Publisher's Synopsis
Excerpt from General Problems in the Linear Perspective of Form, Shadow, and Reflection: Or the Scenographic Projections of Descriptive Geometry
Any one, then, who compares Pl. XVII., fig. 111, for example, and its companion Fig. 112, or tender, to supply meaning to it, with Pl. XVII., Fig. 113, will understand how the mind, trained in the modem methods of Descriptive Geometry, loves the fixed horizontal plane to stand upon, and the vertical plane to lean upon - in simple words, two fixed planes of reference - rather than a single such plane, into which, as in P1. XVII., Fig. 111, everything must be revolved and treated in its revolved position.
But now that the difficulties here noted, and which have done much to render perspective a hitherto unpopular study, have been removed, it is to be hoped that it will soon come to be welcomed; both as a valuable disciplinary instrument for the mind, in common with all the other components of Descriptive Geometry, as well as on account of the utility and beauty of its technical applications.
Agreeably to the views just expressed, no attempt has been made, in this work, to exhibit the old, unsystematic, and perplexing methods, fully; however ingenious, sometimes, in themselves, and interesting historically; though a few suggestions have been derived from them, and a few examples given, of constructions by them.
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