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Plane and Solid Geometry; Teacher's Edition

Plane and Solid Geometry; Teacher's Edition


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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. 1912 Excerpt: ...sq. ft.. = 3.1416 x 3100 sq. ft. = 9738.96 sq. ft. 4. The span (chord) of a bridge in the form of a circular arc is 120 ft., and the highest point of the arch is 15 ft. above the piers. Find the radius of the arc. Here AB = 120 ft. and CD = 15 ft. Now.-. 2 OC x CD = 3825. That is, 2rxl5 = 3825. 2 r = 255..-. r = 127.5. 127.5 ft. Ana, 5. Tiro branch water pipes lead into a main pipe. It is necessary that the cross section area of the main pipe shall equal the sum of the cross sections of the two branch pipes. The diameters of the branch pipes are respectively 3 in. and 4 in. Required the diameter of the main pipe. Area of cross section of one pipe = ir x ( )2, and area of cross section of other pipe = Tt x (J)2. 389 Again, area of cross section of main pipe = irr2 = iird2..-. J-ii = -x(l) + xx(i)s =x+ = Y-.-. d2=/25..-. d = 5. 5 in. Ans. 6. A kite is made as here shown, the semicircle having a radius of 9 in. and the triangle a height of 25 in. Find the area of the kite. Area of whole circle = ar2. 389 Area of semicircle = i irr2 = ix 3.1416 x 92 sq. in. = Ix 3.1416 x 81 sq. in. = 127.2348 sq. in. Area of triangle = ab 325 = A of 25 x 18 sq. in. = 225 sq. in..-. area kite = 127.23 sq. in. + 225 sq. in. = 352.23 sq. in. 7. In making a drawing for an arch it is required to mark off on a circle drawn with a radius of 5 in. an arc that shall f 8 in. long. This is best done by finding the angle at the center. How many degrees are there in this angle f c--2m 385 = 2 x 3.1416 x 5 in. = 31.416 in. 31.416: 8 = 360: Z required. 212.-. Z required = 8 x 36 = 91.67. Exercise 71. Page 257 1. Write a classification of the different kinds of lines. A straight line is a line such that if any part is placed with its ends ...


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Product Details
  • ISBN-13: 9781156635070
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 102
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1156635071
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 195 gr


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