 | Edward Olney - Geometry - 1879 - 502 pages
...of the other sides. The figure will suggest the demonstration, which is based on the fact that any side of a triangle is less than the sum of the other two. F,0 474. 923. Theo. — The difference between the distances from two points on opposite sides of a... | |
 | Julius Petersen - Geometry, Modern - 1880 - 104 pages
...follow that ZA = ZC, and from the second that ZA < ZC, and both are in opposition to what was given. 39. One side of a triangle is less than the sum of the other two. Make ED = BC, then x = y, therefore Z ACD > /.x, but from that it follows (38) that AD > AC, orAB+BC>AC.... | |
 | Julius Petersen - Geometry, Modern - 1880 - 86 pages
...that Z A = Z C, and from the second that Z ^4 < ZC, and both are in opposition to what was given. 39. One side of a triangle is less than the sum of the other two. Make ED = BO, then x = y, therefore /L ACD > Z a;, but from that it follows (38) that AD > AC, or .45+... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...which treats of plane figures — figures whose points are all in the same plane. THEOREM III. Any side of a triangle is less than the sum of the other two, and greater than their difference. 0 Let ABC be any triangle; then: First: Any side will be less than... | |
 | George Albert Wentworth - 1884 - 264 pages
...the included angle equal, each to each. THEOREMS RELATING TO LENGTHS AND DISTANCES. 61. Theorem. Each side of a triangle is less than the sum of the other two sides, and greater than their difference. 62. Theorem. The sum of two straight lines, drawn from a... | |
 | George Albert Wentworth - Geometry - 1884 - 422 pages
...opposite the exterior angle, are called the two opposite interior angles, as AA and С. 96. Any nide of a triangle is less than the sum of the other two sides. Since a straight line is the shortest distance between two points, A С < AB + B С. 97. Any... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...: Postulate, theorem, corollary, scholium, axiom. 3. Give the first four axioms of Rue; lid. 4. Any side of a triangle is less than the sum of the other two. 5. From a point within a straight line, only one perpendicular can be drawn. 6. If one side of a triangle... | |
 | George Albert Wentworth - 1889 - 264 pages
...the included angle equal, each to each. THEOREMS RELATING TO LENGTHS AND DISTANCES. 61. Theorem. Each side of a triangle is less than the sum of the other two sides, and greater than their difference. 62. Theorem. The sum of two straight lines, drawn from a... | |
 | George Albert Wentworth - 1889 - 276 pages
...the included angle equal, each to each. THEOREMS RELATING TO LENGTHS AND DISTANCES. 61. Theorem. Each side of a triangle is less than the sum of the other two sides, and greater than their difference. 62. Theorem. The sum of two straight lines, drawn from a... | |
 | George Irving Hopkins - 1891 - 210 pages
...line drawn from the vertex of a triangle to the middle point of the base is called a median. 97. Any side of a triangle is less than the sum of the other two, and greater than their difference. 98. The sum of the three angles of a triangle is equal to two right... | |
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Any side of a triangle is less than the sum of the other two sides... 
