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" One side and two angles of a triangle being given, to construct the triangle. Solution. "
An Elementary Treatise on Plane and Solid Geometry - Page 40
by Benjamin Peirce - 1837 - 159 pages
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...angle equal to a given rectilineal angle. (LVI.) The vertical angle, the base, and the aggregate of the three sides of a triangle being given, to construct the triangle. (LVI i.) The perimeter and the three angles of a triangle being given, to construct the triangle. (LVI...
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A Supplement to the Elements of Euclid

Daniel Cresswell - Geometry - 1819 - 410 pages
...problem is impossible. PROP. LXIII. . 76. PROBLEM. The vertical angle, the base, and the aggregate of the three sides of a triangle being given, to construct the triangle. Let DE be the given base : It is required to describe on DE a A, which shall have its two remaining...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 172 pages
...one of the sides of the triangle, is equal to the sum of the two interior and opposite angles. 38. Problem. The three sides of a triangle being given, to construct the triangle. Let the three given sides be the lines A, B,C, (fig. 22). Fig. 22. Draw the line DE equal to the given...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...of the sides of the square being given, to construct the square. 49. The three angles and the sum of the three sides of a triangle being given, to construct the triangle. 50. To describe a circle, which shall pass through two given points, and touch a given straight line....
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 190 pages
...given proportion in which the line AB is divided. PART IV. Construction of triangles. PROBLEM XLII. The three sides of a triangle being given, to construct the triangle. SOLUTION. Let AB, AC, . . _ BC, be the three given sides of the triangle. 1. Take any side, say AB, and from...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Part 1

Francis Joseph Grund - Geometry, Plane - 1834 - 206 pages
...given proportion in which the line AB is divided. PART IV. Construction of triangles. PROBLEM XLII. The three sides of a triangle being given, to construct the triangle. GEOMETRY. AJLB SOLUTION. Let AB, AC, BC, be the three given sides of the triangle. 1. Take any side,...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 96 pages
...LFK=E ; take FI=CD, and FH =AB. Draw HI, and the triangle FIH is the one required. Fig. 60. AB PROP. X. PROBLEM. The three sides of a triangle being given, to construct the triangle. Let AB, CD, EF, be A c E the given sides. Draw HI equal to AB ; from H as a centre, with a radius equal...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...EG, will cut each other in H ; and DEH will be the triangle required (Prop. IX. B. II.) PROBLEM X. The three sides of a triangle being given, to construct the triangle. Let A, B, and C, be the sides. Draw DE equal to the side A ; from the point E as a centre, with a radius...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...Solution. If both the angles adjacent to the given side are not given, the third angle can be found by 140. Then draw AB (fig. 78) equal to the given side,...draw AC and BC, making the angles A and B equal to ihe angles adjacent to the given side, and ABC is the triangle required. 143. Problem. The three sides...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 pages
...EG, will intersect each other in H; and DEH will be the triangle required (B. 1., p. 6). PROBLEM X. The three sides of a triangle being given, to construct the triangle. Let A, B, and C, denote the three given sides. Draw DE, and make it equal to the side A ; from the...
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