Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.
William WhewellThe hypotheses we accept ought to explain phenomena which we have observed. But they ought to do more than this: our hypotheses ought to foretell phenomena which have not yet been observed.
William WhewellHence no force, however great, can stretch a cord, however fine, into a horizontal line which is accurately straight: there will always be a bending downwards.
William WhewellPrudence supposes the value of the end to be assumed, and refers only to the adaptation of the means. It is the relation of right means for given ends.
William WhewellNobody since Newton has been able to use geometrical methods to the same extent for the like purposes; and as we read the Principia we feel as when we are in an ancient armoury where the weapons are of gigantic size; and as we look at them we marvel what manner of man he was who could use as a weapon what we can scarcely lift as a burden.
William Whewell