| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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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