| John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...equal, (3. def.) and therefore the angles AFG, AEG are alfo equal. The triangles AGE, AGF have therefore **two angles of the one equal to two angles of the other,** and they have alfo the fide AG common, wherefore they are equal, and the fide AF is equal to the fide'AE.... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...(viz. at D,) and the angles ABD, CAD equal ', and also the side AD common ; these triangles therefore **have two angles of the one equal to two angles of the other,** each to each, but the common side AD not lying either between given, or opposite equal angles, the... | |
| Euclides - 1816 - 592 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 - 772 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 - 764 pages
...». 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 - Geometry - 1816 - 338 pages
...A', A", then, (IX.) . sin S s\n A sin «S'sin A .s\nS"s\nA" (235.) COR. 2. If two spherical triangles **have two angles of the one equal to two angles of the other,** each to each, or an angle of the one being equal to an angle of the other, if two other angles, one... | |
| Daniel Cresswell - Euclid's Elements - 1817 - 454 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 - Circle-squaring - 1819 - 350 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... | |
| 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... | |
| Peter Nicholson - Mathematics - 1825 - 1046 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 plane... | |
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