 | Thomas Lund - 1854 - Liczba stron: 520
...CoR. Hence, also, the difference between any two sides is less than the third side. 39. PROP. XVII. If two triangles have two angles of the one equal to two angles of the other, each to each, and likewise the side which is common to those angles in the one equal to the side which is common... | |
 | Popular educator - 1852 - Liczba stron: 1272
...if two triangles, &c. QED Scholium. The enunciation of this proposition may be thu» simplified : If two triangles have two angles of the one, equal to two angles of the other, each to each, and u side of the one equal to a side of the other similarly situated as to the equal angles, the two... | |
 | Popular educator - 1854 - Liczba stron: 922
...angles. Corollary 2. — If two angles of one triangle be equal to two angles of another triangle, the third angle of the one is equal to the third angle of the other. Corollary 3.— Every angle of an equilateral triangle is equal to one-third of two right angles, cr... | |
 | Charles Davies - 1854 - Liczba stron: 436
...consequently, the two equiangular triangles BAC, CED, are similar figures. Cor. Two triangles which have two angles of the one equal to two angles of the other, are similar ; for, the third angles are then equal, and the two triangles are equian gular (BI, p.... | |
 | Euclides - 1855 - Liczba stron: 270
...greater than, equal to, or less than the angle opposite to the base of the other. PROP. XXVI. THEOREM. 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... | |
 | Euclides - 1855 - Liczba stron: 230
...the angle EBC (4): and the angle AEG is equal to the angle BEH (a); 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... | |
 | Robert Potts - 1855 - Liczba stron: 1050
...drawn to intersect one another, the greater segments will be equal to the sides of the pentagon. 3. If two triangles have two angles of the one equal to two angles of the other, and one side equal to one side, viz. either the sides adjacent to the equal angles in each, or the... | |
 | Noble Heath - 1855 - Liczba stron: 468
...triangle are equal to two right angles, and if equals be taken from equals, the remainders are equal ; the third angle of the one is equal to the third angle of the other. In like manner also we may construct a rectilineal figure equiangular, and consequently similar, to... | |
 | John Playfair - 1855 - Liczba stron: 334
...it is not equal to it: therefore the angle BAC is greater than the angle EDF. PROP. XXVI. THLOR. Jf two triangles have two angles of the one equal to two angles of the otIirr, each to each; and one side equal to one side, viz. either the sides adjacent to the equal anglrs,... | |
 | Cambridge univ, exam. papers - 1856 - Liczba stron: 200
...opposite angles are equal, these straight lines are, two and two, in the same straight line. 3. 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. the sides adjacent to equal angles in each; then shall the other... | |
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If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. 
