New Solid Geometry

New Solid Geometry

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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. 1908 edition. Excerpt: ...whose base is a circle. 240 A right circular cylinder is called a cylinder of revolution because it may be generated by the revolution of a rectangle about one of its sides as an axis ( 371). Similar cylinders of revolution are cylinders by the revolution of similar rectangles about homologous sides as axes. 481. It follows from the definitions of 480 that the elements of the lateral surface of a cylinder are equal and parallel. ' ( 365) 482. A section of a cylinder made by a plane passing through an element of the lateral surface is a parallelogram. Given ABOD a section of cylinder AR made by a plane passing through AB, an element of the lateral surface. To Prove section ABCD a U. Proof. 1. We have AD, B0' II str. lines. ( 348, 364) 2. If a str. line be drawn from C in plane ACIIAB, it is an element.-( 481, 71) 3. Then, it must be the intersection of plane AC and the cylindrical surface and coincide with CD; and CD II AB. 483. It follows froin 482 that a section of a right cylinder made by a plane perpendicular to its base is a rectangle. 5. Then, all points in perimeter A'B' will fall in perimeter AB, and bases are equal. The following are consequences of 484. 485. The sections of a cylinder made by two parallel planes cutting all the elements are equal. For they are the bases of a cylinder. 486. The section of a cylinder made by a plane parallel to the base is equal to the base. MEASUREMENT OF CYLINDERS DEIVINITIONS ' 487. The lateral area of a cylinder is the area of its lateral surface. A right section of a cylinder is a section made by a plane perpendicular to the elements of its lateral surface. A prism is said to be inscribed in a cylinder when its lateral edges more

Product details

  • Paperback | 26 pages
  • 189 x 246 x 1mm | 68g
  • United States
  • English
  • black & white illustrations
  • 1236839838
  • 9781236839831