Principles of Geometry, Mensuration, Trigonometry, Land-Surveying and Levelling

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Excerpt from Principles of Geometry, Mensuration, Trigonometry, Land-Surveying and Levelling: Containing Familiar Demonstrations and Illustrations of the Most Important Propositions in Euclid's Elements, Proofs of All the Useful Rules and Formulæ in Mensuration and Trigonometry, With Their Application to the Solution of Practical ProblemsIn a course of elementary instruction, Geometry is, perhaps, not less important than Algebra. It will, there fore, be instructive to trace the origin of our ideas in geometry, with the view of suggesting to us the means whereby first notions, on this subject, should be conveyed to the mind of the learner. Geometry, no doubt, claimed attention at a very early epoch in the history of the human race. Surrounded by Obj ects of geometrical symmetry, with all that is beautiful in form, in the earth, the sea, and the heavens, man could not fail, even in the dawn of his intelligence, to trace the relations and properties of lines, surfaces, and solids. In the first rude essays at investiga tion, the scale and compasses would be used to confirm the deductions of reason, or the fortunate conjectures of intelli gence, and a vast amount of geometrical facts would be accumulated, independently of the formality of definitions.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.