Some Propositions in Geometry; In Five Parts - Bookswagon UAE
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Some Propositions in Geometry; In Five Parts

Some Propositions in Geometry; In Five Parts


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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. 1884 Excerpt: ...original radius be then produced through the vertex of the angle and be duplicated in length, and with the duplicated radius a second arc be described having the same original point (def. 16) as the first arc, and terminated by a radius drawn through the terminal point of the first, the second arc represents the half of the first arc radially duplicated in magnitude; and therefore the chord of the second arc bisects the first arc, and includes the chord of the half of the first arc. Fig. 1.--Let M A F be a given angle and FM the arc subtending the angle, described with radius A F. Produce the arm A F through the vortex A, making B F equal to twice A F, and with centre B and radius BF describe the second arc FN terminated by the radius B N drawn through the terminal point M of the first arc. The chord FN of the second arc bisects the first arc in the point m; the half of the chord FN is the chord of the half-arc Fm, and the second arc FN represents the half-arc Fm radially duplicated in magnitude. Join Am. (2.) If with the chord of the outer half of the first primary arc as a radius, and the point of bisection of that arc as a centre, a transverse arc be described connecting the terminal point of the first with the terminal point of the second primary arc, that transverse arc will evidently be a similar arc (def. 15) to the second arc, and therefore also similar to the half of the first arc. Join mM the chord of the outer half of the arc FM; and with centre m and radius m M, describe the transverse arc MN connecting the terminal extremities of the arcs F M and FN. Bisect the transverse arc M N in the point x. Because the chord N M of the transverse arc NM is parallel to the primary radius Am, the radius mx of the arc N M, which bisects the chord NM thereof, ...


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Product Details
  • ISBN-13: 9781130290387
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 58
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1130290387
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 122 gr


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