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" If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. "
Junior High School Mathematics ... - Page 6
by Edson Homer Taylor, Fiske Allen - 1923
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...done. PROPOSITION IV. THEOREM. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, the triangles will be identical, or equal in all respects. In the two triangles ABC, DFG, if the angle A is equal...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...(Hyp.), AB ANALYSIS. B is on .E" BAC= EDF C is on FBC=EF &ABC= &DEF ABG=DEF Proposition 8. Theorem.—If two triangles have two angles and the included side of one, equal to two angles and the included side of the other, each to each, the triangles will be equal in all...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...the second. THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...the second THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal respectively to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 63 pages
...homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal,...
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Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem. 64. If two triangles have two angles and the included side of one equal to two angles and the included side of the other, each to each, the other homologous parts are equal,...
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The Colliery Engineer Pocket-book of Principles Rules, Formulę, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 415 pages
...one, equal to two sides and the included angle of the other, they are equal in all their parts. If two triangles have two angles and the included side of one equal to two angles and the included sides of the other, they are equal in all their parts. 6. In any triangle...
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Introductory Modern Geometry of Point, Ray, and Circle

William Benjamin Smith - Geometry, Modern - 1892 - 314 pages
...to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data: Two A ABC, A'£'Cf, having «=«', (3 = f3', AB=A'B'. Proof....
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Introductory Modern Geometry of Point, Ray, and Circle: Part 1, Part 1

William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...to pairs of equal parts. 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). TA ~B\ I* B\ FIG. 28. Data: Two A ABC, A'B'C', having «=«', /?=/3', TH....
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Introductory Modern Geometry of Point, Ray, and Circle

William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...lie opposite to pairs of 48. Theorem XIV. — Two A having two angles and the included side of the one equal respectively to two angles and the included side of the other are congruent (Fig. 28). FIG. 28. Data : Two AB=A'B'. A ABC, A'B'C', having «=«', /3 = /5', Proof....
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