Excerpt from Geometry the Elements of Euclid and Legendre Simplified and Arranged to Exclude From Geomtrical Reasoning the Reductio Ad Absurdum; With the Elements of Plane and Spherical Trigonometry, and Exercises in Elementary Geometry and Trigonometry

Ex way of preface, I will state what I have done in this edition, and explain the reason why I have done so. I have used such propositions only which are required to substantiate the principal theorems and problems by which the principles of Geometry have practical applica tions in Trigonometry, Surveying, Mechanics, Engineering, Navigation, and Astronomy. I have generalized the various propositions found in the school editions of Geometry, and where particular cases arise under such general propositions, I have given the demonstrations for them. I have arranged the propositions to give the Direct Method of demonstra tion in place of the Reductio ad absurdum or Indirect Method.

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