincare is referring to the idea that types have actually adapted to their atmosphere in order to make it through. He is recommending that the types have adopted the geometry that is most valuable to them, or in other words, the most convenient. This can suggest that the species have adapted to their environment in order to make their lives less complicated. For example, a bird might have adapted its wings to be able to fly more efficiently, or a fish may have adjusted its body to be able to swim quicker. This concept of adaptation is a vital concept in evolutionary biology, as it suggests that species have actually evolved gradually in order to much better survive in their environment. This quote by Henri Poincare is a suggestion that species have adjusted to their environment in order to endure, and that this adjustment has been useful to them.