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" Two triangles are congruent if (a) two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other... "
The Elements of Geometry - Page 24
by Webster Wells - 1894 - 378 pages
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Secondary-school Mathematics, Book 1

Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...A ABC and AFB, b = e a=f Z ACB, orZж + Zw = Z AFB or Z y + Z m. 8. Hence, A ,4GB = A AFB (§ 70). (Two triangles are equal when two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.) 9. But A AFB is...
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The Elements of Plane and Spherical Trigonometry

John Gale Hun, Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent...
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The Elements of Plane and Spherical Trigonometry

John Gale HUN (and MAC INNES (Charles Ranald)), Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...sides of the other. 2) Three angles of one are equal respectively to three angles of the other. 3) Two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 4) A side and the adjacent angles of one are equal respectively to a side and the adjacent...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...equal respectively to two sides and an angle of the other. (6) Prove that two triangles are equal if two sides and the included angle of one are equal respectively to two sides and an included angle of the other. 2. Prove that the bisector of an angle is the loous of points equidistant...
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Solid Geometry

Fletcher Durell - 1911 - 234 pages
...and parallel and the figure is a parallelogram. 1 62. Two parallelograms are equal if two adjacent sides and the included angle of one are equal, respectively, to two adjacent sides and the included angle of the other. 163. Two rectangles which have equal bases and...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 222 pages
...equal respectively to a side and the two adjacent angles of the other. 107. Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other. 110. Homologous parts of equal figures are equal. 111. The base angles of an isosceles...
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Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...quadrilateral are equal and parallel, the figure is a parallelogram. 176. Two parallelograms are congruent if two sides and the included angle of one are equal, respectively, to two sides and the included angle of the other. 213. Radii of the same circle or of equal circles are equal. 233. In the same circle,...
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Proceedings of the Annual Session

Arkansas Education Association - Education - 1912 - 270 pages
...without reading the proof in the text, to apply this method in proving that "Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other," or that "Two triangles are equal if two angles and the included side of one are equal...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...AA'B'C'? Are the triangles congruent? Complete the following statement : Two triangles are congruent if two sides and the included angle of one are equal respectively to • • • . METHODS Inferences as to Isosceles Triangles. Suppose that the class is about to study...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...AA'B'C' ? Are the triangles congruent ? Complete the following statement: Two triangles are congruent if two sides and the included angle of one are equal respectively to . . .. Inferences as to Isosceles Triangles. Suppose that the class is about to study the isosceles...
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