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Books Books 1 - 10 of 135 on If two triangles have two sides of the one equal, respectively, to two sides of the....  
" If two triangles have two sides of the 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... "
The Teaching of Geometry - Page 190
by David Eugene Smith - 1911 - 339 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Science - 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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Natural history - 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...
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The Geometrical Companion: In which the Elements of Abstract Geometry are ...

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

George Darley - Geometry - 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...
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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...
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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...
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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...
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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...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclides - 1872
...direction. To prove the proposition by the help of the construction we must know, — 1. That if two AS have two sides of the one equal respectively to two sides of the other, and also the ^ included between the said sides in the first A equal to the ^ included between the said...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...equiangular triangle is also equilateral. OEOMETRY. BOOK I. PROPOSITION XXXI. THEOREM. 115. If two triangles have two sides of the one equal respectively...two sides of the other, but the included angle of tlie first greater than the included angle of the second, then the third side of the first will be...
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