 | Alva Walker Stamper - Geometry - 1909 - 214 pages
...straight line is the shortest path between two points. Boys cross lots without first learning that one side of a triangle is less than the sum of the other two. These facts of nature are used because they are serviceable. The Indian fastened his pony to a stake,... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...adjacent angles which one straight line makes with another are together equal to two right angles. 7. Any side of a triangle is less than the sum of the other two sides. 8. The difference between two sides of a triangle is less than the third side. 9. If lines AB... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...shortest distance between two points is measured along the straight line-segment connecting them. Thus one side of a triangle is less than the sum of the other two. IV. // each of two figures is congruent to the same figure, they are congruent to each other. See §§... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...shortest distance between two points is measured along the straight line-segment connecting them. Thus one side of a triangle is less than the sum of the other two. IV. // each of two figures is congruent to the same figure, they are congruent to each other. See §§... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...are respectively equal. Equiangular. Mutually Equiangular Triangles. PROPOSITION IV. THEOREM. 86. Any side of a triangle is less than the sum of the other two, and greater than their difference. AB Given any A ABC. To prove I. any side, as AC < AB + BC. II. AC... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...are respectively equal. Equiangular. Mutually Equiangular Triangles. PROPOSITION IV. THEOREM. 86. Any side of a triangle is less than the sum of the other tivo, and greater than their difference. Given any A ABC. To prove I. any side, as AC < AB + BC. II.... | |
 | Edwin Bidwell Wilson - Calculus - 1911 - 302 pages
...a and ß are two complex numbers, the rule |«|-f|/3| = |« + /3| is a consequence of the fact that one side of a triangle is less than the sum of the other two. If the absolute value is given and the initial end of the vector is fixed, the terminal end is thereby... | |
 | David Eugene Smith - Geometry - 1911 - 358 pages
...example, he moves figures without deformation, but states no postulate on the subject; and he proves that one side of a triangle is less than the sum of the other two sides, when he might have postulated that a straight line is the shortest path between two points.... | |
 | John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - Algebra - 1911 - 257 pages
...a triangle are unequal, the greater angle is opposite the greater side, and conversely; also, each side of a triangle is less than the sum of the other two. However, it is not possible to prove the following fundamental theorem : There exists a triangle whose... | |
 | Geometry, Plane - 1911 - 192 pages
...hexagon, compute the ratio of the areas of the inscribed and the circumscribed circles. 6. Prove that any side of a triangle is less than the sum of the other two, and greater than their difference. 8. The perimeter of a square is b meters, compute the perimeters... | |
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Any side of a triangle is less than the sum of the other two sides... 
