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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
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - 1912 - 376 σελίδες
...to A. The length of this perpendicular is the height of the tower. PROPOSITION XXIII. 112. THEOREM. Any side of a triangle is less than the sum of the two other sides and greater than their difference. Given A ABC. To Prove AB < BC + CA and SUG. 1. AB<BC+CA....

Essentials of Logic

William Dinwiddie - 1914 - 176 σελίδες
...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,...

Plane Geometry

Webster Wells, Walter Wilson Hart - 1915 - 309 σελίδες
...Given 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, §51. T\msBC<AB+AC. (6) Any side of a triangle is greater than the difference...

Plane and Solid Geometry

Webster Wells, Walter Wilson Hart - 1916 - 467 σελίδες
...Given 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, BOAC-AB....

Junior High School Mathematics, Τόμος 1

Theodore Lindquist - 1920
...triangle. The side opposite the right angle is named hypotenuse. The symbols are A ABC and 1\ MNK. Any side of a triangle is less than the sum of the other two sides, because it is shorter to go from A to B along the straight line AB than from A to C to B. In symbols...

Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 305 σελίδες
...quadrilateral are unequal and bisect each other at right angles, the figure is a rhombus. 146. Postulate VI. Any side of a triangle is less than the sum of the other two sides. A still broader and more usual statement is: A straight line is the shortest line between two points....

Junior High School Mathematics, Τόμος 1

Theodore Lindquist - 1920
...triangle. The side opposite the right angle is named hypotenuse. The symbols are A ABC and 1\, MNK. Any side of a triangle is less than the sum of the other two sides, because it is shorter to go from A to B along the straight line AB than from A to C to B. In symbols...

Plane Geometry

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 305 σελίδες
...triangle ABK, show that the angle KB A is greater than the angle AM B. 146. Postulate VI. Any »ide of a triangle is less than the sum of the other two sides. A still broader and more usual statement is : A straight line is the shortest line between two points....

Solid Geometry

Herbert Edwin Hawkes, Frank Charles Touton - 1922 - 192 σελίδες
...unequals are subtracted from equals, the results are unequal in the reverse order. 146. Postulate VI. Any side of a triangle is less than the sum of the other two sides. DEFINITIONS 15. Angle. A plane angle (symbol Z) is the figure formed by two rays which meet. 16. Triangle....

Drill Book in Plane Geometry

Robert Remington Goff - 1922
...the same figure, prove BD greater than DC. 8. In the same figure, prove BK greater than KC. 9. One side of a triangle is less than the sum of the other two and greater than their difference. CHAPTER X LOCI The basic principle is the definition: The locus...




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