 | William Sullivan - 1833 - 380 σελίδες
...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... | |
 | Euclides - 1834 - 518 σελίδες
...AEG is equal * to the angle BEH ; * 15' l• 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 ; wherefore they have their other... | |
 | Robert Simson - 1835 - 544 σελίδες
...right angle FCK is equal \ f JP M to the rightangle FCL: Therefore, in the two triangles FKC, FLC, there are two angles of one equal to two angles of...each, is common to both ; therefore the other sides are equal g to the other sides, and the third angle g 26. 1. to the third angle : Therefore the straight... | |
 | Euclid - 1835 - 540 σελίδες
...than the angle EDF. Wherefore, " ifhco triangles" &c. QED PROP. XXVI. THEOR. If two triangles have two angles of 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 angles, or the sides opposite... | |
 | John Playfair - 1835 - 336 σελίδες
...FC, which is adjacent to the equal angles in each, is common to both ; therefore the other sides are equal to the other sides, and the third angle to the third angle; therefore the straight line KC is equal to CL, and the angle FKC to the angle FLC : and because KC... | |
 | 1835 - 684 σελίδες
...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 - 1836 - 148 σελίδες
...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 angles of the other, each to each ; and one side equal to one side, the triangles shall be equivalent. Which was to be proved. PROP. VII. THEOR.... | |
 | 1836 - 488 σελίδες
...greater than the angle contained by the sides of the other. XXVI. 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 angles, or the sides opposite... | |
 | John Playfair - 1836 - 488 σελίδες
...the two H< , ; , triangles FKC, FLC, there are two,angles of one equal to two angles of the otrter, each to each, and the side FC, which is adjacent to the «qual angles in each, K g 28. V 1 is common to both ; therefore the oiher sides are equal • to the... | |
 | John Playfair - 1837 - 332 σελίδες
...the 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...each, is common to both ; therefore the other sides are equal (26. l.)to the other sides,and the third angle to the third angle ; therefore the straight... | |
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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, viz. either the sides adjacent to the equal... 
