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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. C... "
Elements of Geometry - Page 30
by Andrew Wheeler Phillips, Irving Fisher - 1896 - 540 pages
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...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, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...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 - Geometry - 1879 - 282 pages
...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 pages
...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 - Geometry - 1882 - 286 pages
...(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 - 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 - 376 pages
...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 - 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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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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