| George Roberts Perkins - 1850 - 320 páginas
...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,... | |
| 1867
...which can be drawn to the four angles from any point, except the intersection of the diagonals. 3. **If two triangles have two angles of the one equal to two angles of the** otner, each to each, and one side equal to one side, viz., the sides opposite to equal angles in each,... | |
| ...opposite sides of 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... | |
| Euclides - 1852
...as to exemplify the two last propositions.] PROP. XXVI. THEOR. If two triangles have two angles of **one equal to two angles of the other, each to each...viz. either the sides adjacent to the equal angles,** or the sides opposite to equal angles in each; then shall the other sides be equal, each to each ;... | |
| A. M. LEGENDRE - 1852
...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
...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 their... | |
| Royal Military Academy, Woolwich - 1853
...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 - 1853 - 147 páginas
...i« greater than the angle edf. Wherefore, if two triangles, &e. QED PROPOSITION XXVI. — THEOREM. **If two triangles have two angles of the one equal to two** angtee of the other, each to each, and one side equal to one side, viz. either the sides adjacent to... | |
| Popular educator - 1852
...Therefore, if two triangles, &c. QED Scholium. The enunciation of this proposition may be thu» 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... | |
| Thomas Lund - 1854 - 192 páginas
...CoR. Hence, also, 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... | |
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