| 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... | |
| 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
...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, ยง51. T\msBC<AB+AC. (6) Any side of a triangle is greater than the... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...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,... | |
| Education - 1917 - 786 pages
...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,... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...other two sides, will the angle opposite the first side be acute or obtuse ? Ex. 3. If the square on one side of a triangle is less than the sum of the squares on the other two sides, will the angle opposite the first side be acute or obtuse? Ex. 4. Is... | |
| High schools - 1918 - 378 pages
...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,... | |
| |