 | Mathematics - 1836 - 488 pages
...greater than the angle contained by the sides of the other. XXVI. 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. either the sides adjacent to the equal angles, or the sides opposite to... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...be < z. EDF, 3. that :. Z BAC must be > Z EOF. PROPOSITION XXVI. (Argument ad absurdum). Theorem. 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 opposite to the equal... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...right angle FCK is equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore the other... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...to it. M. — Here, then, is a third instance of equality in triangles : what is it ? angles of the one equal to two angles of the other, each to each, and have likewise the sides adjacent to the equal angles equal to each other. M. — Repeat, now, all you... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...the angle EBC: and the angle AEG is equal to the angle BEH (15. 1.); therefore the triangles AEG, BEH have two angles of one equal to two angles of the other, each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another ; wherefore they shall have their... | |
 | Euclides - 1838 - 264 pages
...equal to the right angle FCL ; therefore, in the two triangles FKC, FLC, there are two angles of the one equal to two angles of the other, each to each ; and the side FC, which is adjacent to the equal angles in each, is common to both ; therefore «„ , the... | |
 | Euclides - Geometry - 1841 - 378 pages
...angle BED is equal to the right angle BFD; therefore the two triangles EBD, FBD have two angles of the one equal to two angles of the other, each to each; and the side BD, which is opposite to one of the equal angles in each, is common to both; therefore their... | |
 | Encyclopedias and dictionaries - 1842 - 538 pages
...ABC. These two lines must then meet in some point c. und the angle acb will be equal to ACI>. If then two triangles have two angles of one equal to two angles of the other, each to each, the third angle of the one must be equal to the third angle of the other; and tint much being established,... | |
 | Encyclopedias and dictionaries - 1842 - 526 pages
...ABC. These two lines must then meet in some point e, nnd the angle aeb will be equal to ACB. If then two triangles have two angles of one equal to two angles of the other, each to each, the third angle of the one must be equal to the third angle of the other; and this much being established,... | |
 | 1842 - 524 pages
...ABC. These two lines must then meet in some point c, and the angle neb will be equal !o ACB. If then two triangles have two angles of one equal to two angles of the other, each to each, the third angle of the one must be equal to the third angle of the other ; and this much being established,... | |
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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. either the sides adjacent to the equal... 
