 | Henry William Watson - Geometry - 1871 - 320 pages
...together less than the two sides BA and AC. Produce BD to meet the side AC in the point E. Because any side of a triangle is less than the sum of the two remaining sides, n therefore BE is less than BA+AE; add EC to each, therefore BE + EC is less than... | |
 | Edward Olney - Geometry - 1872 - 102 pages
...values 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. FIG. 474. 923. Tlieo.—The difference between the distances from two points on opposite sides of a... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...vertex upon the base is then called the altitude of the triangle. PROPOSITION XVII.— THEOREM. 66. Any side of a triangle is less than the sum of the other two. Let BC be any side of a triangle whose other two Bides are AB and AC; then BC < AB + AC. For, the straight... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...values 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. Fio. 923. TJieo. — The difference between the distances from two points on opposite sides of a fixed... | |
 | Edward Olney - Geometry - 1872 - 96 pages
...values 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. FIG. 474. 923. Theo. — The difference between the distances from two points on opposite sides of... | |
 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...isosceles triangle bisects the base at right angles. 4. Every equilateral triangle is also equiangular. 5. Any side of a triangle is less than the sum of the other Y. two. 6. The difference between any two sides of a triangle is less than the other side. T. The side... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...isosceles triangle bisects the base at right angles. 4. Every equilateral triangle is also equiangular. 5. Any side of a triangle is less than the sum of the other two. 6. The difference between any two sides of a triangle is less than the other side. 7. The side in a... | |
 | Methodist Church - 1875 - 718 pages
...some one of these special forms, to the exclusion of the others. But the mind which affirms that one side of a triangle is less than the sum of the other two, takes no account of these details of form, but dwells simply upon that general concept of a triangle... | |
 | William Chauvenet - Geometry - 1875 - 390 pages
...upon the base is then called the altitude of the triangle. PROPOSITION XVII.— THEOREM. 66. Any aide of a triangle is less than the sum of the other two. Let BC be any side of a triangle whose other two Bides are AB and AC; then BC < AB + AC. For, the straight... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...which are opposite the exterior angle, are called the two opposite interior angles, as AA and С. 96. Any side of a triangle is less than the sum of the other two sides. Since a straight line is the shortest distance between two points, AC<AB + BC. 97. Any side of a triangle... | |
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Any side of a triangle is less than the sum of the other two sides... 
