| 1872 - 398 pages
...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... | |
| Richard Wormell - Geometry, Plane - 1870 - 304 pages
...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... | |
| 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. —... | |
| 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. —... | |
| 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... | |
| 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. —... | |
| 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... | |
| 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... | |
| 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... | |
| 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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