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An Elementary Course of Mathematics

An Elementary Course of Mathematics


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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. 1847. Excerpt: ... planes as those usually employed in projections, we have hitherto made no hypothesis with respect to the inclination of the planes of projection. To render the constructions more simple, we shall now take these planes perpendicular to each other. The established custom is to consider one of the planes horizontal, although it may have any position whatever, and the other as vertical. 31. The intersection of the two planes is called the Line of Level. 32. The projections of any points, lines, or figures in space, on the horizontal plane, is called the Plan; and their projections on the vertical plane, the Elevation of these points, lines or figures. 33. A line or a plane is said to be horizontal or vertical according as it is parallel or perpendicular to the horizon. 34. Projections and traces are called horizontal or vertical according as they are in the horizontal or vertical plane. 35. Several consequences arise from the planes of projection being perpendicular to each other. 1. If a point or a line be in one of the two planes, its projection upon the other plane will be in the line of level. For the perpendiculars which determine this projection are wholly in the first plane (Prop. 33). 2. If a line be in a plane parallel to one of the two planes, its projection upon the other plane will be a straight line parallel to the line of level. For example, let a line be in a horizontal plane; then the perpendiculars which determine its vertical projection will be wholly in this horizontal plane (Prop. 33); and its vertical projection will be the intersection of this plane with the vertical plane, which is a straight line parallel to the line of level (Prop. 27). 3. If a plane be perpendicular to one of the planes of projection, its trace upon the other plane w...


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Product Details
  • ISBN-13: 9781150060076
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 64
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1150060077
  • Publisher Date: 01 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 132 gr

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