 If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 132- If two triangles have two sides of...  Plane Geometry - Page 71by Fletcher Durell, Elmer Ellsworth Arnold - 1917 - 318 pagesFull view - About this book
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...path of P. To prove that this line is actually fixed in position as P moves. The triangles POM, PON have two sides of one respectively equal to two sides of the other, and the angles opposite a pair of equal sides are right angles ; therefore the angles POM and PON are equal... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...sum of the other two sides of the triangle. 88. Theorem XXXVI. If two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, that being greater which belongs to the triangle having the greater included... | |
 | Alan Sanders - Geometry - 1903 - 396 pages
...ABCDEF. PROPOSITION XXVIII. THEOREM 181. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles unequal; the third sides are unequal, and the greater third side belongs to the triangle having the greater included... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...XB, XD are drawn : shew that the triangle BAX is equal to the triangle DAX. 9. If two triangles hajve two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, the triangles are equal in area. ON PROP. 39. 10. The... | |
 | George Clinton Shutts - 1905 - 260 pages
...§ 131. Prove OM equal to O N. PROPOSITION XL. 138. Theorem. // two triangles have two sides of one equal to two sides of the other and the included angles unequal, the remaining sides are unequal, and that side is the greater which is opposite the greater included angle.... | |
 | William Chauvenet - 1905 - 336 pages
...43.) EXERCISES ON BOOK IV. THEOREMS. 1. Two triangles are equivalent if they have two sides of the one respectively equal to two sides of the other, and the included angle of the one equal to the supplement of the included angle of the other. 2. The two opposite triangles... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...the hypotenuse and a side of the other. 13. If two triangles have two sides of one equal respectively to two sides of the other, and the included angles...greater included angle has the greater third side. 14. If two triangles have two sides of one equal respectively to two sides of the other, and the third... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...unequal, the side opposite the greater angle is greater than the side opposite the less angle. 130. If two triangles have two sides of one respectively...greater included angle has the greater third side. 132- If two triangles have two sides of the one respectively equal to two sides of the other, and the... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...deduced immediately from Theorem IX? Also Corollary II, § 97 from Theorem VIII ? THEOREM X 130. // two triangles have two sides of one respectively equal...greater included angle has the greater third side. Given : Two A ABC and DEF, in which AB = DE, AC = DF, and Z BAC > Z EOF. To Prove : BC > EF. Proof: Draw... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...increasing B by increments of 30°. Find the area in each case and tabulate the results. (Theoretical.) 6. If two triangles have two sides of one respectively equal to two sides of the other, and the angles contained by those sides supplementary, shew that the triangles are equal in area. Can such... | |
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