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Technical Arithmetic and Geometry; For Use in Technical Institutes, Modern Schools, and Workshops

Technical Arithmetic and Geometry; For Use in Technical Institutes, Modern Schools, and Workshops


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About the Book

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. 1903 Excerpt: ...AKB', cut off from the given figure, is compensated for by the piece, KBC, which is put on. Therefore the figures B'CDEFGH and ABCDEFGH are equal. Next, cutting off the angle HGF in the manner explained for Figs. 122 and 123, we obtain the figure B'CDEFG', and treating the re-entrant angle G'FE the same as the angle ABC, by D C1 A B1 F1 H G11 Fig. 124. joining EG' and through F drawing FF' parallel to EG', and joining EF', we have the figure B'CDEF' equal to B'CDEFG'. The figure is now five-sided, similar to Fig. 122, and by the construction given for that figure can be reduced to a triangle C'DE', which will be equal in area to the figure ABCDEFGH. With practice, students will find that they can readily and easily work these problems by drawing only small portions of, and in some cases none of, the parallel lines, as shown for a portion of the construction of Fig. 124. 86. Equal Area Rectangles, Squares, and Irregular Figures.--We have now seen how to construct triangles equal in area to irregular figures of straight-line boundary, rectangles equal to triangles, and squares equal to rectangles. We consequently know how to construct rectangles and squares equal in area to irregular figures of any number of sides. CHAPTER XIII ELLIPSE, PARABOLA, AND IRREGULAR CURVILINEAL FIGURES The ellipse, parabola, and hyperbola are called 'conic sections, ' because they can be obtained by cutting cones in various directions, and we treat of the first two curves on account of their uses for mensuration and other purposes. For definition of cones see p. 171. Definitions. Ellipse.---The section of a right cone or cylinder, or of an oblique cone or cylinder, formed by a plane which cuts all the generating lines of either solid, but is not parallel to the base of the solid, is...


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Product Details
  • ISBN-13: 9781236202758
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 80
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1236202759
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 159 gr


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