Books Books 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 ## 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... ## 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... ## 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... ## 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.... ## 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... ## 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,... ## 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... ## 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... ## 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... 