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Euclid Revised; Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His First Six Books with Numerous Additional Propositions and Exercises

Euclid Revised; Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His First Six Books with Numerous Additional Propositions and Exercises


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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. 1899 Excerpt: ...the fig. of i. Addenda (20) the sides of A H are each % of a median. 10. Examine what Problems could be solved by takiDg the Loci on pp. 177 178, two and two together. 11. Find two lines, when given any two of the following--(a) their sum: (/3) their difference: (7) the rectangle nnder them: (8) the sum of the squares on them: (f) the difference of the squares on them. Note--The difficult case is when (7) and (c) are taken together: its consideration should be deferred until Book vi has been read. 12. Given two lines, it is required to produce one of them so that the rectangle under the whole line thus produced, and the other given line, may be equal to the square on the produced part. Note--AB line to be produced; BC other line, placed so that ABC is a line. On AC place semi-Q; and let BP, _i_ to ABC, meet it in P. Join P to M, the mid pt. of BC. Produce BC to X, so that MX = MP. Then BX is the reqd. production ofPS. 13. Divide a line; i, internally; 2, externally; so that the rectangle under the segments may be equal to a given area. 14. Produce a given line both ways, so that the rectangles under the segments into which the whole produced line is divided at the extremities of the given line may be equal to given areas. 15. Describe a circle to bisect the circumferences of three given circles. Note--Apply the last Exercise to the joins of the three given centres. 16. To divide a given line into two parts, so that the square on one of them may be equal to the rectangle under the other and another given line. Note--Place the given lines AB, AC so that BAC is one line: on same side of AC, BC place semi-Os: let tang, at A to one, meet the other in P: let join of P with cent, of lesser O meet it in Q: tang: at Q cuts AB in the required pt. 17. To divide a give...


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Product Details
  • ISBN-13: 9781231097328
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 84
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1231097329
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 168 gr


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Euclid Revised; Containing the Essentials of the Elements of Plane Geometry as Given by Euclid in His First Six Books with Numerous Additional Propositions and Exercises
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