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Practical Mathematics; Being the Essentials of Arithmetic, Geometry, Algebra and Trigonometry Volume 1

Practical Mathematics; Being the Essentials of Arithmetic, Geometry, Algebra and Trigonometry Volume 1


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 edition. Excerpt: ...whose base is a circle, and whose lateral surface tapers uniformly to a point, called the vertex or apex. The axis of the cone is a straight line drawn from the vertex to the center of the base. A right circular cone is a cone whose base is a circle and whose axis is perpendicular to the base. Fig. 114 is a right circular cone. This might also be defined as a solid formed by a right triangle revolved about one of its legs as an axis. It may be called a cone of revolution. The altitude of a cone is the perpendicular distance from the vertex to the base. The slant height is a straight line drawn from the vertex to the circumference. of the base. In Fig. 114, OF is the altitude, and AF the slant height. 74. Frustum.--If the top of a pyramid or a cone is cut off by a plane parallel to the base the remaining part is called a frustum of a pyramid or a cone. In Fig. 115, (a) and (b) are frustums. The altitude of a frustum is the length of the perpendicular between the bases, as NM of Fig. 115. The slant height of the frustum of a right pyramid or cone is the shortest line between the perimeters of the two bases. It is perpendicular to the edge of each base in the frustum of a right pyramid; and is, therefore, the altitude of the trapezoids that form the faces of the frustum. In Fig. 115 (a), PQ is the slant height. 75. Areas.--The lateral area of a right pyramid is found by taking the sum of the areas of the triangles forming the faces of the pyramid. Since the altitudes of these triangles are each the slant height of the pyramid, they are equal. Because the base of a right pyramid is a regular polygon, the bases of the triangles are equal. We then have the following: Rule.--The lateral area of a right pyramid or cone equals the perimeter of the...


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Product Details
  • ISBN-13: 9781231725528
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 102
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1231725524
  • Publisher Date: 24 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 195 gr


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