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" If two triangles have two sides of the one equal to two sides of the... "
Plane and Solid Geometry - Page 66
by Walter Burton Ford, Charles Ammerman - 1913 - 321 pages
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...has been described upon the gn. straight line AB. — QEF PROP. IV. THEOREM. GEN. ENUN. — If two triangles have two sides of the one equal to two sides of the other, each to each, and have also the angles contained by those sides equal, they shall likewise have...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...straight line, to make a rectilineal angle equal to a given rectilineal angle. PROP. XXIV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...TRIGONOMETRY, AND MENSURATION. (One question only to be answered in each section.) Section 1. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...Straight lines which are parallel to the same straight liue are parallel to one another. 2. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of the one greater than the angle contained...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...found that BO+ OC< BD +DC; therefore, still more isBO + OC<BA + AC. PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the third sides will be unequal; and the greater...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...make DG equal to AC or DF, and join EG, GF. PROPOSITION xiv. THEOREM (Converse of Prop. XIII.). If two triangles have two sides of the one equal to two sides of the other, each to each, but the bases unequal, the angle contained by the sides of that which has the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...lines, a part AE has been cut off equal to c the less. Which was to be done. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another; they...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...another, the sides also which subtend or are opposite to the equal angles, shall be equal. 3. If two triangles have two sides of the one equal to two sides of the other, and have likewise their bases equal, the angle contained by the two sides of the one shall be...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...GRIFFIN, MA, St John's College. CHARLES OCTAVUS BCDD, MA, Pembroke College. THURSDAY, Jan. 6. 9... 12. 1. IF two triangles have two sides of the one equal to two sides of the other, each to each, and have likewise their bases equal, the angle which is contained by the two sides...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...triangle abc, (fig. 14), ab is greater than ac, then is also / acb greater than £ abc, &c. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angle unequal, the third sides will be unequal, and the greater...
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