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. either the sides adjacent to the equal... Pure Mathematics - Page 1151874Full view - About this book
| John Keill - Geometry - 1723 - 364 pages
...Angle KCF ; and the Right Angle FHC equal to the Right Angle FKC; the two Triangles FHC, FKC fhall **have two Angles of the one equal to two Angles of the other,** and one Side of the one equal to one Side of the other, -viz.. the Side FC common to each of them.... | |
| Euclid, John Keill - Geometry - 1733 - 393 pages
...under the equal Sides, the one greater than the other \ which was to be demonftrated. PROPOSITION XXVI, **THEOREM. If two 'Triangles have two Angles of the one equal to** fjoo Angles of the other, each to each, and one Side of the one equal to one Side of the other, either... | |
| Robert Simson - Trigonometry - 1762 - 466 pages
...bifcfted by BD, 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 fide BD, which is oppofite to one of -f\ the equal angles in each, is com- -^ men to both :... | |
| Euclid - Geometry - 1765 - 464 pages
...c F, but the right angle FH c is equal to the right angle FK c : The two triangles FH c, FK c, will **have two angles of the one equal to two angles of the other,** and one fide of the one equal to one fide of the other, viz. the common fide F c, which is oppofite... | |
| John Keill - Geometry - 1772 - 399 pages
...LF C. Therefore the Angle KFC is equal to the Angle CF L. And fo FKC, FLC, are two Triangles, having **two Angles of the one equal to two Angles of the other, each to each, and one Side** of the one equal to one Side of the other, viz. the common Side FC ; wherefore they •f- z6. i. fliall... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...And the angle AEG is equal to the angle BEH a ; therefore the triangles AEG, BEH have two angles of **one equal to two angles of the other, each to each, and** the fides AE, EB, adjacent to the cqua.t angles, equal to one another ; wherefore they fhall have their... | |
| Euclid - Geometry - 1776 - 264 pages
...EDF. If not, it will be equal or lefs. EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEO R. TF **two triangles have two angles of the one equal to two angles •*• of the other, each to each, and** aJiJe of the one equal to ajide of the other, either thejide lying between the equal angks, orj'ubtending... | |
| Euclid, Robert Simson - Geometry - 1781 - 466 pages
...bifefted by BD, 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 Tide BD, which is oppofite to one of the TJ Cqual angles in each, is common ** to bbth... | |
| Euclid - 1781 - 520 pages
...And the angle AEG is equal to the angle BEHa ; therefore the triangles AEG, BEH have two angles of **one equal to two angles of the other, each to each, and** the fides AE, EB, adjacent to the equal angles, equal to one another; wherefore they fhall have their... | |
| John Keill - Geometry - 1782 - 399 pages
...Sides, the one greater than the other ; which was to be ckmonilrated. PROPROPOSITION XXVI. THEOREM. ff **two Triangles have two Angles of the one equal to...two Angles of the other, each to each, and one Side** of the one equal to one Side of the other, either the Side lying between the equal Angles, or which... | |
| |