 | Education - 1895 - 850 pages
...between 0° and 180C. 3. Show that but one angle of a triangle may be 90° or greater. 4 Show that the sum of two sides of a triangle is greater than the third. 5. Given two angles of a triangle to find the third. The above is a fair sample of the method of the... | |
 | George Cunningham Edwards - Geometry - 1895 - 324 pages
...between 0° and 180°. 3. Show that but one angle of a triangle may be 90° or greater. 4. Show that the sum of two sides of a triangle is greater than the third. 5. Given two angles of a triangle to find the third. 17. THEOREM. If two straight lines make equal... | |
 | George Cunningham Edwards - Geometry - 1895 - 330 pages
...but if multiplied or divided by a negative quantity, the inequality will be reversed. 5. Show that the sum of two sides of a triangle is greater than the sum of the distances from any point within the triangle to the extremities of the third side. d+e>f... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...equidistant from the extremities of a straight line is the perpendicular bisector of that line. 137. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. 138. The sum of the three angles of a triangle is... | |
 | Western Reserve University - 1896 - 566 pages
...into segments proportional to the other two sides. 3. To inscribe a square in a given triangle. 4. The sum of two sides of a triangle is greater than the third side. LATIN. VJ EMERY, AM Instructor in Latin in Adelbert College, Western Reserve University. (2 hours.)... | |
 | John Bascombe Lock - Logarithms - 1896 - 244 pages
...measured in angular units ; eg c is measured by angle AOB. We know, then, the following properties : 1. * The sum of two sides of a triangle is greater than the third. 2. The greatest side is opposite the greatest angle, and conversely. 3. Any angle A < 180°. 4. (A... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...the triangle. 128. The homologous sides and the homologous angles of equal triangles are equal. 138. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. 141. Two right triangles are equal if the hypotenuse... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...opposite interior angles, and therefore greater than either of them. PROPOSITION XIX. THEOREM. 138. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. A o In the triangle ABC, let AC be the longest side.... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...opposite interior angles, and therefore greater than either of them. PROPOSITION XIX. THEOREM. 138. Tlie sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. a In the triangle ABC, let AC be the longest side.... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...EF. (?) CD + DF < CE + EF. (?) .-. 2CD<2CE. (?) .-. CD<CE. (?) QED • Proposition 13. Theorem. 23. The sum of two sides of a triangle is greater than the sum of two lines drawn from a point within the triangle to the extremities of the third side. Hypothesis.... | |
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The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. 
