Shop Mathematics; Advanced Shop Mathematics

Shop Mathematics; Advanced Shop Mathematics

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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. 1913 edition. Excerpt: ... a right triangle. If all of the angles of a triangle are acute angles, as in Fig. 84, the triangle may be called an Acute Triangle. If one of the angles of a triangle is an obtuse angle, as in Fig. 85, the triangle may be called an Obtuse Triangle. When a triangle has two of its sides equal, as shown in Fig. 86, the triangle is called an Isosceles Triangle. The angles opposite these sides are also equal; in Fig. 86 LCAB = L.CBA. When a triangle has all three sides equal, the triangle is called an Equilateral Triangle. The three angles are also equal. In Fig. 87, AB = AC = BC; also L.CAB = L.CBA = l_ACB. The altitude or height of an equilateral triangle is--times one side of the triangle. Let the triangle of Fig. 88 represent any equilateral triangle with each side s and the altitude a. The altitude will divide the triangle into two equal right triangles and the base into two equal parts, each in length. Then, considering the right triangle CDB, we will have Since V3 = 1.732+ this formula can be reduced to a =.866 s If we wish to get the side when the altitude is given, we can transform this formula as follows: a =.866 s a 1 8.866.866 a s = 1.155 a Put in words, this means that one side of an equilateral triangle equals 1.155 times the altitude. If any triangle is cut out of paper, and then the three corners are torn off as shown in Fig. 89 and placed with their vertices together, the three angles will form a straight line or an angle of 180. In other words, the sum of the three angles of any triangle equals two right angles or 180. From this it will be seen that each angle of an equilateral triangle equals $ of 180 = 60. 63. The Square.--The best known quadrilateral or four-sided figure is the Square, which has all four sides equal and all of...show more

Product details

  • Paperback | 50 pages
  • 189 x 246 x 3mm | 109g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236599268
  • 9781236599261