| 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... | |
| Encyclopaedia Perthensis - 1816 - 764 pages
...Con. i. Any two angles of a triangle are together lefi 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. Coa. 4. The two acute... | |
| Encyclopedias and dictionaries - 1816
...». 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... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 436 pages
...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... | |
| 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 sides are... | |
| John Playfair - Euclid's Elements - 1819 - 333 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... | |
| 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... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...angle EBC: and the angle AEG is •15.1. equal* to the angle BEH: therefore the triangles AEG, BEH **have two angles of the 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: • 26. 1. wherefore they have their... | |
| Thomas Kerigan - Nautical astronomy - 1828 - 664 pages
...opposite angle CBF, — Euclid, Book I., Prop. 29. And, since the two triangles AFD and FBC have, thus, **two angles of the one equal to two angles of the other,** viz., the angle AFD to the angle FBC, and the angle FAD to the angle BFC, and the side AF of the one... | |
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