'Tis on the Proportion, Relation, and Position of Parts, that all natural Beauty depends; but 'twould be absurd thence to infer, that the Perception of Beauty, like that of Truth in geometrical Problems, consists altogether in the Perception of Relations, and was perform'd entirely by the Understanding or intellectual Faculties. In all the Sciences, our Mind, from the known Relations, investigates the unknown: But in all Decisions of Taste or external Beauty, the whole Relations are before-hand obvious to the Eye, and we thence proceed to feel a Sentiment of Complacency or Disgust, according to the Nature of the Object, and Disposition of our Organs.
EUCLID has fully explain'd all the Qualities of the Circle; but has not, in any Proposition, said a Word of its Beauty. The Reason is evident. The Beauty is not a Quality of the Circle. It lies not in any Part of the Line, whose Parts are all equally distant from a common Center. It is only the Effect, which that Figure operates upon the Mind, whose peculiar Fabric or Structure renders it susceptible of such Sentiments. In vain, would you look for it in the Circle, or seek it, either by your Senses or by mathematical Reasonings, in all the Properties of that Figure.
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