 | William C. Bartol - 1893 - 112 σελίδες
...351. Two parallel lines cannot meet. 352. Two lines perpendicular to the same straight line 353. Any side of a triangle is less than the sum of the other two sides. 354. The sum of the three angles of a triangle is equal to two right angles. 355. Two triangles... | |
 | George Clinton Shutts - 1894 - 412 σελίδες
...the vertical angle of an isosceles triangle bisects the triangle. PROPOSITION XI. 87. Theorem. Any side of a triangle is less than the sum of the other two. A Let ABC represent any triangle. To prove that any side, as AB, is less than the sum o] the other... | |
 | John Macnie - 1895 - 390 σελίδες
...acute ; (2) without the triangle if one of those angles is obtuse. PROPOSITION XIX. THEOEEM. 88. Any side of a triangle is less than the sum of the other two. Given : Any side BC of a triangle ABC ; To Prove : BC is less than AB + AC. Produce BA to D, so that... | |
 | Adelia Roberts Hornbrook - 1895 - 222 σελίδες
...the longer, AB or A C+ CB ? 73. Show the truth of the following proposition : PRINCIPLE 3. — Any side of a triangle is less than the sum of the other two sides. 74. Cut three narrow strips of paper, one 10 inches long, the others each 5 inches long, and... | |
 | Arthur Lefevre - 1896 - 242 σελίδες
...empiricism, — never to clip the growing tree at the top. Now every man (and every dog) knows that one side of a triangle is less than the sum of the other two sides ; but no one would suppose that this circumstance entitled every man to opinions concerning the... | |
 | Webster Wells - 1898 - 264 σελίδες
...angle. BD 61. Since a straight line is the shortest line between two points (Ax. 4), it follows that Any side of a triangle is less than the sum of the other two sides. PROP. XIV. THEOREM. 62. Any side of a triangle is greater than the difference of the other two... | |
 | James Howard Gore - 1898 - 232 σελίδες
...77. Since a straight line is the shortest distance between two points (by 6), it follows that either side of a triangle is less than the sum of the other two. 78. By (77) BC < AB + AC. Transpose AB, then BC-AB<AC; that is, any side of a triangle is greater than... | |
 | Webster Wells - 1899 - 424 σελίδες
...BD C 61. Since a straight line is the shortest line between two points (Ax. 4), it follows that Any side of a triangle is less than the sum of the other two sides. PROP. XIV. THEOREM. 62. Any side of a triangle is greater than the difference of the other two... | |
 | William James Milne - 1899 - 258 σελίδες
...the other two sides? 2. How does the sum of any two sides compare with the third side? Theorem. .Any side of a triangle is less than the sum, of the other two sides. c Data : Any triangle, as ABC, and any side, as AC. To prove AC less than AB + BC. AB Proof.... | |
 | William James Milne - 1899 - 396 σελίδες
...the other two sides ? 2. How does the sum of any two sides compare with the third side? Theorem. Any side of a triangle is less than the sum of the other two sides. c Data : Any triangle, as ABC, and any side, as AC. To prove AC less than AB + BC. AB Proof.... | |
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Any side of a triangle is less than the sum of the other two sides... 
