| 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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