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" In every plane triangle there are six parts : three sides and three angles. These parts are so related to each other, that if a certain number of them are known or given, the remaining ones can be determined. "
Elements of Surveying: Including a Description of the Instruments and the ... - Page 32
by Charles Davies - 1837 - 249 pages
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Elements of Surveying: With the Necessary Tables

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...circumference, or in the arc : draw AB, BC ; bisect these two lines by the perpendiculars, DE, FG : the point O where these perpendiculars meet will be the centre...determined. 40. Plane Trigonometry explains the methods of finding, by calculation, the unknown parts of a triangle when a sufficient number of the six parts...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...triangle. CHAPTER III. Plane Trigonometry. 39. In every plane triangle there are six parts : three sidea and three angles. These parts are so related to each...determined. 40. Plane Trigonometry explains the methods of finding, by calculation, the unknown parts of a triangle when a sufficient number of the six parts...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1841 - 414 pages
...circumference, or in the arc : draw AB, BC ; bisect these two lines by the perpendiculars, DE, FG : the point O where these perpendiculars meet will be the centre...determined. 40. Plane Trigonometry explains the methods of finding, by calculation, the unknown parts of a triangle when a sufficient number of the six parts...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1846 - 386 pages
...these arcs intersect each other, draw FG, EG; DEGF will be the parallelogram required. PROBLEM XII. To find the centre of a given circle or arc. 38. Take...determined. 40. Plane Trigonometry explains the methods of finding, by calculation, the unknown parts of a triangle when a sufficient number of the six parts...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

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...
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Elements of Geometry and Trigonometry

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...
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Elements of Surveying and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1852 - 412 pages
...[BOOK I. PLANE TRIGONOMETRY. 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...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

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...
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