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Prnciples of Plane Geometry

Prnciples of Plane Geometry


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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: Proposition XXIII. A Theorem. 56. If an angle be bisected by a straight line, every point in the bisector is equally distant from the sides. Proposition XXIV. A Theorem. 57. Conversely, every included point equally distant from the sides of an angle is in the bisector of the angle. Scholium. What is the locus of a point equally distant from the sides of an angle ? VI. Triangles. 58. What is a triangle? a. An equilateral triangle ? 3. An isosceles triangle ? Illustrations. c. A scalene triangle ? Illustrations. d. A right-angled, or right triangle ? e. An obtuse-angled, or obtuse triangle ? f. An equiangular triangle? 59. What is the hypotenuse of a right triangle? a. What are the other sides called ? 60. When are triangles equal? Equivalent? a. What are homologous sides and angles of equal triangles ? 61. What is the base of a triangle ? a. What the altitude ? b. What are its medians ? Proposition XXV. A Theorem. 62. The sum of two sides of a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, each to each, the other homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal, and the triangles are equal. Proposition XXVIII. A Theorem. 65. If two triangles have the three sides of one equal to the three sides of the other, each to each, the triangles are equal. Proposition XXIX. A Problem. 66. Construct an equilateral triangle having sid...


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Product Details
  • ISBN-13: 9781458899545
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 229 mm
  • No of Pages: 34
  • Spine Width: 2 mm
  • Width: 152 mm
  • ISBN-10: 1458899543
  • Publisher Date: 14 Oct 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 64 gr


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