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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 when one side and any two other parts are given, the remaining ones can be obtained, either by geometrical construction or by trigonometrical... "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 159
by Charles Davies - 1870 - 319 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...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...
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...and also for describing a circumference, about a given triangle. CHAPTER III. Plane Trigonometry. 39. In every plane triangle there are six parts : 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. 40. Plane Trigonometry...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...and also for describing a circumference, about a given triangle. CHAPTER III. Plane Trigonometry. 39. In every plane triangle there are six parts : 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. 40. Plane Trigonometry...
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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 other, that if a certain number of them are known or given, the remaining ones can be determined. 40. Plane Trigonometry...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1841 - 414 pages
...and also for describing a circumference, about a given triangle. CHAPTER III. Plane Trigonometry. 39. In every plane triangle there are six parts : 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. 40. Plane Trigonometry...
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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...side and any two other parts are given, the remaining ones can be obtained, either by geometrical construction or by trigonometrical computation. 2. Plane...
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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...side and any two other parts are given, the remaining ones can be obtained, either by geometrical construction or by trigonometrical computation. 2. Plane...
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

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...side and any two other parts are given, the remaining ones can be obtained, either by geometrical construction or by trigonometrical computation. 2. Plane...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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,...
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