 | John Playfair - 1836 - 148 páginas
...the base DF, and the triangle ABC is equivalent to the triangle DEF. Therefore, 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, the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR.... | |
 | 1836 - 488 páginas
...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... | |
 | John Playfair - 1836 - 488 páginas
...the two H< , ; , triangles FKC, FLC, there are two,angles of one equal to two angles of the otrter, each to each, and the side FC, which is adjacent to the «qual angles in each, K g 28. V 1 is common to both ; therefore the oiher sides are equal • to the... | |
 | Euclides - 1837 - 112 páginas
...:. 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... | |
 | Andrew Bell, Robert Simson - 1837 - 290 páginas
...is equal to KCF, and the right angle FHC equal to the right angle FKC ; in the triangles FHC, FKC, there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
 | Charles Reiner - 1837 - 246 páginas
...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 - 1838 - 434 páginas
...HCF is equal to KCF, and the right angle FHC equal to the right angle FKC; in the triangles FHC, FKC there are two angles of one equal to two angles of the other, and the side FC, which is opposite to one of the equal anglesin each, is common to both ; therefore... | |
 | Euclides - 1838 - 264 páginas
...Wherefore, if two triangles, &c. Q. t, n. PROP. XXVI. THEOR. °V'.' 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, vis. either the sides adjacent to the equal angles, or the sides opposite... | |
 | Euclides - 1841 - 378 páginas
...EDF. Wherefore, if two triangles, &c. UED PROP. XXVI. THEOR. 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... | |
 | 1842 - 528 páginas
...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,... | |
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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... 
