 | Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 648 pages
...an arc cutting the arc previously drawn in C. Join CA, CB. The above problem is always possible if the sum of any two sides is greater than the third side. 89. Problem. To copy a given triangle in a new position. This may be done as explained in the last... | |
 | Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 184 pages
...(19) In any spherical triangle ABC: (a) The sum of the sides is less than 360° (or 2 w radians). (o) The sum of any two sides is greater than the third side. Hence any side is greater than the difference of the other two. (c) Equal sides lie opposite equal... | |
 | Mathematics - 1915 - 830 pages
...of a triangle which are equally true in P and 'on S. For example, the sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. That not all the relations are the same is apparent from the sum of the angles. In P this number is... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...between two points. It follows from this postulate that the sum of any two sides a, b, c, of a triangle is greater than the third side, and their difference is less than the third side. For a + b > c by this postulate ; hence by subtracting b from 'both members of the inequality a > c... | |
 | William Betz - Geometry - 1916 - 536 pages
...AB<AC-\-BC. We infer from this that a triangle can be constructed with three given lines as sides, when the sum of any two sides is greater than the third side. 74. Construction I. To construct a triangle, given the three sides. The method of construction is shown... | |
 | John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...be accordingly all less than 90°, all equal to 90°, or all greater than 90°, and vice versa. (f) The sum of any two sides is greater than the third...and their difference is less than the third side. (g) The sum of any two angles is greater than the supplement of the third angle. (h) The sum of the... | |
 | James Gill - Nautical astronomy - 1918 - 468 pages
...three right angles, or one, two, or three sides of 90°, but no angle or side can be as much as 180°. The sum of any two sides is greater than the third side. The sum of the three angles of a spherical triangle is always more than 180°, but less than 540°,... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...lines intersect each other, the vertical angles are equal. Prop. 7. The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side. Prop. 8. Two triangles are congruent when two sides and the included angle of one are equal respectively... | |
 | Cambridge Philosophical Society - Mathematics - 1927 - 1078 pages
...L.] Theorem V. 8. To prove that in a triangle, each of whose angles is less than two right angles, the sum of any two sides is greater than the third side (Euc. I. 20). Let ABC be such a triangle. Bisect the angle ABC by BD meeting AC in a point D, necessarily... | |
 | C. Xavier - Computers - 1994 - 554 pages
...B and C and print whether a triangle can be formed with these sides A,B and C. Hint: In a triangle the sum of any two sides is greater than the third side. 3.28 Write the necessary FORTRAN statements to evaluate. [b2-4acif b2>4ac D= \ 15ifx=0 [x3+10x2-9if... | |
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The sum of any two sides is greater than the third side, and their difference is less than the third side. 
