Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines

Elements of Surveying with a Description of the Instruments and the Necessary Tables Including a Table of Natural Sines

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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. 1839 edition. Excerpt: ...edca. At A and E, the extremities of the right line AE, erect the two perpen-L. diculars Aa, Ee, and on each of them measure the breadth of the land. Then divide the base into any convenient number of equal parts and measure the breadth of the land at each point of division. Add together the intermediate breadths and half the sum of the two extreme ones: then multiply this sum by one of the equal cparts of the base line, and the product will be the required area very nearly (Mens. Prob. VI). 1. The breadths of an irregular figure, at five equidistant places, being 8.20 ch, 7.40 ch, 9.20 ch, 10.30 ch, and 6.60 chains, and the whole length 40 chains, required the area. 4)40 8.20 8.60 2)16.80 8.40 7.40 9.20 10.20 35.20 sum io one of the equal parts. mean of the extremes 2. The length of an irregular piece of land being 21 ch, and the breadths, at six equidistant points, being 4.35 ch, 5.15 ch, 3.55 ch, 4.12 ch, 5.02 ch, and 6.10 chains: required the area. Ms. 93 2R 30P. Remark. If it is not convenient to erect the perpendiculars at equal distances from each other, the areas of the trapezoids, into which the whole figure is divided, must be computed separately: their sum will be the required area. Problem Vii. 114. To find the area of a piece of ground in the form of a circle. Measure the radius AC: then multiply the square of the radius by 3.1416 (Mens. Prob. A--b X). 1. To find the area of a circular piece of land, of which the diameter is 25 ch. Ans. i$A OR 14P. PROBLEM Till. 115. To find the content of a piece of ground in the form of an ellipsis. r Measure the semi-axes AE, CE. Then multiply them together, and their product by 3.1416. l. To find the area of an elliptical piece of ground, of which the transverse axis is 16.08 ch, and the...show more

Product details

  • Paperback | 46 pages
  • 189 x 246 x 3mm | 100g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 123657379X
  • 9781236573797