Αναζήτηση Εικόνες Χάρτες Play YouTube Ειδήσεις Gmail Drive Περισσότερα »
Είσοδος
Βιβλία Βιβλία
" 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

Introduction and books 1,2

Euclid - 1908
...OM. Consider the point Jlf, one of those which follow M, such that AfAf is equal to tr. Then, because any side of a triangle is less than the sum of the other two, OM' <OM + MM'. But OM+ MM1 = OM + a- < R, whence OM' < R, which is absurd. A similar absurdity would...

Exercises in Geometry

Grace Lawrence Edgett - 1909 - 81 σελίδες
...adjacent angles which one straight line makes with another are together equal to two right angles. 7. Any side of a triangle is less than the sum of the other two sides. 8. The difference between two sides of a triangle is less than the third side. 9. If lines AB and MN...

Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 σελίδες
...shortest distance between two points is measured along the straight line-segment connecting them. Thus one side of a triangle is less than the sum of the other two. IV. // each of two figures is congruent to the same figure, they are congruent to each other. See §§...

Elements of Plane Geometry

William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 263 σελίδες
...angles are respectively equal. Equiangular. Mutually Equiangular Triangles. PROPOSITION IV. THEOREM. 86. Any side of a triangle is less than the sum of the other tivo, and greater than their difference. Given any A ABC. To prove I. any side, as AC < AB + BC. II....

Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1910 - 280 σελίδες
...shortest distance between two points is measured along the straight line-segment connecting them. Thus one side of a triangle is less than the sum of the other two. IV. // each of two figures is congruent to the same figure, they are congruent to each other. See §§...

College Entrance Examination Papers in Plane Geometry

1911 - 178 σελίδες
...hexagon, compute the ratio of the areas of the inscribed and the circumscribed circles. 6. Prove that any side of a triangle is less than the sum of the other two, and greater than their difference. 8. The perimeter of a square is b meters, compute the perimeters...

The Teaching of Geometry

David Eugene Smith - 1911 - 339 σελίδες
...moves figures without deformation, but states no postulate on the subject ; and be proves that one side of a triangle is less than the sum of the other two sides, when he might have postulated that a straight line is the shortest path between two points. Indeed,...

LECTURES ON FUNDAMENTAL CONCEPTS OF ALGEBRA AND GEOMETRY

JOHN WESLEY YOUNG - 1911
...a triangle are unequal, the greater angle is opposite the greater side, and conversely; also, each side of a triangle is less than the sum of the other two. However, it is not possible to prove the following fundamental theorem : There exists a triangle whose...

Advanced Calculus: A Text Upon Select Parts of Differential Calculus ...

Edwin Bidwell Wilson - 1911 - 280 σελίδες
...and ß are two complex numbers, the rule |«|-f|/3| = |« + /3| is a consequence of the fact that one side of a triangle is less than the sum of the other two. If the absolute value is given and the initial end of the vector is fixed, the terminal end is thereby...

Elements of Solid Geometry

William Herschel Bruce, Claude Carr Cody - 1912 - 110 σελίδες
...intersect, the vertical angles are equal. 85. In congruent figures homologous parts are equal. 86. Any side of a triangle is less than the sum of the other two, and greater than their difference. 91. Two triangles are congruent if they have two sides and the included...




  1. Η βιβλιοθήκη μου
  2. Βοήθεια
  3. Σύνθετη Αναζήτηση Βιβλίων
  4. Λήψη ePub
  5. Λήψη PDF