 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...with vertex P. Ax. 8 .*. a + b + c-\ or Ax.8 §3,2 Proposition 10. Side of a Triangle 196. Theorem. Any side of a spherical triangle is less than the sum of the other two sides. Given the spherical A ABC. Prove that CA < AB + BC. Proof. Let 0-ABC be the corresponding trihedral... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...corresponding parts of the other; c. they are mutually equilateral; d. they are mutually equiangular. 3 . Each side of a spherical triangle is less than the sum of the other two sides. 5 . The sum of the angles of a spherical triangle is greater than 180° and less than 540°.... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...sum of the face angles of any convex polyhedral angle is less than four right angles. [34] 47. Each side of a spherical triangle is less than the sum of the other two sides. [74] 48. The sum of the sides of a spherical polygon is less than 360°. [75] 49. The sum of... | |
 | Pauline Sperry - Spherical trigonometry - 1928 - 88 pages
...and AEB, such figures will be excluded from the class of triangles by this agreement. Theorem 1. Each side of a spherical triangle is less than the sum of the other two sides. (See art. 6.) Theorem 2. The sum of the sides of a spherical triangle is less than 360°. For... | |
 | Harvard University - Education - 1876 - 324 pages
...triangles, each angle of one is measured by the supplement of the side lying opposite to it in the other. 8. Any side of a spherical triangle is less than the sum of the other two. 9. The sum of the angles of a spherical triangle is greater than two and less than six right angles.... | |
 | United States. War Department - 190 pages
...&rcsDE, DC, and CE, figure 109, is a spherical triangle. (1) Properties of spherical triangles: (a) Any side of a spherical triangle is less than the sum of the other two sides. (The sides are arcs of great circles and are measured in degrees. The number of degrees is the... | |
 | Education, Elementary - 1900 - 1022 pages
...angles of a spherical triangle are independent of the length of the radius of the sphere. 3. Either side of a spherical triangle is less than the sum of the other two. 4. If two sides of a spherical triangle are unequal, the angles opposite are unequal, and the greater... | |
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Each side of a spherical triangle is less than the sum of the other two sides. 
