| Robert Simson - Trigonometry - 1827 - 546 pages
...angle EBC: and the angle AEG is •15.1. equal* to the angle BEH: therefore the triangles AEG, BEH **have two angles of the one equal to two angles of the other,** each to each, and the sides AE, EB, adjacent to the equal angles, equal to one another: • 26. 1.... | |
| Thomas Kerigan - Nautical astronomy - 1828 - 776 pages
...opposite angle CBF, — Euclid, Book I., Prop. 29. And, since the two triangles AFD and FBC have, thus, **two angles of the one equal to two angles of the other,** viz., the angle AFD to the angle FBC, and the angle FAD to the angle BFC, and the side AF of the one... | |
| James Hayward - Geometry - 1829 - 228 pages
...mO' and M'N'O' are equal. The angle N'O'M' is common to the two triangles nmO' and N'M'O'; and having **two angles of the one equal to two angles of the other,** the other angles must be equal, that is, the angle O'M'N' is equal to the angle O' nm ; and this intersection... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...equal to the arc В С (12.); therefore the angle В О a is equal to BO b. Therefore BO a, BO b are **triangles which have two angles of the one equal to two angles of the other,** each to each, and the interjacent side О В common to both : consequently, (I. 5.) they are equal... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...be proved in all other triangles under the same conditions. Wherefore, universally, if two triangles **have two angles of the one, equal to two angles of the other** respectively ; &c. Which was to be demonstrated. PROPOSITION XXVII. THEOREM. — If a straight line... | |
| William Sullivan - Ethics - 1833 - 380 pages
...it. It is a truth, for example, but not a self-evident one, that if one draw two triangles, having **two angles of the one equal to two angles of the other,** each to each ; and one side equal to one side, viz. either of the sides adjacent to the equal angles,... | |
| Euclides - 1834 - 518 pages
...and the right angle FHC equal to the right angle FKC, therefore in the triangles FHC, FKC there are **two angles of the one, equal to two angles of the other,** each to each ; and the side FC, which is opposite to one of the equal angles in each, is common to... | |
| Mathematics - 1835 - 684 pages
...the arc В С (12.); therefore the angle В О a is equal to BO b. Therefore В О а, В О b are **triangles which have two angles of the one equal to two angles of the other,** each to each, and the interjacent side О В common to both : consequently, (I. 5.) they are equal... | |
| Euclid - 1835 - 540 pages
...by BD, and because 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... | |
| John Playfair - Geometry - 1836 - 148 pages
...therefore all the exterior angles are equal to four right angles. PROP. VI. THEOR. 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, the triangles shall be equivalent. Let ABC, DEF be two... | |
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