| Daniel Cresswell - Euclid's Elements - 1817 - 454 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 - 446 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 - 228 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
...proportion, in which the line AB is divided. GEOMETRY. 235 PART IV. Construction of triangles. PROBLEM XLIV. The three sides of a triangle being given, to construct the triangle. SOLUTION. LetAB, . . „ AC, BC, be the three given sides of the triangle. C 1. Take any side, say... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 212 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,... | |
| Nicholas Tillinghast - Geometry, Plane - 1844 - 108 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 - 894 pages
...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 - 204 pages
...draw AB (fig. 78) equal to the given side, and draw AC and BC, making the angles A and B equal to ihe angles adjacent to the given side, and ABC is the...a triangle being given, to construct the triangle. Solution. Draw AB (fig. 73) equal to one of the given To construct a Parallelogram. To find the Centre... | |
| Charles Davies - Geometry - 1854 - 436 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... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...were less than the perpendicular let fall from the point C oil the straight line AB. PROBLEM XII. 308. The three sides of a triangle being given, to construct the triangle. Draw the straight line AB equal to c one of the given sides ;, from the point A as a centre, with a... | |
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