 | 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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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, namely, either t}le sides adjacent to the equal... 
