 | Euclides - 1884 - 214 pages
...would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have two angles of the one equal to two angles of the other, each to each or together, their third angles are also equal. The corollaries to this proposition are not Euclid's.... | |
 | Stewart W. and co - 1884 - 272 pages
...to it ; therefore the angle BAC is greater than EDF. XXVI. — If two triangles have two angles of one equal to two angles of the other, each to each ; and one side equal to one side, viz., either the sides adjacent to the equal angles, or the sides opposite... | |
 | United States. Congress. Senate - United States - 1880 - 1304 pages
...the other side of the given what figure will the two triangles forra f 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are... | |
 | Oxford univ, local exams - 1885 - 358 pages
...sided figures, and the four definitions concerning segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side; viz. the sides adjacent to the equal angles in each; then shall the other... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...acute angle of the other, they are congruent. 6. If two right-angled triangles have equal hypotenuses, and a side of one equal to a side of the other, they are congruent. 7. The bisectors of the three internal angles of a triangle are concurrent. 8.... | |
 | Euclides - 1885 - 340 pages
...acute angle of the other, they are congruent. 6. If two right-angled triangles have equal hypotenuses, and a side of one equal to a side of the other, they are congruent. 7. The bisectors of the three internal angles of a triangle are concurrent. 8.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...other converse proposition may be obtained from Proposition V., Book I. ? 3. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely, the sides opposite to the equal angles in each, the triangles shall... | |
 | William Ernest Johnson - Plane trigonometry - 1889 - 574 pages
...angle of the other, are equal in all respects. (2) Two triangles, which are equal in area and have two angles of the one equal to two angles of the other, each to each, are equal in all respects. (3) Two triangles, which are equal in area and have a side and opposite... | |
 | Euclid - Geometry - 1890 - 442 pages
...EF. AA It remains .'. that A > D. Proposition 26. (First Part.) THEOREM — If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the two sides adjacent to these angles equal ; then the triangles are identically equal,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...what Proposition is it an immediate inference ? PROPOSITION 26. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, namely, either the sides adjacent to the equal angles or sides which are... | |
| |
If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. 
