| Encyclopedias and dictionaries - 1816
...oppofite angles. COR. ». Any two angles of a triangle are together lefs than two right angles. COR. 3. **If two triangles have two angles of the one equal to two angles of the other,** the remaining angle of the one is equal to the remaining angle of the other, COR. 4. The two acute... | |
| Euclides - 1816 - 528 pages
...by BD, and that the right angle BED is equal to the right angle BFD, the two triangles • EBD, FED **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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 pages
...straight line drawn from the vertex to the base, bisecting the vertical angle. PROP. XXXII. . • (xxvi.) **If two triangles have two angles of the one equal to two angles of the other,** the third angle of the one shall also be equal to the third angle of the other. (XXVII.) The angle... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...by BD ; and because the right angle BED, is equal to the right angle BFD, 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... | |
| John Mason Good - 1819 - 740 pages
...contained by the equal to them of the other. 1 Prop. XXVI. Theor. If two triangles hive twn angles of **one equal to two angles of the other, each to each ; and** one side equal to one side. vi¿. either the sides adjacent to the equal angles, 01 the sides opposite... | |
| John Playfair - 1819 - 317 pages
...equal to the right angle FCL ; and 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 equiil angles in each, is common to both ; therefore the other... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...parallel to CD, the alternate angles, GFE, FGH, are also equal; therefore the two triangles GEF, FHG, **have two angles of the one equal to two angles of the other, each to each ; and** the side FG, adjacent to the equal angles, common ; the triangles are therefore equal (theorem 6) ;... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...takes place when in each triangle two sides respectively equal, form an equal angle ; and also when **two angles of the one, equal to two angles of the other,** are formed on an equal side. It is easy to demonstrate these propositions in the same manner as in... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...angle BAG is greater than the angle EDF. Wherefore, if two triangles, &e. QED .5- PROP. XXVI. THEOR. **If two triangles have two angles of the one equal to two angles of the other,** eaeh to eaeh -, and one side equal to one side, viz. either the sides adjaeent to the equal angles,... | |
| Euclid - 1826 - 236 pages
...2. If the corresponding diameters of two equiangular parallelograms be equal to one another, also a **side of the one equal to the corresponding side of the other,** then shall the other opposite sides of the one be equal to the other opposite sides of the other. 3.... | |
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