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Thus if we desire to know why the outward angles of a triangle are equal to four right angles, and it is answered, Because the triangle is isosceles; we again ask, but why Because isosceles? And if it be replied, Because it is a triangle; we may again inquire, But why because a triangle? To which we finally answer, because a triangle is a right-lined figure.
Oldbourne, a widower, over stiff and stern for a clergyman, whose severe white neckcloth, well-kept gray hair, and right-lined face betokened none of those sympathetic traits whereon depends so much of a parson's power to do good among his fellow-creatures. The last, far-removed man of the series altogether the Neptune of these local primaries was the curate, Mr. Alwyn Hill.
How infinitely is thy puddle-headed, rattleheaded, wrong-headed, round-headed slave indebted to thy super-eminent goodness, that from the luminous path of thy own right-lined rectitude, thou lookest benignly down on an erring wretch, of whom the zig-zag wanderings defy all the powers of calculation, from the simple copulation of units, up to the hidden mysteries of fluxions!
This last sentence we regard as the fundamental canon concerning beauty, governing, with a slight change of terms, beauty in all its departments. Beginning with the fundamental division of figures into curvilinear and rectilinear, this dictum decides, that, in general, a curved outline is more beautiful than a right-lined figure.
Thus the idea of a right-lined triangle necessarily carries with it an equality of its angles to two right ones. Nor can we conceive this relation, this connexion of these two ideas, to be possibly mutable, or to depend on any arbitrary power, which of choice made it thus, or could make it otherwise.
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