| Elias Loomis - Geometry - 1871 - 302 pages
...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.) ;... | |
| Euclides - 1871 - 136 pages
...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 - Geometry - 1872 - 376 pages
...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 - Student teachers - 1873 - 592 pages
...that it 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... | |
| Marie Joseph L. Adolphe Thiers - 1873 - 244 pages
...\Sfecimen Page, No. 3.} BOOK I. PROP. B. PROPOSITION 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 mutt the triangles be equal in all respects.... | |
| 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.... | |
| University of Madras - 1873 - 436 pages
...given point is ? Could it not be taken on the same side ? III. 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, the sides which are opposite to equal angles in each, prove that... | |
| Education, Higher - 1881 - 504 pages
...their three sides equal they are equal in every respect. 8. 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 in each, or the sides... | |
| Moffatt and Paige - 1881 - 176 pages
...is greater than either of the interior opposite angles. 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., either the sides adjacent to the equal angles in each, or the sides... | |
| John Gibson - 1881 - 302 pages
...right angles, or are together equal to two right angles. 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, vis., sides tchicA are opposite to equal angles in each ; then shall the... | |
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