| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...the right angle BED is equal to the right angle BFD ; the two triangles EUCLID 8 ELEMENTS. 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... | |
| Euclides - Geometry - 1853 - 176 pages
...bisected by Ь d, and that 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... | |
| Euclides - 1853 - 146 pages
...the right angle BED is equal (Ax. 11.) to the right angle BFD; therefore the two triangles EBD, FBD, **have two angles of the one equal to two angles of the other,** each to each , and the side BD, which is opposite to one of the equal angles in each, is common to... | |
| Charles Davies - Geometry - 1854 - 436 pages
...homologous sides proportional (D. 1, 2); consequently, the two equiangular triangles BAC, CED, are **similar figures. Cor. Two triangles which have two...third angles are then equal, and the two triangles are** equian gular (BI, p. 25, c. 2.) Scholium. Observe, that in similar triangles, the homologous sides... | |
| Popular educator - 1852 - 1272 pages
...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... | |
| Thomas Lund - Geometry - 1854 - 520 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... | |
| Robert Potts - 1855 - 1050 pages
...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... | |
| Euclides - 1855 - 270 pages
...and the right angle BED (I. Ax. 11) to the right angle BF D. Therefore the two triangles EBD and FBD **have two angles of the one equal to two angles of the other,** each to each ; and the side BD, which is opposite to one of the equal angles in each, is common to... | |
| Euclides - 1855 - 230 pages
...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... | |
| John Playfair - Geometry - 1855 - 334 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,... | |
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