Excerpt from Lessons on Form: Or, an Introduction to Geometry, as Given in a Pestalozzian School, Cheam, Surrey Bacon has made an observation to this eifect that a man really possesses only that knowledge, which he in some sort creates for himself. To apply to in tellectual instruction the principle implied in these words was the aim of Pestalozzi. It is a principle admitting of various degrees, as well as modes of application, in the different branches of human know ledge; but in no one can it be more extensively ap plied than in Geometry. That science is peculiarly the creation of the human mind, in which, independ ent of external nature, and complete in its own re sources, lt builds _up the solid but airy fabric of its abstractions. It needs no laboratory to test its con elusions, no observatory to obtain data for its cal culations; rendering aid to other sciences, it asks none for itself. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.