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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

The Elements of Plane and Solid Geometry

Henry William Watson - 1871 - 285 σελίδες
...together less than the two sides BA and AC. Produce BD to meet the side AC in the point E. Because any side of a triangle is less than the sum of the two remaining sides, n therefore BE is less than BA+AE; add EC to each, therefore BE + EC is less than...

A Treatise on Special Or Elementary Geometry, Τόμοι 1-2

Edward Olney - 1872
...values of the other sides. The figure will suggest the demonstration, which is based on the fact that any side of a triangle is less than the sum of the other two. Fio. 923. TJieo. — The difference between the distances from two points on opposite sides of a fixed...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 368 σελίδες
...vertex upon the base is then called the altitude of the triangle. PROPOSITION XVII.— THEOREM. 66. Any side of a triangle is less than the sum of the other two. Let BC be any side of a triangle whose other two Bides are AB and AC; then BC < AB + AC. For, the straight...

A Treatise on Special Or Elementary Geometry: An advanced course in geometry

Edward Olney - 1872 - 84 σελίδες
...values of the other sides. The figure will suggest the demonstration, which is based on the fact that any side of a triangle is less than the sum of the other two. FIG. 474. 923. Tlieo.—The difference between the distances from two points on opposite sides of a...

A TREATISE ON SPECIAL OR ELEMENTARY GEOMETFH.

EDWARD OLNEY - 1872
...values of the other sides. The figure will suggest the demonstration, which is based on the fact that any side of a triangle is less than the sum of the other two. FIG. 474. 923. Theo. — The difference between the distances from two points on opposite sides of...

New Elementary Geometry: With Practical Applications; a Shorter Course, Upon ...

Benjamin Greenleaf - 1873 - 176 σελίδες
...isosceles triangle bisects the base at right angles. 4. Every equilateral triangle is also equiangular. 5. Any side of a triangle is less than the sum of the other Y. two. 6. The difference between any two sides of a triangle is less than the other side. T. The side...

New Elementary Geometry with Practical Applications

Benjamin Greenleaf - 1874 - 176 σελίδες
...isosceles triangle bisects the base at right angles. 4. Every equilateral triangle is also equiangular. 5. Any side of a triangle is less than the sum of the other two. 6. The difference between any two sides of a triangle is less than the other side. 7. The side in a...

The Methodist Review, Τόμος 27;Τόμος 35;Τόμος 57

1875
...some one of these special forms, to the exclusion of the others. But the mind which affirms that one side of a triangle is less than the sum of the other two, takes no account of these details of form, but dwells simply upon that general concept of a triangle...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1875 - 368 σελίδες
...upon the base is then called the altitude of the triangle. PROPOSITION XVII.— THEOREM. 66. Any aide of a triangle is less than the sum of the other two. Let BC be any side of a triangle whose other two Bides are AB and AC; then BC < AB + AC. For, the straight...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 443 σελίδες
...each, and the angle A to the angle D. Therefore, if two triangles, etc. PROPOSITION VIII. THEOREM. Any side of a triangle is less than the sum of the other, two. Let ABC be a triangle ; any one of its sides A is less than the sum of -the other two, viz., the side...




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