| John Playfair - 1836 - 114 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 - 472 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 - 1837 - 240 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 - 524 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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