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" If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other... "
Elements of Geometry, Theoretical and Practical: Containing a Full ... - Page 256
by George Clinton Whitlock - 1848 - 324 pages
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...GEOMETRY. EQUALITY OF TRIANGLES. THEOREM XXIV. 83. Two triangles are equal in all their parts if tivo sides and the included angle of the one are respectively equal to two sides and the included angle of the other. In the As ABC and DEF, let AB =DE, AC = DF, and Z. a...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...intersect each other, the opposite (or vertical) angles are equal. PROPOSITION VI. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. PROPOSITION VII. Two triangles are equal when a side...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...intersect each other, the opposite (or vertical) angles are equal. PROPOSITION VI. Two triangles are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. PROPOSITION VII. Two triangles are equal when a side...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 390 pages
...vertices they pass is equilateral. PROPOSITION XXXIX. THEOREM. 143. Two parallelograms are equal if two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. A' Given: In parallelograms AC and A'C', AB equal to...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...equivalent. 749. Two triangles on the same sphere, or equal spheres, are equal or equivalent, if two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. 750. Two triangles on the same sphere, or equal spheres,...
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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...ABCD is a parallelogram. Therefore, etc. PROPOSITION XXXIV. — THEOREM. Two parallelograms are equal when two sides and the included angle of the one are respectively equal to two sides and the included angle of the other. Given.— Let ABCD and j> _c B o EFGH be two parallelograms...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal...
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Plane and Solid Geometry

Arthur Schultze - 1901 - 392 pages
...side of the one are respectively equal to two angles and the included side of the other, (2) If two sides and the included angle of the one are respectively equal to two sides and the included angle of the other, (3) If three sides of the one are respectively equal...
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Arithmetic, Book 3

Jacob William Albert Young - Arithmetic - 1905 - 266 pages
...picture. Cut them out. Can they be made to coincide? 9. If the two sides and included angle of a triangle are respectively equal to the two sides and the included angle of another triangle, how do they compare in size and shape? 10. To measure the length, AB, a surveyor...
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