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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. "
Elements of Plane Geometry - Seite 15
von Alan Sanders - 1901 - 247 Seiten
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The Quarterly journal of education and scholastic advertiser

1872 - 398 Seiten
...isosceles. 1. When two triangles have two sides and included angle of one respectively equal to two sides and the included angle of the other, the triangles are equal in all respects. II. When two angles of a triangle are equal the opposite sides are equal. Demonstration. Let ABC be...
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An Elementary Course of Plane Geometry

Richard Wormell - 1870 - 304 Seiten
...When two triangles have two sides and the included angle of the one respectively equal to two sides and the included angle of the other, the triangles are equal in all respects (§88 a). 13. When two triangles have two angles of the one respectively equal to two angles of the...
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A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 472 Seiten
...angle HCl is less than LKM. The angles, therefore, do not coincide. K FIG. 63. 85. Prob. — WIien two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, to apply one triangle to the other. SOLUTION. —...
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A Treatise on Special Or Elementary Geometry, Bände 1-2

Edward Olney - 1872 - 562 Seiten
...the angle HCI is less than LKM. The angles, therefore, do not coincide. K FIG. 68. 85, Prob* — When two triangles have two sides and the included angle of one equal to two sides and the included angle of the other, to apply one triangle to the other. SOLUTION. —...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 Seiten
...C. Let the lines DG, FG meet in G ; then DFG is the required triangle. Proposition 7. Theorem.—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 triangles will be equal in all...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 Seiten
...straight line. 2. From the greater of two given straight lines to cut off a part equal to the less. 3. 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 bases shall be equal. NOTE. —...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 Seiten
...(Post. 3) arcs of circles cutting in C. ABC is an equilateral triangle. Proposition 4. Theorem. — 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 triangles will be equal in all...
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The Elements of Geometry

George Bruce Halsted - 1885 - 389 Seiten
...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, Band 11

1893 - 376 Seiten
...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 - 1886 - 394 Seiten
...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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