 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...  The Elements of Euclid - Page 78by Euclid - 1838 - 416 pagesFull view - About this book
 | 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.) ; and the... | |
 | 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 - 588 pages
...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 - 240 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 - 282 pages
...[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... | |
 | Edward Atkins - 1874 - 426 pages
...Therefore, if two triangles, &c. QE I). Proposition 26. — 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 — namely, either the side adjacent to the equal angles in each, or the... | |
 | Education Department,London - 1876 - 1010 pages
...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... | |
 | 1876 - 400 pages
...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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