 | Jeremiah Day - Geometry - 1824 - 440 pages
...remaining side, and An opposite angle, \ One of the required angles is found, by beginning with a -Tide, and, according to theorem I, stating the proportion....formed, each of which will satisfy the conditions ofthe problem. Let the side /i, (Fig. 28.) the angle A, and the length of the side opposite this angle... | |
 | Jeremiah Day - Mathematics - 1853 - 288 pages
...sine of that angle. The third angle is found, by subtracting the sum of the other two from 1811°; and the remaining side is found, by the proportion...second case, if the side opposite to the given angle he shorter than the other given side the solution will be ambiguous. Two different triangles may be... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...opposite the given angle : the sine of that angle :: the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side BC, opposite the given an- c gle A, is shorter than the... | |
 | 1855 - 424 pages
...the yiccn anyle : the sine of tJuit angle : : the othtr given side : the sine of the opposite unyie. The third angle is found by subtracting the sum of the other two from 180°, and the third side is found as in Case 1. If the side в с, opposite the given angle A, is shorter than the... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...opposite the given angle : the sine of that angle : : the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side EC, opposite the given an- c gle A, is shorter than the... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...opposite the given angle : the sine of that angle : : the other given side : the sine of the opposite angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. If the side BC, opposite the given an- „ gle A, is shorter than... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...angles of another triangle, then the third angles must also be equal. For the third angle in each case is found by subtracting the sum of the other two from 180° ; and the sum of the other two in each case is the same (Ax. 2) ; and if equals be taken from equals, the remainders... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...angles of another triangle, then the third angles must also be equal." For the third angle in each ease is found by subtracting the sum of the other two from 180° ; and the sum of the other two in each case is the same (Ax. 2) ; and if equals be taken from equals, the remainders... | |
 | William Kent - Engineering - 1907 - 1206 pages
...the side opposite the required angle as the sine of the given angle is to the sine of the required angle. The third angle is found by subtracting the sum of the other two from 180", and the third side is found as in Case I. CASK m. Given two sides and the included angle, to find the third... | |
 | William Kent - Engineering - 1902 - 1224 pages
...the side opposite the required angle as the sine of the given angle is to the Bine of the required angle. The third angle is found by subtracting the sum of the other two from 180», and the third side is found as in Case I. CASE III Given two sides and the included angle, to find the third... | |
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... angle. The third angle is found by subtracting the sum of the other two from 180° ; and the third side is found as in Case I. 