# A treatise on the analytic geometry of three dimensions by George Salmon

By George Salmon

Quantity: 2 writer: London Longmans, eco-friendly topics: Geometry, Analytic -- stable Surfaces Notes: this is often an OCR reprint. there is typos or lacking textual content. There aren't any illustrations or indexes. should you purchase the overall Books version of this ebook you get unfastened trial entry to Million-Books.com the place you could choose between greater than one million books at no cost. you may as well preview the publication there.

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**Additional info for A treatise on the analytic geometry of three dimensions**

**Sample text**

In Table 3, the angles in radians are listed in the left-hand column only, and the function is read from the top of the page. 3 Tables of Values for Trigonometric Functions In this chapter, Table 1 or Table 2 will be used to find values of trigonometric functions whenever a manual solution is used. If the angle contains a number of degrees only or a number of degrees and a multiple of 10Ј, the value of the function is read directly from the table. 1 Find sin 24Њ40Ј. 4173 in the column labeled sin A at the top.

19 CHAPTER 2 Trigonometric Functions of a General Angle cos ϭ x/r. Since x is positive in quadrants I and IV and negative in quadrants II and III, cos is positive in quadrants I and IV and negative in quadrants II and III. tan ϭ y/x. Since x and y have the same signs in quadrants I and III and opposite signs in quadrants II and IV, tan is positive in quadrants I and III and negative in quadrants II and IV. 8 Determine the values of the trigonometric functions of angle u (smallest positive angle in standard position) if P is a point on the terminal side of u and the coordinates of P are (a) P(3, 4), (c) P(Ϫ1, Ϫ3) (b) P(Ϫ3, 4), (a) r ϭ 232 ϩ 42 ϭ 5 (b) r ϭ 2(Ϫ3)2 ϩ 42 ϭ 5 [See Fig.

The following results are obtained in Probs. 9. For each fraction that had an irrational number denominator, only the equivalent fraction with a rational number denominator is stated in the table. 4 Trigonometric Function Values For many application problems, values of trigonometric functions are needed for angles that are not special angles. These values may be found in tables of trigonometric functions or by using a scientific calculator. 15 illustrate a number of simple applications of trigonometric functions.