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" If two triangles have two sides and the included angle of one equal respectively to two sides and the included angle of the other, the triangles are equal. "
Junior High School Mathematics ... - Page 7
by Edson Homer Taylor, Fiske Allen - 1923
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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 520 pages
...opposite it in the other. PROPOSITION XXI. Two triangles, on the same sphere, or equal spheres, having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either equal or symmetrical. PROPOSITION XXII. Two triangles, on the same sphere,...
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The Elements of Geometry

Webster Wells - Geometry - 1894 - 390 pages
...627.) PROPOSITION XVII. THEOREM. 629. If two spherical triangles on the same sphere, or equal spheres, have two sides and the included angle of one equal respectively to two sides and the included anjle of the other, I. They are equal if tlte equal parts occur in the same order. II. They are symmetrical...
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Regents Examination Papers

University of the State of New York. Examination Department - Examinations - 1894 - 412 pages
...receive 10 credits. 1 Define right angle, rhomboid, plane figure, sector, similar polygons. 2 Prove that if two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the two triangles are equal in...
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...which use is intended. 81. The median line, or median of a triangle, ^ PROPOSITION VII. 82. Theorem. // two triangles have two sides and the included angle of one, equal to two sides and the included angle of the other, each to each, the triangles are equal in all respects....
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Elements of Geometry

George Cunningham Edwards - Geometry - 1895 - 324 pages
...like relation to the equal angles. Corresponding sides are often called homologous sides. 24. THEOREM. If two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, they are congruent. The student will supply the necessary...
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Concrete Geometry for Beginners

Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...figure are called Homologous Angles, and the corresponding sides Homologous Sides. PRINCIPLE 24. — If two triangles have two sides and the included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...angles are unequal, and the greater angle is opposite the greater side.] PROPOSITION XXII. THEOREM 70. If two triangles have two sides and the included angle...the included angle of the other, the triangles are equal. GIVEN—AB, AC, and a, of the triangle ABC respectively equal to A'B', A'C, and a', of the triangle...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...contradict the hypothesis that angle >angle c. Therefore AB<BC. QED PROPOSITION XXII. THEOREM 70. If two triangles have two sides and the included angle...the included angle of the other, the triangles are equal. C' GIVEN — AB, AC, and a, of the triangle ABC respectively equal to A'B', A'C, and a', of...
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Plane Geometry

George D. Pettee - Geometry, Plane - 1896 - 268 pages
...base, or to the base produced. TRIANGLES PROPOSITION XI 25 76. Theorem. Two triangles are equal if they have two sides and the included angle of one equal respectively to two sides and the included angle of the other. Appl. Cons. Dem. Prove A = Place AC upon 13 [=byhyp.] AB falls upon 12 [X=JT'] B " "2...
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Elementary Solid Geometry and Mensuration

Henry Dallas Thompson - Geometry, Solid - 1896 - 224 pages
...on a fixed great circle. 26. If two spherical triangles have two sides and the included angle of the one equal respectively to two sides and the included angle of the other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the...
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