 If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 132. If two triangles have two sides of...  Plane and Solid Geometry - Page 217by Elmer Adelbert Lyman - 1908 - 340 pagesFull view - About this book
 | Charles William MacCord - Machinery, Kinematics of - 1883 - 360 pages
...two ellipses, IIK and GL, will also intersect in P. For, first, joining DE, the triangles DEF, DEC, have two sides of one respectively equal to two sides of the I other, and the third side is common, whence the angle at F is equal to the angle at C; and in the... | |
 | Euclides - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided into... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...Therefore they are equal to one another. Exercises. 1. Every median of a triangle bisects the triangle. 2. If two triangles have two sides of one respectively equal to two sides of the other, and the contained angles supplemental, their areas are equal. 3. If the base of a triangle be divided into... | |
 | William Chauvenet - Geometry - 1887 - 346 pages
...Therefore C is greater than A. PROPOSITION XIV.-THEOREM. 30. If two triangles have two sides of the one respectively equal to two sides of the other,...greater included angle has the greater third side. Let AB C and ABD be the two triangles in which the sides AB, AC are respectively equal to the sides... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 332 pages
...greater than the angle opposite the less side. PROPOSITION XIV. If two triangles have two sides of the one respectively equal to two sides of the other,...has the greater included angle has the greater third Bide. PROPOSITION XV. If two triangles have two sides of the one respectively equal to two sides of... | |
 | 1887 - 644 pages
...contained by the straight lines AB, CD"is"rect. AB, CD." 1. If two triangles have two sides of the one respectively equal to two sides of the other and the included angles equal, the remaining sides shall be equal. 2. If two triangles have two sides of the one respectively... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...k 13 EXERCISES ON BOOK IV. THEOEEMS. 1. Two triangles are equivalent if they have two sides of the one respectively equal to two sides of the other, and the included angle of the one equal to the supplement of the included angle of the other. 2. The two opposite triangles... | |
 | William Chauvenet - Geometry - 1887 - 364 pages
...,2 / EXERCISES ON BOOK IV. THEOKEMS. 1. Two triangles are equivalent if they have two sides of the one respectively equal to two sides of the other, and the included angle of the one equal to the supplement of the included angle of the other. 2. The two opposite triangles... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...sides of a given triangle. Proposition XXXI. A Theorem. 68. If two triangles have two sides of the one respectively equal to two sides of the other and the included angles unequal, the third side of the one having the greater angle will be longer than the third side of the other. SCHOLIUM.... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...sides of a given triangle. Proposition XXXI. A Theorem. 68. If two triangles have two sides of the one respectively equal to two sides of the other and the included angles unequal, the third side of the one having the greater angle will be longer than the third side of the other. SCHOLIUM.... | |
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