Pythagorean Triangle

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. Accordingly, in tracing the science from the earliest period of its existence, we must prepare ourselves to meet with many changes which have periodically occurred in consequence Of improve ments and discoveries in the liberal arts, and the amelioration of manners and customs, as science progressed from ignorance to learning, and from a comparatively savage condition to its present palmy state of refinement and moral culture.