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. Euclid - Page 45by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
| Euclid, John Keill - Geometry - 1723 - 442 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.... | |
| John Keill - Trigonometry - 1733 - 448 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 - 462 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-... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...EDF. Wherefore, if two triangles, &c. QJLD. PROP. XXVI. THEO R. TF two triangles have two angles of **one equal to two angles of the other, each to each ; and** one fide equal to one fide, viz. either the fides adjacent to the equal angles, or the fides oppofite... | |
| Euclid - Geometry - 1776 - 324 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 - Geometry - 1776 - 318 pages
...neither equal nor lefs than EDF, it muft be greater. Wherefore, &c. PROP. XXVI. THEOR, TF two tr tangles **have two angles of the one equal to two angles •*• of the other, each to** 'eachy and a fide of the one equal to a fide of the other^ either the fide lying between ths equal... | |
| Euclid - 1781 - 550 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... | |
| Robert Simson - Trigonometry - 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... | |
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