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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...