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The Elements of Geometrical Drawing; An Elementary Text-Book on Practical Plane Geometry, Including an Introduction to Solid Geometry: Written to Incl

The Elements of Geometrical Drawing; An Elementary Text-Book on Practical Plane Geometry, Including an Introduction to Solid Geometry: Written to Incl


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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. 1901 Excerpt: ... the required tangent. Problem 161.--To draw a Perpendicular (or Normal) axis. Thus (Fig. 252) FD + F, D = AB. This is important, and should not be forgotten. 'It will be noticed that lines EF and GH are double ordinates of the diameter IJ, as the line joining OD and OC are ordinates of the axis AB. to a given Ellipse at a Fixed Point in the Curve' (.Fig. 258). First find the major axis AB (Prob. 159) and the foci E and F2, as in Prob. 155. Then join the given point P to F and F2. Produce F2P to G, and FP to H. Bisect the angle GPH by PK, which is the required perpendicular. Problem 162.--To draw an Ellipse, when two Conjugate Diameters other than the Major and Minor Axes are given, intersecting each other at their Centres. First Method.--Let AB and CD be the given conjugate axes. Then through AB and CD draw the parallelogram EFHG with sides parallel to the given axes. Then the points a, 6, c, d, e in the quadrant AD of the figure may be found in the same way as in Prob. 158, and the explanation given equally applies to this figure. Second Method.--As in the previous case, let AB and CD be Fin. 260. 'This is a problem that sometimes occurs in connection with an elliptical arch, when the intrados and extrados are parallel. When all the normals to an ellipse are intersected by a curve at equal distances, the curve is said to be parallel to the ellipse. This curve will not, as the student might suppose, be an ellipse, although in most cases it will much resemble one; it will have in every case a different character. A circle parallel to a circle is a concentric circle; with this exception, all parallel curves are different in character. the given conjugate diameter, and EFGH the circumscribing parallelogram. Join A and D, and mark on AD any points such as a and..


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Product Details
  • ISBN-13: 9781130204315
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 96
  • Spine Width: 5 mm
  • Weight: 186 gr
  • ISBN-10: 1130204316
  • Publisher Date: 06 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Written to Incl
  • Width: 189 mm


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