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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

Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - 1878 - 209 σελίδες
...angle. Any side may be taken as the base. The sign A is often used for the word triangle. XVT. Theorem. Any side of a triangle is less than the sum of the other two sides, and greater than their difference. HYPOTH. Let AB be any side of the triangle, ABC. To BE PROVED. AB...

Text-book of Elementary Plane Geometry

Julius Petersen - 1880 - 73 σελίδες
...A = Z C, and from the second that Z ^4 < ZC, and both are in opposition to what was given. 39. One side of a triangle is less than the sum of the other two. Make ED = BO, then x = y, therefore /L ACD > Z a;, but from that it follows (38) that AD > AC, or .45+...

Text-book of elementary plane geometry, tr. by R. Steenberg

Julius Petersen - 1880
...that ZA = ZC, and from the second that ZA < ZC, and both are in opposition to what was given. 39. One side of a triangle is less than the sum of the other two. Make ED = BC, then x = y, therefore Z ACD > /.x, but from that it follows (38) that AD > AC, orAB+BC>AC....

Elements of Geometry

George Albert Wentworth - 1881
...triangle is the angle included between a side and an adjacent side produced, as ¿ С B D. 95. DEF. The two angles of a triangle which are opposite the...angle, are called the two opposite interior angles, as Zs Л and С. 96. Any side of a triangle is less than Ihe sum of the other two sides. Since a straight...

Elements of Geometry

George Albert Wentworth - 1879 - 250 σελίδες
...angles an obtuse angle. 90. DBF. An Acute triangle is one which has all the angles acute. EQUIANGULAR. 91. DBF. An Equiangular triangle is one which has...96. Any side of a triangle is less than the sum of lhe( other two sides. Since a straight line is the shortest distance between two points, AC<AB+ £C....

Elements of Geometry

George Albert Wentworth - 1882 - 250 σελίδες
...triangle is the angle included between a side and an adjacent side produced, as Z. С B D. 95. DEF. The two angles of a. triangle which are opposite the...angles, as AA and C. 96. Any side of a triangle is less ihan the sum of the other two sides. Since a straight liiie is the shortest distance between two points,...

Essentials of Geometry

Alfred Hix Welsh - 1883 - 267 σελίδες
...AB from each member of (1), for instance, we have AC - AB < BC; that is, B C> AC - A B. Therefore, any side of a triangle is less than the sum of the other two, and greater than their difference. Note.—In the statement of any theorem, that which is given or...

Wentworth & Hill's Exercise Manuals.(: Geometry

George Albert Wentworth - 1884 - 228 σελίδες
...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...

Annual Report

Canada. Department of the Interior - 1888
...terms : Postulate, theorem, corollary, scholium, axiom. 3. Give the first four axioms of Rue; lid. 4. Any side of a triangle is less than the sum of the other two. 5. From a point within a straight line, only one perpendicular can be drawn. 6. If one side of a triangle...

Wentworth & Hills's Exercise Manuals: Geometry, 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...




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