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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 94
by Euclid, James Thomson - 1837 - 390 pages
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...[Alternative proofs, (i) by Theors. 16 and 5. (ii) By Theors. 7 and 5.] THEOR. 19. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles...
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The Practical Teacher, Volume 2

Education - 1883
...coincide with the vertex of the given angle and then the construction would fail. 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...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...What other converse proposition may be obtained from Proposition V., Book I.? 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, namely, the sides opposite to the equal angles in each,...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Plane - 1884
...that AB is equal to AC, and AD to AE : shew that BE is equal to CD. THEOR. 6. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides between the vertices of these angles equal, then the triangles...
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Questions and exercises in elementary mathematics

Palaestra Oxoniensis - 1884
...given straight lines, of which any two are together greater than the third. (5) If two triangles have two angles of the one equal to two angles of the other, each to each, and have one side equal to one side, viz. either the sides adjacent to the equal angles...
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884
...1-26, Book I, are now published in a similar form to this. PROPOSITION XXVI. 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...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...it would be a proof of both the sixteenth and seventeenth. It shows us that, if two triangles have two angles of the one equal to two angles of the other, each to each or together, their third angles are also equal. The corollaries to this proposition are...
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The elements of plane geometry, Volume 1

Mathematical association - 1884
...straight line joining their vertices bisects the vertical angles. THEOR. 19. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides opposite to one pair of equal angles equal, then the triangles...
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The Eclectic School Geometry: A Revision of Evan's School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 155 pages
...A and B by AF and BF, and the angles a and b by of and bf. Now, since the triangles ABF, abf, have two angles of the one equal to two angles of the other, they are similar (Cor., Theo. IX) ; hence, ABF : abf = AB 2 : a& 2 (Theo. XIV). Multiplying first couplet...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884
...equality of triangles ; the first of which may be separately enunciated thus : If two triangles have two angles of the one equal to two angles of the other, each to each, and also the sides adjacent to these angles equal ; they shall have all their other elements...
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