Page:Carroll - Euclid and His Modern Rivals.djvu/182

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ACT II.

Scene VI.

§ 2. Pierce.

'dum brevis esse laboro,

Obscurus fio.’


Nie. I lay before you 'An Elementary Treatise on Plane and Solid Geometry' by Benjamin Pierce, A.M., Perkins Professor of Astronomy and Mathematics in Harvard University, published in 1872.

Min. As I have already considered, at great length, the subject of direction as treated by Mr. Wilson, I need not trouble you as to any matters where Mr. Pierce's treatment does not materially differ from his. Is there any material difference in the treatment of a straight line?

Nie. He has a Definition of direction which will, I think, be new to you:—

Reads.

P. 5. § 11, Def. 'The Direction of a Line in any part is the direction of a point at that part from the next preceding point of the Line.'