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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

Exercise Manuals, Τεύχος 3

George Albert Wentworth - 1889
...the included angle equal, each to each. THEOREMS RELATING TO LENGTHS AND DISTANCES. 61. Theorem. Each side of a triangle is less than the sum of the other two sides, and greater than their difference. 62. Theorem. The sum of two straight lines, drawn from a point to...

Manual of Plane Geometry, on the Heuristic Plan: With Numerous Extra ...

George Irving Hopkins - 1891 - 179 σελίδες
...The line drawn from the vertex of a triangle to the middle point of the base is called a median. 97. Any side of a triangle is less than the sum of the other two, and greater than their difference. 98. The sum of the three angles of a triangle is equal to two right...

The Elements of Solid Geometry

William C. Bartol - 1893 - 95 σελίδες
...drawn. 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 are...

The Elements of Geometry

Webster Wells - 1894 - 378 σελίδες
...altitude. 61. Since a straight line is the shortest line between two points (Ax. 6), it follows that Either side of a triangle is less than the sum of the other two sides. PROPOSITION XIV. THEOREM. 62. Either side of a triangle is greater than the difference of the other...

Plane and Solid Geometry: Suggestive Method

Charles Ambrose Van Velzer, George Clinton Shutts - 1894 - 395 σελίδες
...distances from any point in the perpendicular to the extremities of the line are equal. PROPOSITION VIII. Any side of a triangle is less than the sum of the other two. PROPOSITION IX. If a perpendicular be erected at the middle point of a straight line, the distances,...

Concrete Geometry for Beginners

Adelia Roberts Hornbrook - 1895 - 201 σελίδες
...Which is 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 place...

Elements of Geometry: Plane and Solid

John Macnie - 1895 - 374 σελίδες
...both 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...

Number and Its Algebra: Syllabus of Lectures on the Theory of Number and Its ...

Arthur Lefevre - 1896 - 230 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 conclusions...

The Essentials of Geometry (plane)

Webster Wells - 1898 - 242 σελίδες
...angle. D 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....

Plane and Solid Geometry

James Howard Gore - 1898 - 210 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...




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