 | Benjamin Franklin Finkel - Mathematics - 1888 - 518 pages
...sides of the other, and the included angles of the first greater than that of the second, prove that the third side of the first is greater than the third side of the second. Also prove the converse of this theorem. 3. Similar triangles (and similar polygons) are to each other... | |
 | William C. Bartol - Geometry, Solid - 1893 - 112 pages
...the one are equal respectively to the three sides of the other. 358. If two sides of a triangle be equal respectively to two sides of another, but the third side of the first triangle be greater than the third side of the second, then the angle opposite the third side of the... | |
 | George Albert Wentworth - Geometry - 1893 - 270 pages
...two sides of a A is greater than the third side). PROPOSITION XXVIII. THEOREM. 153. CONVERSELY. If two sides of a triangle are equal respectively to two sides of rznotJier, but the third side of the first triangle is greater than the third side of the second, then... | |
 | George Albert Wentworth - Geometry - 1894 - 456 pages
...A is greater than the third side). .-. AF+FC> AE; PROPOSITION XXVIII. THEOREM. 153i CONVERSELY. If two sides of a triangle are equal respectively to two sides of another, but the third side of tJie first triangle is greater than the third side of the second, then the angle opposite the third... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...the second, then the third side of the first is greater than the third side of the second. 153. If two sides of a triangle are equal respectively to...sides of another, but the third side of the first triangle is greater than the third side of the second, then the angle opposite the third side of the... | |
 | Joe Garner Estill - 1896 - 186 pages
...the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state the converse. 2. Prove that lines drawn through the vertices of a triangle to... | |
 | Joe Garner Estill - 1896 - 214 pages
...the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Prove this ; and state the converse. 2. Prove that lines drawn through the vertices of a triangle to... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.] . CONSTRUCTION. To form a triangle when two sides, m and n, and an angle opposite one of them, a, are... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. GIVEN— two triangles ABC and A'B'C having AB=A'B' and AC— AC, but angle ^4>angle A. To PROVE nC>B'C.... | |
 | Education - 1898 - 558 pages
...sides of the other but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Demonstrate: The line joining the vertex of the right angle of a right triangle to the center of... | |
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Conversely, when two sides of a triangle are equal respectively to two sides of another, but the third side of the first is greater than the third side of the second... 
