| Charles Davies - Surveying - 1830 - 318 pages
...demonstrated in the last four articles, are sufficient to solve all the cases of Plane Trigonometry. In every plane triangle, there are six parts, three sides, and three angles. Of these six parts, at least three must be given, and one of these a side, to enable us to determine... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...bisecting the vertical angle, and the diameter of the circumscribing circle. PLANE TRIGONOMETRY. IN every triangle there are six parts : three sides and three...related to each other, that if a certain number of them be known or given, the remaining ones can be determined. Plane Trigonometry explains the methods of... | |
| Charles Davies - Navigation - 1837 - 342 pages
...circumference, or in the arc : draw AB, BC ; bisect these two lines by the perpendiculars, DE, FG : the point 0 where these perpendiculars meet will be the centre...determined. 40. Plane Trigonometry explains the methods of f1nding, by calculation, the unknown parts of a triangle when a sufficient number of the six parts... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...circle. PROBLEM xxv. PLANE TRIGONOMETRY. In every triangle there are six parts: three siJcs and thtee angles. These parts are so related to each other, that if a certain number of them be known or given, the remaining ones can be determined. Plane Trigonometry explains the methods of... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...: , this line will make with the given line the required angle. PLANE TRIGONOMETRY. DEFINITIONS. 1. In every plane triangle there are six parts: three...angles. These parts are so related to each other, that when one side and any two other parts are given, the remaining ones can be obtained, either by geometrical... | |
| Charles Davies - Geometry - 1886 - 340 pages
...DEF1N1T1ONS AND EXPLANAT1ON OF TABLES. 19. In every plane triangle there are six parts: three s1des and three angles. These parts are so related to each other, that when one side and any two other parts are given, the remaining parts can be obtained, either by geometrical... | |
| Charles Davies - Navigation - 1854 - 446 pages
...a given PLANE TRIGONOMETEY. SECTION III. DEFINITIONS. — APPLICATION TO HEIGHTS AND DISTANCES. 1. In every plane triangle there are six parts : three...angles. These parts are so related to each other, that when one side and any two other parts are given, the remaining ones can be obtained, either by geometrical... | |
| Charles Davies - Geometry - 1854 - 436 pages
...point : this line will make with the given line the required angle. PLANE TRIGONOMETRY. DEFINITIONS. 1. In every plane triangle there are six parts : three...sides and three angles. These parts are so related tc each other, that when one side and any two other parts are given, the remaining ones can be obtained,... | |
| Charles Davies - Geometry - 1855 - 340 pages
...of chords, all of which have been describedPLANE TRIGONOMETRYDEFINITIONS AND EXPLANATION OF TABLES19 In every plane triangle there are six parts : three...angles- These parts are so related to each other, that when one side and any two other parts are given, the remaining parts can be obtained, either by geometrical... | |
| Elias Loomis - Trigonometry - 1855 - 192 pages
...DF : AB, or K, : CA :: tang. C : AB. Also, ' CD : CA :: CF : CB, or K, : CA : : sec. C : CB. (43.) In every plane triangle there are six parts : three sides and three angles. Of these, any three being given, provided one of them is a side, the others may be determined. In a... | |
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