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" If two triangles have two sides of the one equal to two sides of the... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 36
av John Playfair - 1832 - 333 sider
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...greater of two given straight lines, to cut off a part equal to the less. 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 shall likewise...
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Elemento of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - 1848 - 338 sider
...distance from one point to another, shortest distance from a point to a line, &c 75 7. Triangles having two sides of the one equal to two sides of the other, each to each, but the included angles unequal 76 8. Consequences — triangles having their sides severally equal, a quadrilateral...
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Report of the Committee of Council on Education (England and Wales ..., Utgave 2

Great Britain. Council on Education - 1848 - 596 sider
...parallel to the same straight line are parallel to one another. 2. If two triangles have two sides qf 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 by the two sides equal...
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Elements of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - 1848 - 340 sider
...cosa cos6 + sina sinft cos C. ; Cor. 1. If two spherical triangles have two sides of the (536) one equal to two sides of the other each to each but the included angles unequal, the remaining sides will be unequal and the greater side will be opposite...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 sider
...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 greater base, will be greater...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...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 shall likewise have...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 sider
...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 side will belong...
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The English Journal of Education, Volum 4

1850 - 488 sider
...upon one side of it, are either two right angles, or are together equal to two right angles. 3. 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 contained by the two sides equal...
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Iconographic Encyclopaedia of Science, Literature, and Art, Volum 1

Johann Georg Heck - 1851 - 712 sider
...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 side will belong to...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 sider
...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 of the one shall...
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