 Two triangles are equal if two sides and the included angle of one are equal respectively to two sides and the included angle of the other...  Solid Geometry - Page 495by Fletcher Durell - 1904 - 206 pagesFull view - About this book
 | Massachusetts - 1897 - 1382 pages
...GEOMETRY. Prove the following propositions : — 1. Two triangles are equal when two sides and the indndfd angle of one are equal to two sides and the included angle of the other. 2. If two parallels are cut by a secant line, the alternate interior angles are equal.... | |
 | Eugenius Nulty - Geometry - 1836 - 242 pages
...theorems. THEOREM VI. 38. If 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 remaining sides and angles are respectively equal. This theorem appears to be self-evident (IjP)..... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...moreover, the side BD is common ; hence the two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other : the triangles are therefore equal, and consequently, AD is equal to BC, and the angle ADB to the angle... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...moreover, the side BD is common ; hence the two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other : the triangles are therefore equal, and consequently, AD is equal to BC, and the angle ADB to the angle... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...moreover, the side BD is common | hence the two triangles have two sides and the included an^.u of the one, equal to two sides and the included angle of the Other : the triangles are therefore equal, and consequently AD is equal to BC, and the angle ADB to the angle DBC... | |
 | Euclides - 1858 - 248 pages
...bisect a given rectilineal angle. DEMONSTRATION. — P. 4. Two triangles are equal in every respect when two sides and the included angle of one are equal to two sides and the included angle of the other triangle. EXP. CONS. DEM. Given the st.line AB ; it is required to bisect it. On AB make... | |
 | 1872 - 398 pages
...triangle is 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... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...of triangles. 12. 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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...opposite. THEOREM VIII. 40. If 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 two triangles are equal in all respects. In the triangles ABC, DEF, let the side A iJ equal DE, AC... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...opposite. THEOREM VIII. 40, If 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 two triangles are equal in all respects. In the triangles ABC, DEF, let the side AB equal DE, AC equal... | |
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