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A Description of the Lines Drawn on Gunter's Scale as Improved

A Description of the Lines Drawn on Gunter's Scale as Improved


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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. 1778 Excerpt: ...the Laws of Compound Motion: Now what this Proportion is, will demonstrably appear in the Diagram, (Plate i. Fig..) wherein we will suppose the Latitude to be 60 Degrees, the Complement whereof is 30 Degrees: Describe the Semi-circle FI P B, as a Meridian; draw the Line F A B to represent the Equator, also quarter it with the Meridian P A; then lay off the Latitude, 60 Degrees, from B to E, whose Compliment is E P, equal to 30 Degrees; draw the chord Line E I, the half of which, E K, is the Sine of the Arc E P, the Compliment of the Latitude; erect the Perpendicular BC, which will be a Tangent to the Semi-circle, and draw the Line A C through E, until it meets the Tangent in C; then will A C be the Secant of the Latitude 60, or the Arc B E; lastly, draw E D Parallel to A P, which will be the Sine of the Arc E B, equal to 60 Deg. the Latitude. Now if we conceive this Semi-circle to be half a Bladder Globe, .and to be dilated by an equal uniform Flatus, the Point E (as the Extremity of the Radius A E) in Lat. 6o, will be affected (as it were) by a compound Force, the one urging i towards the North to M, the other at the fame Time urging it towards N, but being acted upon by both Forces united, one at right Angles to the other, the Point E is obliged to take its Course in the Diagonal of the Parallelogram EM CN, and will impinge the Cylinder in C. Now this Diagonal E C being created by the Motion of the Point E, from the Extremity of the Radius A E, forms the whole continued Line AC, which Ls... G i- is evidently the natural Secant of the Arc E B, or the Latitude: The Radius then (under this regular Flatus, or Distension) is encreascd to a Secant, and determines the proper Length of a Degree of Latitude in the Parallel of 6o in Proportion to the Radius, wh..


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Product Details
  • ISBN-13: 9781130846317
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 30
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130846318
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 73 gr


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