| 1867 - 336 pages
...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,... | |
| 582 pages
...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... | |
| 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 - 1852 - 152 pages
...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 ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the sides opposite... | |
| 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 their... | |
| Euclid - Geometry - 1853 - 176 pages
...DEF) have two angles of the one respectively equal to two angles of the other (B to E and C to F), and a side of the one equal to a side of the other, either [1] the sides adjacent to, or [2] the sides opposite to those equal angles (BC to EF or BA to... | |
| 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 - 178 pages
...iĞ 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... | |
| Thomas Lund - Geometry - 1854 - 522 pages
...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... | |
| Popular educator - 1852 - 1272 pages
...Therefore, if two 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... | |
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