 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...intersect, the vertical angles are equal. 85. In congruent figures homologous parts are equal. 86. Any side of a triangle is less than the sum of the other two, and greater than their difference. 91. Two triangles are congruent if they have two sides and the included... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...to A. The length of this perpendicular is the height of the tower. PROPOSITION XXIII. 112. THEOREM. Any side of a triangle is less than the sum of the two other sides and greater than their difference. Given A ABC. To Prove AB < BC + CA and SUG. 1. AB<BC+CA.... | |
 | William Dinwiddie - Logic - 1914 - 184 pages
...to x; the sum of any two angles of a triangle is greater than the third angle, therefore any angle of a triangle is less than the sum of the other two angles. PRACTICE ON SECTIONS 16 and 17 Using any of the examples for practice in the preceding section,... | |
 | Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...Given an arithmetical example for each of the axioms. 159. Fundamental Inequalities for Segments. (a) Any side of a triangle is less than the sum of the other two sides. This follows from Ax. 11, §51. T\msBC<AB+AC. (6) Any side of a triangle is greater than the difference... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...Given an arithmetical example for each of the axioms. 159. Fundamental Inequalities for Segments. (a) Any side of a triangle is less than the sum of the other two sides. (6) Any side of a triangle is greater than the difference between the other two sides. Thus, BOAC-AB.... | |
 | Education - 1917 - 786 pages
...points is the line segment Joining the points, (4) Two distinct points determine a straight line, (5) Any side of a triangle is less than the sum of the other two sides, (6) A diameter bisects a circle, (7) A straight line intersects a circle at most in two points, (8)... | |
 | High schools - 1918 - 378 pages
...points is the line segment joining the points, (4) Two distinct points determine a straight line, (5) Any side of a triangle is less than the sum of the other two sides, (6) A diameter bisects a circle, (7) A straight line intersects a circle at most in two points, (8)... | |
 | Theodore Lindquist - Mathematics - 1920 - 256 pages
...a dodecagon. 5. Find the perimeter of your desk; of the schoolroom; of any other object. c Scalene. 143. Triangles. — A triangle is scalene if none...to C to B. In symbols this is stated, AB < AC + CB. (\) Such a statement is called an inequality because it says that two numbers are not equal. Toward... | |
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Any side of a triangle is less than the sum of the other two sides... 
