| Elias Loomis - 1871 - 58 pagina’s
...alternate angles GHE, HEF are also equal. Therefore, the triangles HEF, EHG have two angles of the **one equal to two angles of the other, each to each, and the side** Eli inclu ded between the equal angles, common ; hence the triangles are equal (Prop. VII.) ; and the... | |
| Euclides - 1871
...QED a.* 8 NOTE XVI. Euclid's Proof of Prop. XXVI. of Book I. 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... | |
| Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...called the Vertex of the triangle. PKOPOSITION B. THEOREM. If two triangles have ttco angles of the **one equal to two angles of the other, each to each, and the** sides adjacent to the equal angles in each also equal; then must the triangles be equal in all respects.... | |
| Henry Major - 1873
...was not equal to it ; therefore the angle BAC is greater than EDF. XXVI. — 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... | |
| Arthur Rigg - 1873
...[Specimen Page, No. 3.] BOOK I. PROP. B. PBOPOSITION B. THEOREM. If two triangles have two angles of the **one equal to two angles of the other, each to each, and the** sides adjacent to the equal angles in each also equal; then must the triangles 6e equal in all respects.... | |
| Charles Mansford - 1874
...Therefore, if two triangles, &c. QED PROPOSITION 26. THEOREM. If two triangles have two angles of ihe **one equal to two angles of the other, each to each ; and** one side equal to one side, namely, either the sides adjacent to the equal angles, or sides which are... | |
| Education Department,London - 1876
...intercepted between any two of such circles will be equal. 4. If two triangles have two angles of the **one equal to two angles of the other each to each, and the side** adjacent to the equal angles equal, the other sides shall be equal each to each, and also the third... | |
| James Hamblin Smith - 1876 - 348 pagina’s
...of Prop, xxvi., see pp. 114-115. PROPOSITION 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, those sides being opposite to equal angles in each ; then must the triangles... | |
| 1876
...triangle is equilateral, it is also equiangular. THEOR. 7. If two triangles have two angles of the **one equal to two angles of the other, each to each, and** have likewise the arms common to these angles equal, then the triangles are identically equal, and... | |
| 1876
...straight lines shall be in one and the same straight line. 2. 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 the equal angles in each or the sides opposite... | |
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