 | George Albert Wentworth - Geometry - 1877 - 416 pages
...angles are together equal to, or greater than, two right angles. PROPOSITION XXXIII. PROBLEM. 232. The three sides of a triangle being given, to construct the triangle. \C ; , — A. • т> I) U Let the three sides be m, n, and o. It is required to construct а Д having... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...side AB is equal to the given side, and two of its angles are equal to the given angles. PROBI.EM x. The three sides of a triangle being given, to construct the triangle. Draw the straight line BC equal to one of the given sides. From the point B as a centre, with a radius... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...-f- B = or > 2R, the problem is not possible ; for the lines AD and BE will not meet (I, 17). XXIX. Problem. The three sides of a triangle being given to construct the triangle. a Let a, 6, and c be the three given 6 sides of the required triangle. SOLUTION. Draw BC = «. From... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...angles are together equal to, or greater than, two right angles. PROPOSITION XXXIII. PROBLEM. 232. The three sides of a triangle being given, to construct the triangle. C m Let the three sides be m, n, and o. It is required to construct a Д having three sides respectively,... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...? 2. If one were obtuse and the other acute, but their sum equal to two right angles? PROBLEM XII. The three sides of a triangle being given, to construct the triangle. Let a, b, and c be the given sides. Draw AB = c / from A as a centre, with a radius equal to b, describe... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...intersect on that side of AB on which the angles have been constructed. PROPOSITION XXVII.—PROBLEM. 69. The three sides of a triangle being given, to construct the triangle. Let a, 6, and c be the three given sides. 6— Draw BC = a; with C as a centre and a radius equal to... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...chord are equal to the segments of the other, each to each. PROBLEMS. PROPOSITION XXXII. PROBLEM. 282. The three sides of a triangle being given, to construct the triangle. \m Lot the three sides be m, n, and o. To construct the triangle. Construction. Draw AB equal to '... | |
 | William Chauvenet - 1893 - 340 pages
...intersect on that side of AB on which the angles have been constructed. PROPOSITION XXVII.—PROBLEM. 69. The three sides of a triangle being given, to construct the triangle. Let a, b, and c be the three given sides. t Draw BC = a; with C as a centre and a radius equal to b... | |
 | George Albert Wentworth - Geometry - 1895 - 468 pages
...the segments of one chord are equal to the segments of the other, each to each. PROPOSITION XXXII. PROBLEM. The three sides of a triangle being given, to construct the triangle. \m Let the three sides be m, ?t, and o. To construct the triangle. Construction. Draw AB equal to o.... | |
 | Albany (N.Y.). Board of Public Instruction - Education - 1895 - 624 pages
...equal arcs. 19-21. Prove that an inscribed angle is measured by one-half of the intercepted arc. 22-23. The three sides of a triangle being given, to construct the triangle. 24-25. To bisect a right angle. 26-27. To trisect a right angle. 28-30. Prove that the sum of the interior... | |
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One side and two angles of a triangle being given, to construct the triangle. Solution. 
