Elements of Geometry and Conic Sections (Classic Reprint)

Excerpt from Elements of Geometry and Conic Sections

Considerable attention has been given to the construction of the die grams. I have aimed to reduce them all to nearly uniform dimensions, and to make them tolerable approximations to the Objects they were de signed to represent. I have made free use of dotted lines. Generally, the black lines are used to represent those parts of a figure which are directly involved in the statement of the pi'oposition; while the dotted lines exhibit the parts which are added for the purposes of demonstration. In Solid Geometry the dotted lines commonly denote the parts which would be concealed by an opaque solid while in a few cases, for pecul iar reasons, both of these rules have been departed from. Throughout Solid Geometry the figures have generally been shaded, which addition, it is hoped, will obviate some of the difficulties of which students frequent ly complain.

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