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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... "
The Elements of Euclid - Side 78
av Euclid - 1838 - 416 sider
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 sider
...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...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871 - 136 sider
...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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 sider
...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....
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 sider
...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...
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The campaigns of Napoleon: Arcola, Marengo, Jena, Waterloo, extr. from ...

Marie Joseph L. Adolphe Thiers - 1873 - 240 sider
...\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....
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An easy introduction to chemistry (based upon a First book of chemistry, by ...

Arthur Rigg - 1873 - 282 sider
...[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....
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The Madras University Calendar

University of Madras - 1873 - 436 sider
...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...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...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...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 sider
...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...
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The Teachers' assistant and pupil teachers' guide, Volum 1

1876 - 400 sider
...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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