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 Books Books 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 - Page 45
by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pages
Full view - About this book ## The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

...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...
Full view - About this book ## American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 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...
Full view - About this book ## The Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 169 pages
...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...
Full view - About this book ## A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 128 pages
...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...
Full view - About this book ## 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...
Full view - About this book ## Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 443 pages
...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...
Full view - About this book ## 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...
Full view - About this book ## An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1868 - 261 pages
...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...
Full view - About this book ## An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 238 pages
...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...
Full view - About this book ## An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 110 pages
...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...
Full view - About this book