| Thomas Lund - Geometry - 1854 - 192 pages
...the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles **have two angles of the one equal to two angles of the other, each to each, and** likewise the side which is common to those angles in the one equal to the side which is common to the... | |
| Popular educator - 1852
...triangles, &c. QED Scholium. The enunciation of this proposition may be thuğ simplified : If two triangles **have two angles of the one, equal to two angles of the other, each to each, and** u side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Charles Davies - Geometry - 1854 - 436 pages
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which **have two angles of the one equal to two angles of the other,** are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p.... | |
| Euclides - 1855
...the angle EBC (4): and the angle AEG is equal to the angle BEH (a); 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; wherefore they have their other sides... | |
| Euclides - 1855
...two triangles, &c. QED The enunciation of this proposition may be thus simplif'ed: If two triangles **have two angles of the one, equal to two angles of the other, each to each, and** a side of the one equal to a side of the other similarly situated as to the equal angles, the two triangles... | |
| Robert Potts - 1855
...intersect one another, the greater segments will be equal to the sides of the pentagon. 3. If two triangles **have two angles of the one equal to two angles of the other,** and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the... | |
| John Playfair - Geometry - 1855 - 336 pages
...equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf two triangles **have two angles of the one equal to two angles of the** otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,... | |
| Peter Nicholson - Cabinetwork - 1856 - 216 pages
...parallel to CD, the alternate angles, GFE, FGH, are also equal ; therefore the two triangles GEF, HFG, **have two angles of the one equal to two angles of...any two points, F, E, on the one of the lines, are** equdistant from the other line. TIIEOREM 27. 79. In any triangle, if one of the sides be produced,... | |
| Cambridge univ, exam. papers - 1856
...angles are equal, these straight lines are, two and two, in the same straight line. 3. 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. the sides adjacent to equal angles in each; then shall the other sides... | |
| Euclides - 1856
...BAC, and the angle ABE is equal to the angle ABC (being both right angles), the triangles ABC, ABE **have two angles of the one equal to two angles of the other,** and the side AB common to the two. Therefore the triangles ABC, ABE are equal, and the side AE is equal... | |
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