Plane and spherical trigonometry and mensuration - Softcover

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. 1875 Excerpt: ...0 to 90, cos 6 is positive, and diminishes from 1 to 0;.. cos h is positive, and diminishes from cos p to 0;.. h increases from p to 90. As b increases from 90 to 180, cos b is negative, and increases numerically from 0 to--1;.. cos h is negative, and increases numerically from 0 to--cos p;... h increases from 90 to 180--p, and the triangle becomes the lune HH'. As b increases from 180 to 270, cos 6 is negative, and decreases numerically from--1 to 0;.. cos h is negative, and decreases numerically from--cos p to 0;.-. h decreases from 180--p to 90. As b increases from 270 to 360, cos b is positive, and increases from 0 to 1;.. cos h is positive, and increases from 0 to cos p;.. h decreases from 90 to p, and the triangle becomes the hemisphere. If 6 = 0, cos 6 = 1; therefore, cos A = cos p;.. h = p. As 6 increases from 0 to 90, cos 6 is positive, and decreases from 1 to 0;.. cos h is negative, and decreases numerically from cos p to 0;.. h decreases from p to 90. As b increases from 90 to 180, cos 6 is negative, and increases numerically from 0 to--1;... cos h is positive, and increases from 0 to--cos /;;.. h decreases from 90' to 180--p, and the triangle becomes the lime HH'. As 6 increases from 180' to 270, cos/) is negative, and decreases numerically from.--1 to 0;.. cos h is positive, and decreases from--cos p to 0;.. h increases from 180'--p to 90. As 6 increases from 270 to 360, cos 6 is positive, and increases from 0 to 1;... cos h is negative, and increases numerically from 0 to cos p;... h increases from 90 to p, and the triangle becomes the hemisphere. 3. p = 90;.. cos p = 0... cos h = cos 6 cos p = 0;.. h = 90. Cor.--Since B and 6 are of the same species, B may be substituted for 6 in the preceding proposition. In the application of these principl...