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Elements of Geometry, Containing Books I. to VI. and Portions of Books XI. and XII. of Euclid

Elements of Geometry, Containing Books I. to VI. and Portions of Books XI. and XII. of Euclid


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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. 1879 Excerpt: ...sum of the diameters of the six circles together with the sum of the sides of the original triangle is equal to twice the sum of the three perpendiculars. 1858. i. 28. Assuming as an axiom that two straight lines cannot both be parallel to the same straight line, deduce Euclid's sixth postulate as a corollary of the proposition referred to. XL 7. Produce a given straight line, so that the sum of the squares on the given line and the part produced may be equal to twice the rectangle contained by the whole line thus produced and the produced part, m. 19. Describe a circle, which shall touch a given straight line at a given point and bisect the circumference of a given circle. 1859. I. 41. Trisect a parallelogram by straight lines drawn from one of its angular points. Il 13. Prove that, in any quadrilateral, the squares on the diagonals are together equal to four times the sum of the squares on the straight lines joining the middle points of opposite sides. in. 31. Two equal circles touch each other externally, and through the point of contact chords are drawn, one to each circle, at right angles to each other: prove that the straight line, joining the other extremities of these chords, is equal and parallel to the straight line joining the centres of the circles. IV. 4. Triangles are constructed on the same base with equal vertical angles: prove that the locus of the centres of the escribed circles, each of which touches one of the sides externally and the other side and base produced, is an arc of a circle, the centre of which is on the circumference of the circle circumscribing the triangles. 1860. I. 36. If a straight line DME be drawn through the middle point M of the base BC of a triangle ABC, so as td out off equal parts AD, AE from the sides AB, AC, pr...


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Product Details
  • ISBN-13: 9781152520448
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 72
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 115252044X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 145 gr


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Elements of Geometry, Containing Books I. to VI. and Portions of Books XI. and XII. of Euclid
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