"If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws"

This quote by Henri Poincare is referring to the capability to anticipate a phenomenon based upon the laws that govern it. He is recommending that if we are able to anticipate the next circumstance with a certain degree of precision, then we can state that the phenomenon has been forecasted. This implies that the laws governing the phenomenon are trustworthy and can be used to make predictions. Poincare is stressing the significance of understanding the laws that govern a phenomenon in order to make precise predictions. He is recommending that if we can accurately anticipate the next scenario, then we can state that the phenomenon has been predicted and is governed by the laws. This quote highlights the significance of understanding the laws that govern a phenomenon in order to make precise forecasts.