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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, 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...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 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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Elements of Geometry and Trigonometry: With Applications in Mensuration

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...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

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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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 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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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...: DF : AB, or R : CA : : tang. C : AB. Also, CD : CA : : CF : CB, or R : 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1863 - 464 pages
...20 PLANE TEIGONOMETBT is that branch of Mathematics which treats of the solution of plane triangles. In every plane triangle there are six parts : three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation....
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Elements of Plane Trigonometry: And Their Application to the Measurement of ...

William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...9.846321, to find the degrees, &c. corresponding. CHAPTER V. PLANE TRIGONOMETRY. — (Continued.) 32. In every plane triangle there are six parts, — three sides and three angles. Of these, any three being given, provided one is a side, the others can be found. RIGHT-ANGLED TRIANGLES....
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...TRIGONOMETRYDEFINITIONS AND EXPLANATION OF TABLES19 In every plane triangle there are six parts : three side* 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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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...chords, all of which have been described. PLANE TRIGONOMETRY. DEFINITIONS AND EXPLANATION OP TABLES. 19. 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...
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