| 1836 - 472 sider
...that which has the greater base, shall be 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,... | |
| John Playfair - 1836 - 114 sider
...four right angles : therefore all the exterior angles are equal to four right angles. PROP. VI. 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, the triangles shall be equivalent. Let ABC, DEF be two... | |
| Andrew Bell - 1837 - 240 sider
...not equal to it ; therefore the angle BAC is greater than the angle EDF. PROPOSITION XXVI. 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,... | |
| C. Reiner - 1837 - 215 sider
...angle acb; and the triangle bdc must coincide with the triangle abc, and be equal to it. M. — Hence, **if two triangles have two angles of the one equal to two angles of the other,** each to each, and have likewise one side equal to one side, how must these sides be situated in order... | |
| Charles Reiner - 1837
...and if the equal angles be subtracted from these equals, the remaining angles must be equal. M.—If **two triangles have two angles of the one equal to two angles of the other,** each to each, what may be said of the remaining third angles ? P.—They must be equal,—for the reason... | |
| William Whewell - 1837
...angle; therefore MLN is equal to LKH; and the angles at H and at N are right angles. Therefore the **triangles have two angles of the one equal to two angles of the other** ; and the side KL is equal to LM. Therefore the triangles are equal, and HL is equal to MN; that is,... | |
| Euclid - 1837 - 390 sider
...is equal (const.) to FBD, and that the right angles BED, BFD are equal, the two triangles EBD, FBD **have two angles of the one equal to two angles of the other,** and the side BD, which is opposite to one of the equal angles in each, is common to both ; therefore... | |
| A. Bell, Robert Chambers, William Chambers - 1837 - 164 sider
...Def. 7)i and therefore the angles AFG, AEG, are also equal. The triangles AGE, AGF, have therefore **two angles of the one equal to two angles of the other,** and they have also the side AG common ; wherefore they are equal, and the side AF is equal to the side... | |
| Euclides - 1838
...ij greater than the angle EDF. 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,... | |
| Thomas Kerigan - 1838
...the angle BCD, by the aforesaid proposition. And because the two triangles ADF and BCF have, thus, **two angles of the one equal to two angles of the other,** viz., the angle FAD to the angle FB C, and the angle AD F to the angle BCF; and the side AF of the... | |
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