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" Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them. "
A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Page 75
by John Bonnycastle - 1806 - 419 pages
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...intercepted between the sides may be equal to a given straight line. PROS. 11. To construct a triangle, when two angles and a side opposite to one of them are given. Let A, B be the given angles, CD the given side opposite to the angle B : it is required to construct...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...intercepted between the sides may be equal to a given straight line. PROB. 11. To construct a triangle, when two angles and a side opposite to one of them are given. Let A, B be the given angles, CD the given side opposite to the angle B : it is required to construct...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth - 1887 - 346 pages
...125 ; Case III., when two sides and an angle opposite to one of them are given, 127 ; Case IV., when two angles and a side opposite to one of them are given, 129 ; Case V., when the three sides are given, 130; Case VI., when the three angles are given, 131...
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Trigonometry, Surveying and Navigation

George Albert Wentworth - Navigation - 1895 - 436 pages
...158 ; Case III., when two sides and an angle opposite to one of them are given, 160 ; Case IV., when two angles and a side opposite to one of them are given, 102; Case V., when the three sides are given, 163; Case VI., when the three angles are given, 164....
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1901 - 176 pages
...158 ; Case III., when two sides and an angle opposite to one of them are given, 100 ; Case IV., when two angles and a side opposite to one of them are given, 162 ; Case V., when the three sides are given, 163 ; Case VI., when the three angles are given, 104....
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...construct a triangle when a side and the two adjacent angles are given. 3. To construct a triangle when two angles and a side opposite to one of them are given. This problem can easily be reduced to (2) by making use of the property of Proposition XXVII, Cor....
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The Practice of Navigation and Nautical Astronomy

Henry Raper - Nautical astronomy - 1908 - 1018 pages
...THE SOLUTION OF OBLIQUE-ANGLED PLANE TRIANGLES. Case I. In any oblique-angled plane triangle, given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them, the remaining angles and sides are found by the following simple proportions : — As one of the given...
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A Treatise on Spherical Astronomy

Robert Stawell Ball - Spherical astronomy - 1908 - 528 pages
...additional information is obtainable, showing whether C is acute or obtuse, the problem is ambiguous. If two angles and a side opposite to one of them are given, then, from formula (3) the side opposite the other angle will be determined, subject as before to an...
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Practical Geometry and Graphics for Advanced Students

Joseph Harrison, George Albert Baxandall - Geometry, Descriptive - 1913 - 714 pages
...angles. II. Two sides and the included angle, or two angles and the adjacent side. III. Two sides and one angle opposite to one of them, or two angles and a side opposite to one. Case I — Let the three given sides be a°, b° , c°. Begin by drawing a development of the trihedral...
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Scientific Schools: France. The Polytechnic school at Paris ..., Part 1

Henry Barnard - 1862 - 160 pages
...the included angle, or two angles and the included side. — Formulas of Delambre : 3° Having given two sides and an angle opposite to one of them, or two angles and a side opposite to one of them. Employment of an auxiliary angle to render the formulas calculable by logarithms. Applications. —...
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