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Numerical Problems in Plane Geometry

Numerical Problems in Plane Geometry


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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. 1896 Excerpt: ...67. Let A B C be a right triangle. The two sides about the right angle C are respectively 455 and 1,092 feet. The hypotenuse A B is divided into two segments A E and B E by the perpendicular upon it from C. Compute the lengths of A E, B E, and 0 E.--Yale. 68. C is any point on the straight portion, A B, of the boundary of a semicircle. C D, drawn at right angles to AB, meets the circumference at D. DO is drawn to the centre, 0, of the circle, and the perpendicular dropped from C upon 0 D meets 0 D at E. Show that D G is a mean proportional to A 0 and D E.--Harvard. 69. The length of one side of a right triangle is 12, and the length of the perpendicular from its extremity to the hypotenuse is 4T8j. Find the lengths of hypotenuse and other side.--Mass. Inst. Tech. 70. The three sides of a triangle are 6, 8, 10 units long; compute the lengths of the three medial lines.--Cornell. 71. The area of a rectangle is 64, the difference of two adjacent sides is 12; construct the rectangle.--Bowdoin. 72. Prove that if any point on one of the diagonals of a parallelogram be joined to the vertices, of the triangles thus formed, those having the same base are equivalent.--U. of Gal. 73. In a triangle A B C, let 0 be the point in which the medians (lines drawn from the vertices to the middle points of the opposite sides) intersect. Prove that the triangles OAB, OAC, OBC are equivalent.--Amherst. 74. If two equivalent triangles have a common base, and lie on opposite sides of it, the base, or the base produced, will bisect the line joining the vertices.--Dartmouth. 75. If the perimeter of a rectangle is 72 feet, and the length is equal to twice the width, find the area.--Johns Hopkins University. 76. The area of a certain isosceles triangle is 50 square feet, and each of it...


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Product Details
  • ISBN-13: 9781130342031
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1130342034
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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