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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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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the...
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Popular Educator, Volume 11

Education - 1893
...Time, 8 koiri. 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 ancle of the other, the two triangles are equal in...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...symmetrical is henceforth devoted entirely to such. THEOREM V. 688. Two spherical triangles having two sides and the included angle of one equal respectively to two sides and the included angle of the other, are either congruent or symmetrical. (1) If the parts given equal are arranged in the...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 80 pages
...a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. If 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 other homologous parts are also...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...a triangle is greater than the third, and the difference is less. Proposition XXVI. A Theorem. 63. If 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 other homologous parts are also...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...area A'B'C'. QED Proposition 9. Theorem.* 709. Two triangles on the same, or on 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 equivalent. Hyp. Let ABC, DEF be two As having the side AB = DE,...
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Biennial Report of the State Superintendent of Public Instruction ..., Volume 14

Education - 1896 - 446 pages
...from the same point to a given line, the perpendicular is shorter than any oblique line. 3. Prove: 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 equal in all respects. 4. Prove: The diagonals...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 428 pages
...II.— TRIANGLES. SYNOPSIS.* SECTION I.— EQUAL TRIANGLES. 1O.>. i. DEFINITIONS. 2. PROPOSITIONS. PROP. I. If two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each, they are equal in all...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - Geometry, Solid - 1893 - 152 pages
...joining the two points. QED PROPOSITION IX. THEOREM. / 275. Two triangles on 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 equivalent. Proof. By superposing one Sph. A upon the other, or upon...
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A Treatise on Spherical Trigonometry: With Applications to ..., Volume 1

William John McClelland, Thomas Preston - Spherical trigonometry - 1893 - 402 pages
...equal lunes. Two such triangles are represented in fig. 7, and are said to be symmetrically equal. (3). If two triangles have two sides, and the included angle of one respectively equal to the two sides and the included angle of the other, the triangles are equal in...
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