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First Lessons in Observational Geometry

First Lessons in Observational 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. 1903 edition. Excerpt: ...2 square inches. What is the area of AEFD? 25 square inches + 2 square inches--that is, 27 square inches; or, as I prefer to write it, 27'5 square inches. Let us again increase our rectangle. Produce the side AD through D to G, making DG i inch. Produce EF through F to H, making FH equal to J inch. Join FH. What is the size of the strip DFHG? It is a strip inch wide and 5 inches long. Divide the rectangle AEFD into similar strips by ruling dotted lines inch apart. What is the size of each of these strips? How many of them are there? What part is each strip of the area AEFD? Onetwentieth. Tell me that in square inches. One-twentieth of 27'5 square inches. It is T375 square inches. Now tell me the whole area AEHD. It is 25 square inches + 2-5 square inches + 1375 square inches, or 28'875 square inches. Could you have got this result in any other way? Will you do it by multiplication and see if the results agree? 5 X 5 = 28-875. You may now apply the arithmetical method to calculate the area of rectangles having a common perimeter. Take a perimeter of 20 inches. I will write all the rectangles on the board as you give them to me. What is the area of a rectangle with the longest side in whole units of measurement? 9 inches and 1 inch give area of 9 square inches. No; 4 and 6 will be the same as 6 and 4, so you have given me all the rectangles with a perimeter of 20 inches, whose sides contain a whole number of inches. Which is the greatest rectangle that can be formed from a given perimeter? The square. Let us consider parallelograms that are not rectangles. I have here four brass rods--two long ones that are equal in length, and two short ones that are equal in length. (Fig. 49.) They are jointed together so...


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Product Details
  • ISBN-13: 9781230010465
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1230010467
  • Publisher Date: 13 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr


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