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Euclid, Book 1, with Notes and Exercises by B. Arnett

Euclid, Book 1, with Notes and Exercises by B. Arnett


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1885 Excerpt: ...KLG together equal to two rt. Z s. DE shall be ll to FG. REFERENCES. Ax. 1. Things which are equal to the same thing are equal to one another. Ax. 3. If equals be taken from equals the remainders are equal. Ax. 11. All right angles are equal to one another. L Xiii. The angles which one straight line makes with another straight line on one side of it, either are two right angles, or are together equal to two right angles. I. xv. If two straight lines cut one another, the vertical, opposite angles shall be equal. I. Xxvii. If a straight line falling on two other straight lines, make the alternate angles equal to one another, the two straight lines shall be parallel to one another. EXEECISES. 1. If a straight line falling on two other straight lines, make the exterior angle unequal to the interior and opposite angle on the same side of the line, the two straight lines shall not be parallel. 2. A square is a parallelogram. 3. Straight lines which are perpendicular to the same straight line are parallel to one another. 4. Two opposite angles of a quadrilateral are together equal to two right angles, and one of them is equal to a third angle of the figure; prove that the quadrilateral has two sides parallel. 5. A quadrilateral ABCD has the angles ABC, BCD supplementary, as also the angles ABC, BAD. Prove that ABCD is a parallelogram. 6. Two triangles ABC, DEF, having the angle ABC equal to the angle DEF, and the angle ACB to the angle DFE, are placed so that BC and EF are in the same straight line BCEF, and the triangles on the same side of it. Prove that neither BA, FD are parallel nor AC, DE; but that BA, AC, FD, DE, when produced, will form the sides of a parallelogram. 7. If one of the equal sides of an isosceles triangle be produced through the vertex, the b...


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Product Details
  • ISBN-13: 9781130491234
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 44
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130491234
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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