| George Roberts Perkins - Geometry - 1847 - 326 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal (Prop. xxiv, Cor. 1), namely, the angle B equal to the angle D,... | |
| George Roberts Perkins - Geometry - 1850 - 332 pages
...the angle BAC to the angle DCA, and the angle BCA to the angle DAC ; hence the two triangles, having **two angles of the one equal to two angles of the other,** have also their third angles equal, (Prop, xxiv, Cor. 1,) namely, the angle B equal to the angle D,... | |
| 582 pages
...parallelograms are equal." State and prove the onverse of this proposition. ,"*• *i two triangles **have two angles of the one equal to two angles of the** ". eaoh to each, and one side equal to one side: namely, the side opposite , k? eo,ual angles in each... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...consequently, the equiangular triangles BAC, CED, are two 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 equiangular (B. L, P.... | |
| 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 both ; therefore... | |
| Euclides - Geometry - 1853 - 178 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... | |
| 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... | |
| Thomas Lund - Geometry - 1854 - 522 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... | |
| 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 angles, the two... | |
| 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.... | |
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