...IX. Draw figure and demonstrate 1st case. Ans. 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, ami the greater side will belong to the triangle which has...

...cut the circle BDE in D, and join OD. Then because the triangles VOD, VOE have two sides of the one equal to two sides of the other, each to each, and the included angles OVD, OFB equal to one another, the bases OD, OB are likewise equal, and the angle FDO is equal to the...

...E, F respectively. Prove that, if DE=EF, BD = CF. . 677. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite the other equal sides are either equal...

...F respectively. Prove that, if DE=EF,BD = CF. tEx. 135. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite the other equal sides are either equal...

...each ; then shall the triangles be equal in all respects. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to one pair of equal sides be equal, prove that the angles opposite to the other pair...

...XY > XZ, ZS ^ YT. THEOREM 20.* [CONVERSE OP THEOBEM 19.] If two triangles have two sides of the one equal to two sides of the other, each to each, and the third sides unequal, the triangle which has the greater third side has the greater included angle....

...E, F respectively. Prove that, if DE=EF, BD = CF. . 677. If two triangles have two sides of the one equal to two sides of the other, each to each, and the angles opposite to two equal sides equal, the angles opposite the other equal sides are either equal...