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" If two sides and the included angle of one are equal respectively to two sides and the included angle of the other 2. If two angles and the included side are equal respectively to two angles and the included side of the other. "
Proceedings of the High School Conference of November 1910-November 1931 - Page 256
1918
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Harvard Examination Papers

1873 - 192 pages
...an angle ? Why ? 2. To inscribe a circle in a given triangle. 3. Prove that two triangles are equal if the three sides of one are equal respectively to the three sides of the other. 4. Define Similar Polygons. 6. Prove that every equilateral polygon inscribed in...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1885 - 389 pages
...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
...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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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 264 pages
...perimeter, but greater than half the perimeter. PROPOSITION XXXIII. THEOREM. 160. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. B JB' In the triangles ABC and A'B'C', let AB = A'B', AC^A'ff, BC= B'C'. To prove...
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Introductory Modern Geometry of Point, Ray, and Circle

William Benjamin Smith - Geometry, Modern - 1892 - 170 pages
...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 - 1892 - 314 pages
...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

William Benjamin Smith - Geometry, Modern - 1893 - 330 pages
...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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Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 524 pages
...Two triangles on the same sphere, or equal spheres, having two angles and the included side of one equal respectively to two angles and the included side of the other, are equal or symmetrical. Suo. See figure and suggestions of Prop. XXL Therefore PROPOSITION XXIII....
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...problem, corollary. 2. Under what conditions are two triangles equal ? Prove that two triangles are equal if the three sides of one are equal respectively to the three sides of the other. For those offering two books of Euclid. 3. The opposite sides and angles of a parallelogram...
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Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 pages
...vertices is less than the perimeter, but greater than half the perimeter. 2. Two triangles are equal if the three sides of one are equal respectively to the three sides of the other. 3. Construct through a point, P, exterior to a circle, a secant PAB so that AlF^PA...
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