PROP. XXIV. THEOR. If two triangles have two sides of the one equal to the 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 of the other, the base of that which has the greater angle shall be greater than the base of the other.

CON. P. 23. 3. Pst. 1.

DEM. P. 4. 5. Ax. 9. P. 19.

PROP. XXV. Theor. If two triangles have two sides of the one equal to the two sides of the other, each to but the base of one greater than the base of the other, the angle contained by the sides of the one whic the greater base shall be greater than the angle contained by the sides equal to them of the other.

PROP. XXVI. THEOR. If two triangles have two angles of the one equal to two angles of the other, each to and one side equal to one side, viz., either the sides adjacent to the equal angles in each, or the sides o to them, then shall the other sides be equal, each to each, and also the third angle of the one to th

angle of the other.

CON. P. 3. Pst. 1.

DEM. P. 4. Ax. 1. P. 16.

CASE. I. Let the equal sides be adjacent to the equal angles.

CASE. II. Let the equal sides be opposite the equal angles in each.

USE, continued.

PROP. XXVII. THEOR. If a st. line falling upon two other st. lines make the alternate angles equal to one another,