| William James Milne - Geometry, Modern - 1899 - 258 pages
...divide the quadrilateral into two equivalent parts. Ex. 540. Two triangles are equivalent, if they **have two sides of one respectively equal to two sides of the other,** and if the included angles are supplementary. /' Ex. 541. 0 is any point on the diagonal AC -of the... | |
| William James Milne - Geometry - 1899 - 326 pages
...&ABE + ДБ(Ж~ Д AED + &DEC; that is, AB CE - AECD. Ex. 540. Two triangles are equivalent, if they **have two sides of one respectively equal to two sides of the other,** and if the included angles are supplementary. Data : &ABC and BDC having AB = BD, BC in common, and... | |
| William James Milne - Geometry - 1899 - 398 pages
...divide the quadrilateral into two equivalent parts. Ex. 540. Two triangles are equivalent, if they **have two sides of one respectively equal to two sides of the other,** and if the included angles are supplementary. Ex. 541. O is any point on the diagonal AC of the parallelogram... | |
| 1900 - 650 pages
...angle is greater than the side which is opposite to the less. 6. Prove by a direct demonstration that **if two triangles have two sides of one respectively equal to two sides of the other, but the** base of one greater than the base of the other, the angle contained by the sides of that which has... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...point X is taken, and XB, XD are drawn : shew that the triangle BAX is equal to the triangle DAX. 9. **If two triangles have 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.... | |
| Frederick Storrs Turner - Knowledge, Theory of - 1900 - 516 pages
...actual cases, consider the use of the law of Contradiction by Euclid. He takes two triangles which **have two sides of one respectively equal to two sides of the other,** and the included angles equal : on these data he argues that the third sides are equal. For supposing... | |
| James McMahon - Geometry, Plane - 1903 - 382 pages
...Therefore the triangles ABC and A'B'C' are equal. Two sides and the angle opposite one. 97. THEOREM 20. **If two triangles have two sides of one respectively equal to two sides of the other,** and the angle opposite one of these equal to the corresponding angle in the other triangle, then the... | |
| 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... | |
| 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.... | |
| Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...be deduced immediately from Theorem IX? Also Corollary II, § 97 from Theorem VIII? THEOREM X 130. **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... | |
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