Elementary Geometry: Congruent Figures (Classic Reprint) - Hardcover

Inhaltsangabe

Excerpt from Elementary Geometry: Congruent Figures

The two modes of acquiring geometrical knowledge thus indicated, different as they are in their nature, nevertheless react continuously upon each other.

The 'science' sprung originally from a desire to systematise previous, and to guide further, experience. The axioms which form its very basis, are obtained by experience, and its study remains barren without constant recourse to the inspection of solids or their substitutes, geometrical figures. Reciprocally, the faculty above referred to of comprehending figures in space and forming clear mental pictures of them, and the art of making practical use of this faculty, are much assisted by the methodical study of Geometry.

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