| Peter Nicholson - Mathematics - 1825 - 1046 pages
...EBC: And the angle AEG is equal to the angle BKH (10. Ax. 1.); therefore the triangles AEG, ВЕН **have two angles of 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 ; wherefore they shall have their... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...equal to the right angle FCL ; therefore in the two triangles FKC, FLC, there are two angles of the **one equal to two angles of the other, each to each ; and** the side FC, which is adjacent to the equal angles in each, is common to both; therefore the other... | |
| Euclid, Robert Simson - Geometry - 1829 - 548 pages
...the angle BAC is greater than the angle EDF. Wherefore, if two triangles, &c. QED PROP. .XXVI. THEOR. **IF two triangles have two angles of one equal to two angles of the other, each to** eacli ; and one side equal to one side, viz. either the sides adjacent to the equal angles, or the... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the **one equal to two angles of the other, each to each, and** likewise the interjacent* sides equal ; their other sides shall he equal, each to each, viz. those... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...right angle FCK is equal to the right angle FCL; and therefore in the two triangles FKC, FLC, there are **two angles of one equal to two angles of the other, each** H to each, and the side FC, which is adjacent to the equal angles in each, is common to both; therefore... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...EDF. Wherefore, if two triangles, &c. QED PROP. XXVI. 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, viz. either the** side adjacent to the equal angles, or the sides opposite to the equal angles in each ; then shall the... | |
| William Sullivan - Ethics - 1833 - 380 pages
...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, or the sides opposite to the equal angles in each; then... | |
| Euclid - 1835 - 540 pages
...right angle FCK is equal to the rightangle FCL : Therefore, in the two triangles FKC, FLC, there are **two angles of one equal to two angles of the other, each to each, and** the side FC, which is adjacent to the equal angles in each, is common to botli ; therefore the other... | |
| Mathematics - 1835 - 684 pages
...equal in every respect. PROP. 5. (Eue. i. 26, first part of.) If two triangles have two angles of the **one equal to two angles of the other, each to each, and** likewise the interjacent* sides equal ; their other sides shall be equal, each to each, viz. those... | |
| John Playfair - Geometry - 1836 - 148 pages
...is equal (4. 1.) to the base DF, and the triangle ABC is equivalent to the triangle DEF. Therefore, **if two triangles have two angles of one equal to two...other, each to each ; and one side equal to one side,** the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR. If two of the sides of... | |
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