An Elementary Course of Practical Mathematics - Bookswagon
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An Elementary Course of Practical Mathematics

An Elementary Course of Practical 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. 1851 Excerpt: ...at the base? Ans. 67 15'--. 4. The hypothenuse being 5-235, and the perpendicular 4-455, the vertical angle is required. Ans. 31 41'--. 5. Hypothenuse, -034; base, -028: the angles are wanted. Answers: 34 34'-, and 55 26' ]. 6. Hypothenuse, 16,386; perpendicular, 9,569: find the angles. Answers: 54 17'-, and 35 43 +. Problem VI. In a right-angled Triangle, having given the Legs, to find the acute Angles. Eule. As either leg is to the other leg, so is radius to the tangent of the angle opposite the latter. T-. ( h: p:: radius: Formulae. J... (p: o:: radius: (See the diagram on the preceding page.) Example. The base is 3, and the perpendicular 4: what are the angles? We may either say, As 3: 4:: radius: tan P, or As 4: 3:: radius: tan B. We take the former. As 3 0-477121 Is to 4 0-602060 So is radius 10-000000 To tan 53 8' 10-124939. Ans. Z P = 53 8'.-. Z B = 36 52'. Exercise 1. The two legs are 31-50 and 5456: the angles are required. Ans. 30 and 60, nearly. 2. The base is 6-94, and the perpendicular the same: what are the angles? Ans. Each 45. 3. The perpendicular is 4,984, and the base, 3,272: what is the vertical angle? Ans. 33 17' +. 4. The perpendicular is 9 ft. 5 in., and the base 6 ft. 7 in.: what is the acute angle at the base. Ans. 55, nearly. 5. Given, the legs-07859 and-06990: required the angles. Ans. 41 39' + and 48 21'-. 6. The legs are 20,671 and 9,473-8: the angles are wanted. Ans. 24 37' + and 65 23'-. GENERAL NOTE. If it be asked how the preceding rules are to be kept in memory without reference to the book, observe the following direction: --Suppose a circle to be described with a given side (whether leg or hypothenuse) as radius. Then observe what the other given or required side becomes with reference to the circle just described, --tha


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Product Details
  • ISBN-13: 9781130078961
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1130078965
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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