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" If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second. "
Plane and Solid Geometry - Σελίδα 45
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 1

William Nicholson - 1809
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 1

William Nicholson - 1819
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and...

The Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - 1828 - 169 σελίδες
...thicken upon us in the few next pages. LESSON I. ARTICLE 1. " If there be two triangles which have hvo sides of the one equal, respectively, to two sides of the other; and likewise the angles contained by those sides equal to one another : then the bases or third sides...

A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 σελίδες
...things we take equal things, the remainders are unequal, 49. ARTICLE 1. If there be two triangles which have two sides of the one equal, respectively, to two sides of the other; and likewise the angles contained by those sides equal to one another :—then, the bases or third...

PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 443 σελίδες
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...parallel to the base. 40. To describe a triangle equal to a given quadrilateral figure. 41. If two triangles have two sides of the one equal respectively to two sides of the other, and have likewise the contained angles supplementary, the triangles are equal in area. 42. To bisect...

An Elementary Course of Plane Geometry

Richard Wormell - 1868 - 261 σελίδες
...the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which has the greater angle is greater...

An Elementary Geometry and Trigonometry

William Frothingham Bradbury - 1872 - 238 σελίδες
...parallelogram ; E and F the middle points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram...

An Elementary Geometry

William Frothingham Bradbury - 1872 - 110 σελίδες
...parallelogram ; E and F the middle points of AB and CD. BFand DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram...




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