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Plane and Sperical Trigonometry (with Five-Place Tables); A Text-Book for Technical Schools and Colleges

Plane and Sperical Trigonometry (with Five-Place Tables); A Text-Book for Technical Schools and Colleges


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About the Book

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1913 edition. Excerpt: ...of the radius, --in other words, that this ratio is constant so long as the angle is constant--and from (2) that this ratio varies as the angle, and may therefore be used as the measure of the angle. This ratio is known as the circular measure of the angle. The circular measure of an angle is the ratio of the length of its intercepted arc, in a circle whose center is at the vertex of the angle, to the radius of the circle. The unit of circular measure or natural unit is obtained by making a equal to r, that is, by taking the angle such that the intercepted arc equals the radius. This unit is called a radian. A radian is an angle which, when placed with its vertex at the center of a circle, intercepts an arc equal in length to the, . B radius of the circle. /' Thus, if the arc AB (Fig. 123) is equal in length / /&r to the radius OA, the angle AOB measures one 0 radius radian. / One peculiarity of the circular system is that it Fig 12" has no subsidiary or derived units; that is, no 'K' V other units which are multiples or sub-multiples of a radian. All angles large or small are expressed in terms of this single unit, the radian. 89. Comparison of Sexagesimal and Circular Measure. To find the relation between the two kinds of units, degrees and radians, it is best to compare the two measures for the entire angular space about a point, that is, of four right angles. Expressed in circular measure, the measure of this angular space is equal to the circumference of a circle divided by the radius. Now the circumference of a circle is equal to the diameter, or twice the radius, multiplied by 3.14159 +. Denoting this number by the Greek letter ir we have for the circular measure of four right angles circumference _ radius Measured in...


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Product Details
  • ISBN-13: 9781230139784
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 88
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1230139788
  • Publisher Date: 13 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 172 gr

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Plane and Sperical Trigonometry (with Five-Place Tables); A Text-Book for Technical Schools and Colleges
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