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" Any side of a triangle is less than the sum of the other two sides. "
Elements of Plane and Solid Geometry - Σελίδα 38
των George Albert Wentworth - 1877 - 398 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Plane and Solid Geometry

William James Milne - 1899 - 384 σελίδες
...of 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. By Ax....

Plane Geometry

William James Milne - 1899 - 242 σελίδες
...of 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. By Ax....

The Essentials of Geometry

Webster Wells - 1899 - 395 σελίδες
...angle. B D 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 sides....

The Essentials of Geometry

Webster Wells - 1899 - 395 σελίδες
...angle. 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 sides....

College Algebra

James Harrington Boyd - 1901 - 777 σελίδες
...the side of the octagon would be longer than the side of the square, which is not possible. * Since any side of a triangle is less than the sum of the other two sides, 2 а > b, and 4 аг > Ь2; hence v 4 ns — 6г is always real. PROBLKM V. — The median lines drawn...

The Teaching of Elementary Mathematics

David Eugene Smith - 1902 - 312 σελίδες
...that equals result from adding equals to equals. But when Euclid was criticised for proving that one side of a triangle is less than the sum of the other two, as having proved what even the beasts 1 Spencer, Education. know, his disciples were entirely right...

Plane Geometry by the Suggestive Method

John Alton Avery - 1903 - 122 σελίδες
...and CRB. Auth. SUG. 2. Compare CM and (7/£, using Scholiums under Theo. VI. Conclusion. 38. Scho. Any side of a triangle is less than the sum of the other two sides. EXERCISES 13. The bisector of the vertical angle of an isosceles triangle is perpendicular to the base....

Elementary Geometry: Plane

James McMahon - 1903 - 358 σελίδες
...vertex to any point in the base extended is greater than either side. Sum, of two sides. 87. THEOREM 17. Any side of a triangle is less than the sum of the other two. Let ABC be a triangle. To prove that any side AB is less than // the sum of the other two sides AC...

The New International Encyclopædia, Τόμος 6

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1903
...other in solid geometry, as when the terms triangle and trihedral anale дге interchanged : eg one side of a triangle is less than the sum of the other two ; one face angle of я trihedral angle is less than the sum of the other two. The term duality appears...

Mathematics, mechanics, heat

American School (Chicago, Ill.) - 1903
...base. 68. Since a straight line is the shortest distance between two points, it follows that either side of a triangle is less than the sum of the other two. THEOREM XV. 69. Either side of a triangle is greater than the difference of the other two. Let ABC...




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