Principles of Geometry, Mensuration, Trigonometry, Land-Surveying and Levelling: Containing Familiar Demonstrations and Illustrations of the Most ... Useful Rules and Formulæ in Mensuration and T - Tapa blanda

Sinopsis

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 Problems

In 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.

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