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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 First Six Books: Together with the Eleventh and Twelfth - Page 200
by Euclid - 1781 - 520 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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.) ;...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

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....
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

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

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....
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An easy introduction to chemistry (based upon a First book of chemistry, by ...

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....
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The Madras University Calendar

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...
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The Cambridge Examiner, Volume 1

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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

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...
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Guide to preliminary army examination

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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